From e21e92ccc59d7b3ddd6a6a05b36855fc0277ed4d Mon Sep 17 00:00:00 2001 From: Paul Romano Date: Mon, 20 Aug 2012 22:18:48 -0400 Subject: [PATCH] Latest updates to documentation. --- _images/master-slave.eps | 327 ------------------ ...5d5822dfbd029b4f669c9e0a8aedef91c39224.png | Bin 1615 -> 0 bytes ...825852258062cd03f7b296cfaf923c4997df35.png | Bin 621 -> 0 bytes ...61ad52dee7033e356071edb6987a9443532c4b.png | Bin 480 -> 0 bytes ...fee1175367d4cab5143d1b4b5224191bf8ada2.png | Bin 1097 -> 0 bytes ...ec3386d628b5ca8d96ff83af9b240831084348.png | Bin 0 -> 183 bytes ...c7ce223ddb22edcd126ed8d841b796f2f337d9.png | Bin 0 -> 382 bytes ...63cda6e44f82ab17bbe9b3afd95d179897efb8.png | Bin 488 -> 0 bytes ...d0a92f0036a3d39d78a8e8ed331b3b05cfd4e4.png | Bin 434 -> 0 bytes ...dae0bce8afa63ef96324685abd41df435cd92e.png | Bin 675 -> 0 bytes ...6d07beeb3520dabc5ea15941de934dac41cb0f.png | Bin 591 -> 0 bytes ...b308926b16e05829503264de716d485f979826.png | Bin 433 -> 0 bytes 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-> 0 bytes ...5b1609788cdf3c6e5b0f7909ab77ae866a2775.png | Bin 456 -> 0 bytes ...23d97e607b93fa1caa4706d97ff382646094ce.png | Bin 1191 -> 0 bytes ...c7c0908f2b24307dd8c0d64e8082efd5872155.png | Bin 0 -> 379 bytes ...3009dbf6176a47dc83a6c06dd5ce224d6e57d4.png | Bin 0 -> 211 bytes ...6e84fe84a6c63a9c2c392af11652f6e0d72cf4.png | Bin 0 -> 162 bytes ...f0133f5afb7e759a00024c929a5f273f316403.png | Bin 0 -> 316 bytes ...2f03813f247d34e237d7d4f70aad833a23ac36.png | Bin 0 -> 1013 bytes ...ea5c83d5de074b138327d3617c30402fdd9768.png | Bin 0 -> 211 bytes _sources/devguide/index.txt | 1 + _sources/devguide/statepoint.txt | 205 +++++++++++ _sources/devguide/statepointtable.txt | 37 ++ _sources/methods/statistics.txt | 120 +++++++ _sources/releasenotes/index.txt | 1 + _sources/releasenotes/notes_0.4.3.txt | 8 +- _sources/releasenotes/notes_0.4.4.txt | 28 ++ _sources/usersguide/input.txt | 47 ++- devguide/index.html | 5 + devguide/statepoint.html | 266 ++++++++++++++ devguide/statepointtable.html | 171 +++++++++ devguide/xml-fortran.html | 6 +- methods/index.html | 2 + methods/statistics.html | 86 ++++- objects.inv | Bin 1392 -> 1432 bytes publications.html | 6 +- releasenotes/index.html | 7 +- releasenotes/notes_0.4.3.html | 14 +- releasenotes/notes_0.4.4.html | 114 ++++++ searchindex.js | 2 +- usersguide/index.html | 32 +- usersguide/input.html | 84 +++-- 57 files changed, 1174 insertions(+), 395 deletions(-) delete mode 100644 _images/master-slave.eps delete mode 100644 _images/math/055d5822dfbd029b4f669c9e0a8aedef91c39224.png delete mode 100644 _images/math/07825852258062cd03f7b296cfaf923c4997df35.png delete mode 100644 _images/math/0861ad52dee7033e356071edb6987a9443532c4b.png delete mode 100644 _images/math/0afee1175367d4cab5143d1b4b5224191bf8ada2.png create mode 100644 _images/math/13ec3386d628b5ca8d96ff83af9b240831084348.png create mode 100644 _images/math/1bc7ce223ddb22edcd126ed8d841b796f2f337d9.png delete mode 100644 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Any time a change is made in the + format of the state-point file, this integer is incremented. + +**integer(4) VERSION_MAJOR** + + Major version number for OpenMC + +**integer(4) VERSION_MINOR** + + Minor version number for OpenMC + +**integer(4) VERSION_RELEASE** + + Release version number for OpenMC + +**integer(4) run_mode** + + run mode used. The modes are described in constants.F90. + +**integer(8) n_particles** + + Number of particles used per generation. + +**integer(4) n_batches** + + Total number of batches (active + inactive). + +**integer(4) n_inactive** + + Number of inactive batches + +**integer(4) gen_per_batch** + + Number of generations per batch for criticality calculations + +**integer(4) current_batch** + + The number of batches already simulated. + +*do i = 1, current_batch* + + **real(8) k_batch(i)** + + k-effective for the i-th batch + + if (entropy_on) + + **real(8) entropy for the i-th batch** + +**integer(4) N_GLOBAL_TALLIES** + + Number of global tally scores + +*do i = 1, N_GLOBAL_TALLIES* + + **real(8) global_tallies(i) % sum** + + Accumulated sum for the i-th global tally + +*do i = 1, N_GLOBAL_TALLIES* + + **real(8) global_tallies(i) % sum_sq** + + Accumulated sum of squares for the i-th global tally + +**integer(4) n_tallies** + +*do i = 1, n_tallies* + + **integer(4) size(tallies(i) % scores, 1)** + + Total number of score bins for the i-th tally + + **integer(4) size(tallies(i) % scores, 2)** + + Total number of filter bins for the i-th tally + +*do i = 1, n_tallies* + + *do k = 1, size(tallies(i) % scores, 2)* + + *do j = 1, size(tallies(i) % scores, 1)* + + **real(8) tallies(i) % scores(j,k) % sum** + + Accumulated sum for the j-th score and k-th filter of the i-th + tally + + **real(8) tallies(i) % scores(j,k) % sum_sq** + + Accumulated sum of squares for the j-th score and k-th filter of + the i-th tally + +---------- +Revision 1 +---------- + +**integer(4) REVISION_STATEPOINT** + + Revision of the binary state point file. Any time a change is made in the + format of the state-point file, this integer is incremented. + +**integer(4) VERSION_MAJOR** + + Major version number for OpenMC + +**integer(4) VERSION_MINOR** + + Minor version number for OpenMC + +**integer(4) VERSION_RELEASE** + + Release version number for OpenMC + +**integer(4) run_mode** + + run mode used. The modes are described in constants.F90. + +**integer(8) n_particles** + + Number of particles used per generation. + +**integer(4) n_batches** + + Total number of batches (active + inactive). + +**integer(4) n_inactive** + + Number of inactive batches + +**integer(4) gen_per_batch** + + Number of generations per batch for criticality calculations + +**integer(4) current_batch** + + The number of batches already simulated. + +*do i = 1, current_batch* + + **real(8) k_batch(i)** + + k-effective for the i-th batch + + if (entropy_on) + + **real(8) entropy for the i-th batch** + +**integer(4) N_GLOBAL_TALLIES** + + Number of global tally scores + +*do i = 1, N_GLOBAL_TALLIES* + + **real(8) global_tallies(i) % sum** + + Accumulated sum for the i-th global tally + +*do i = 1, N_GLOBAL_TALLIES* + + **real(8) global_tallies(i) % sum_sq** + + Accumulated sum of squares for the i-th global tally + +**integer(4) n_tallies** + +*do i = 1, n_tallies* + + **integer(4) size(tallies(i) % scores, 1)** + + Total number of score bins for the i-th tally + + **integer(4) size(tallies(i) % scores, 2)** + + Total number of filter bins for the i-th tally + + *do k = 1, size(tallies(i) % scores, 2)* + + *do j = 1, size(tallies(i) % scores, 1)* + + **real(8) tallies(i) % scores(j,k) % sum** + + Accumulated sum for the j-th score and k-th filter of the i-th + tally + + *do k = 1, size(tallies(i) % scores, 2)* + + *do j = 1, size(tallies(i) % scores, 1)* + + **real(8) tallies(i) % scores(j,k) % sum_sq** + + Accumulated sum of squares for the j-th score and k-th filter of + the i-th tally diff --git a/_sources/devguide/statepointtable.txt b/_sources/devguide/statepointtable.txt new file mode 100644 index 0000000000..e99526ef1b --- /dev/null +++ b/_sources/devguide/statepointtable.txt @@ -0,0 +1,37 @@ +============ ====================== ============================================= +Type Variable Description +============ ====================== ============================================= +integer(4) REVISION_STATEPOINT Revision of the binary state point file. Any + time a change is made in the format of the + state-point file, this integer is + incremented. +integer(4) VERSION_MAJOR Major version number for OpenMC +integer(4) VERSION_MINOR Minor version number for OpenMC +integer(4) VERSION_RELEASE Release version number for OpenMC +integer(4) run_mode Run mode used. 1 = criticality, 2 = fixed + source +integer(8) n_particles Number of particles used per generation. +integer(4) n_batches Total number of batches (active + inactive). +integer(4) n_inactive Number of inactive batches +integer(4) gen_per_batch Number of generations per batch for + criticality calculations +integer(4) current_batch Number of batches already simulated. +============ ====================== ============================================= + +The next variable appears only for a criticality calculation (run_mode = +MODE_CRITICALITY = 1). + +============ ====================== ============================================= +real(8) k_batch(i), i = 1, k-effective for the i-th batch + current_batch +============ ====================== ============================================= + +The next variable appears only for a criticality calculation where Shannon +entropy has been turned on. + +============ ====================== ============================================= +real(8) entropy(i), i = 1, Shannon entropy for the i-th batch + current_batch +============ ====================== ============================================= + + diff --git a/_sources/methods/statistics.txt b/_sources/methods/statistics.txt index 387c9a675f..16d3e11dfc 100644 --- a/_sources/methods/statistics.txt +++ b/_sources/methods/statistics.txt @@ -173,6 +173,110 @@ of this is that the longer you run a simulation, the better you know your results. Therefore, by running a simulation long enough, it is possible to reduce the stochastic uncertainty to arbitrarily low levels. +Confidence Intervals +-------------------- + +While the sample variance and standard deviation gives us some idea about the +variability of the estimate of the mean of whatever quantities we've tallied, it +does not help us interpret how confidence we should be in the results. To +quantity the reliability of our estimates, we can use `confidence intervals`_ +based on the calculated sample variance. + +A :math:`1-\alpha` confidence interval for a population parameter is defined as +such: if we repeat the same experiment many times and calculate the confidence +interval for each experiment, then :math:`1 - \alpha` percent of the calculated +intervals would encompass the true population parameter. Let :math:`x_1, x_2, +\dots, x_N` be samples from a set of independent, identically-distributed random +variables each with population mean :math:`\mu` and variance +:math:`\sigma^2`. The t-statistic is defined as + +.. math:: + :label: t-statistic + + t = \frac{\bar{x} - \mu}{s/\sqrt{N}} + +where :math:`\bar{x}` is the sample mean from equation :eq:`sample-mean` and +:math:`s` is the standard deviation based on equation +:eq:`unbiased-variance`. If the random variables :math:`X_i` are +normally-distributed, then the t-statistic has a `Student's t-distribution`_ +with :math:`N-1` degrees of freedom. This implies that + +.. math:: + :label: t-probability + + Pr \left ( -t_{1 - \alpha/2, N - 1} \le \frac{\bar{x} - \mu}{s/\sqrt{N}} \le + t_{1 - \alpha/2, N - 1} \right ) = 1 - \alpha + +where :math:`t_{1-\alpha/2, N-1}` is the :math:`1 - \alpha/2` percentile of a +t-distribution with :math:`N-1` degrees of freedom. Thus, the :math:`1 - \alpha` +two sided confidence interval for the sample mean is + +.. math:: + :label: two-sided-ci + + \bar{x} \pm t_{1 - \alpha/2, N-1} \frac{s}{\sqrt{N}}. + +One should be cautioned that equation :eq:`two-sided-ci` **only applies if the +underlying random variables are normally-distributed!** In general, this may not +be true for a tally random variable -- the central limit theorem guarantees only +that the sample mean is normally distributed, not the underlying random +variable. If batching is used, then the underlying random variable, which would +then be the averages from each batch, will be normally distributed as long as +the conditions of the central limit theorem are met. + +Let us now outline the method used to calculate the percentile of the Student's +t-distribution. For one or two degrees of freedom, the percentile can be written +analytically. For one degree of freedom, the t-distribution becomes a standard +`Cauchy distribution`_ whose cumulative distribution function is + +.. math:: + :label: cauchy-cdf + + c(x) = \frac{1}{\pi} \arctan x + \frac{1}{2}. + +Thus, inverting the cumulative distribution function, we find the :math:`x` +percentile of the standard Cauchy distribution to be + +.. math:: + :label: percentile-1 + + t_{x,1} = \tan \left ( \pi \left ( x - \frac{1}{2} \right ) \right ). + +For two degrees of freedom, the cumulative distribution function is the +second-degree polynomial + +.. math:: + :label: t-2-polynomial + + c(x) = \frac{1}{2} + \frac{x}{2\sqrt{x^2 + 2}} + +Solving for :math:`x`, we find the :math:`x` percentile to be + +.. math:: + :label: percentile-2 + + t_{x,2} = \frac{2\sqrt{2} (x - 1/2)}{\sqrt{1 - 4 (x - 1/2)^2}} + +For degrees of freedom greater than two, it is not possible to obtain an +analytical formula for the inverse of the cumulative distribution function. We +must resort to either numerically solving for the inverse or to an +approximation. Approximations for percentiles of the t-distribution have been +found with high levels of accuracy. OpenMC uses the approximation from +[George]_: + +.. math:: + :label: percentile-n + + t_{x,n} = \sqrt{\frac{n}{n-2}} \left ( z_x + \frac{1}{4} \frac{z_x^3 - + 3z_x}{n-2} + \frac{1}{96} \frac{5z_x^5 - 56z_x^3 + 75z_x}{(n-2)^2} + + \frac{1}{384} \frac{3z_x^7 - 81z_x^5 + 417z_x^3 - 315z_x}{(n-2)^3} \right ) + +where :math:`z_x` is the :math:`x` percentile of the standard normal +distribution. In order to determine an arbitrary percentile of the standard +normal distribution, we use an `unpublished rational approximation`_. After +using the rational approximation, one iteration of Newton's method is applied to +improve the estimate of the percentile. + ------------------------ Random Number Generation ------------------------ @@ -226,6 +330,14 @@ Note that equation :eq:`lcg-skipahead` has the same form as equation :eq:`lcg` so the idea is to determine the new multiplicative and additive constants in :math:`O(\log N)` operations. +---------- +References +---------- + +.. [George] E. E. Olusegun George and Meenakshi Sivaram, "A modification of the + Fisher-Cornish approximation for the student t percentiles," Communication + in Statistics - Simulation and Computation, 16 (4), pp. 1123-1132 (1987). + .. _linear congruential generator: http://en.wikipedia.org/wiki/Linear_congruential_generator .. _Brown: https://laws.lanl.gov/vhosts/mcnp.lanl.gov/pdf_files/anl_rn_arb-strides_1994.pdf @@ -247,3 +359,11 @@ so the idea is to determine the new multiplicative and additive constants in .. _normal distribution: http://en.wikipedia.org/wiki/Normal_distribution .. _converges in distribution: http://en.wikipedia.org/wiki/Convergence_of_random_variables#Convergence_in_distribution + +.. _confidence intervals: http://en.wikipedia.org/wiki/Confidence_interval + +.. _Student's t-distribution: http://en.wikipedia.org/wiki/Student%27s_t-distribution + +.. _Cauchy distribution: http://en.wikipedia.org/wiki/Cauchy_distribution + +.. _unpublished rational approximation: http://home.online.no/~pjacklam/notes/invnorm/ diff --git a/_sources/releasenotes/index.txt b/_sources/releasenotes/index.txt index 41693f0df3..6424aebbe0 100644 --- a/_sources/releasenotes/index.txt +++ b/_sources/releasenotes/index.txt @@ -10,6 +10,7 @@ bugs fixed, and known issues for each successive release. .. toctree:: :maxdepth: 1 + notes_0.4.4 notes_0.4.3 notes_0.4.2 notes_0.4.1 diff --git a/_sources/releasenotes/notes_0.4.3.txt b/_sources/releasenotes/notes_0.4.3.txt index 681b12290b..fce7a7da37 100644 --- a/_sources/releasenotes/notes_0.4.3.txt +++ b/_sources/releasenotes/notes_0.4.3.txt @@ -4,10 +4,6 @@ Release Notes for OpenMC 0.4.3 ============================== -.. note:: - These release notes are for an upcoming release of OpenMC and are still - subject to change. - ------------------- System Requirements ------------------- @@ -21,7 +17,9 @@ the problem at hand (mostly on the number of nuclides in the problem). New Features ------------ +- Option to report confidence intervals for tally results. - Rotation and translation for filled cells. +- Ability to explicitly specify for tallies. - Ability to store state points and use them to restart runs. - Fixed source calculations (no subcritical multiplication however). - Expanded options for external source distribution. @@ -34,6 +32,7 @@ New Features Bug Fixes --------- +- 33f29a_: Handle negative values in probability table. - 1c472d_: Fixed survival biasing with probability tables. - 3c6e80_: Fixed writing tallies with no filters. - 460ef1_: Invalid results for duplicate tallies. @@ -43,6 +42,7 @@ Bug Fixes - 3212f5_: Fixed issue with blank line at beginning of XML files. .. _nelsonag: https://github.com/nelsonag +.. _33f29a: https://github.com/mit-crpg/openmc/commit/33f29a .. _1c472d: https://github.com/mit-crpg/openmc/commit/1c472d .. _3c6e80: https://github.com/mit-crpg/openmc/commit/3c6e80 .. _3bd35b: https://github.com/mit-crpg/openmc/commit/3bd35b diff --git a/_sources/releasenotes/notes_0.4.4.txt b/_sources/releasenotes/notes_0.4.4.txt new file mode 100644 index 0000000000..665ad29740 --- /dev/null +++ b/_sources/releasenotes/notes_0.4.4.txt @@ -0,0 +1,28 @@ +.. _notes_0.4.4: + +============================== +Release Notes for OpenMC 0.4.4 +============================== + +.. note:: + These release notes are for an upcoming release of OpenMC and are still + subject to change. + +------------------- +System Requirements +------------------- + +There are no special requirements for running the OpenMC code. As of this +release, OpenMC has been tested on a variety of Linux distributions, Mac OS X, +and Microsoft Windows 7. Memory requirements will vary depending on the size of +the problem at hand (mostly on the number of nuclides in the problem). + +------------ +New Features +------------ + +- Option to specify for tally meshes. + +--------- +Bug Fixes +--------- diff --git a/_sources/usersguide/input.txt b/_sources/usersguide/input.txt index 73c428e964..b4d5b9f9cb 100644 --- a/_sources/usersguide/input.txt +++ b/_sources/usersguide/input.txt @@ -55,6 +55,17 @@ Settings Specification -- settings.xml All simulation parameters and miscellaneous options are specified in the settings.xml file. +```` Element +---------------------------------- + +The ```` element has no attributes and has an accepted +value of "on" or "off". If set to "on", uncertainties on tally results will be +reported as the half-width of the 95% two-sided confidence interval. If set to +"off", uncertainties on tally results will be reported as the sample standard +deviation. + + *Default*: off + ```` Element ------------------------- @@ -344,8 +355,21 @@ displayed. This element takes the following attributes: *Default*: 5 +```` Element +------------------------------- + +The ```` element is used to indicate batches at which the +user wishes to have a binary state point file written to disk. The state point +file can be used to restart a run or to get tally results at an intermediate +stage. This element has no attributes and should consist of a list of integers +corresponding to batches at which a binary state point file should be written to +disk. + + *Default*: None + + ```` Element ------------------------------- +-------------------------- The ```` element has no attributes and has an accepted value of "on" or "off". If set to "on", a binary source file will be written to disk at @@ -512,9 +536,9 @@ Each ```` element can have the following attributes or sub-elements: :rotation: If the cell is filled with a universe, this element specifies the angles in degrees about the x, y, and z axes that the filled universe should be - rotated. Should be given as three real numbers.For example, if you wanted to - rotate the filled universe by 90 degrees about the z-axis, the cell element - would look something like: + rotated. Should be given as three real numbers. For example, if you wanted + to rotate the filled universe by 90 degrees about the z-axis, the cell + element would look something like: .. code-block:: xml @@ -669,6 +693,21 @@ The ```` element accepts the following sub-elements: A list of filters to specify what region of phase space should contribute to the tally. See below for full details on what filters are available. + :nuclides: + + If specified, the scores listed will be for particular nuclides, not the + summation of reactions from all nuclides. The format for nuclides should be + [Atomic symbol]-[Mass number], e.g. "U-235". The reaction rate for all + nuclides can be obtained with "total". For example, to obtain the reaction + rates for U-235, Pu-239, and all nuclides in a material, this element should + be: + + .. code-block:: xml + + U-235 Pu-239 total + + *Default*: total + :scores: The desired responses to be accumulated. See below for full details on what responses can be tallied. diff --git a/devguide/index.html b/devguide/index.html index 35169eb678..ac0033150e 100644 --- a/devguide/index.html +++ b/devguide/index.html @@ -60,6 +60,11 @@ as debugging.

 diff --git a/devguide/statepoint.html b/devguide/statepoint.html new file mode 100644 index 0000000000..18d6016ac5 --- /dev/null +++ b/devguide/statepoint.html @@ -0,0 +1,266 @@ + + + + + + + + + + 3. State Point Binary File Specifications — OpenMC Documentation + + + + + + + + + + + + + + + + +
+ + + +
+
+ +

+ «  2. xml-fortran Input Parsing +   ::   + Contents +   ::   + Publications  » +

+ +
+
+ + +
+

3. State Point Binary File Specifications

+
+

3.1. Revision 2

+

integer(4) REVISION_STATEPOINT

+
+
Revision of the binary state point file. Any time a change is made in the +format of the state-point file, this integer is incremented.
+

integer(4) VERSION_MAJOR

+
+
Major version number for OpenMC
+

integer(4) VERSION_MINOR

+
+
Minor version number for OpenMC
+

integer(4) VERSION_RELEASE

+
+
Release version number for OpenMC
+

integer(4) run_mode

+
+
run mode used. The modes are described in constants.F90.
+

integer(8) n_particles

+
+
Number of particles used per generation.
+

integer(4) n_batches

+
+
Total number of batches (active + inactive).
+

integer(4) n_inactive

+
+
Number of inactive batches
+

integer(4) gen_per_batch

+
+
Number of generations per batch for criticality calculations
+

integer(4) current_batch

+
+
The number of batches already simulated.
+

do i = 1, current_batch

+
+

real(8) k_batch(i)

+
+
k-effective for the i-th batch
+

if (entropy_on)

+
+
real(8) entropy for the i-th batch
+
+

integer(4) N_GLOBAL_TALLIES

+
+
Number of global tally scores
+

do i = 1, N_GLOBAL_TALLIES

+
+

real(8) global_tallies(i) % sum

+
+
Accumulated sum for the i-th global tally
+
+

do i = 1, N_GLOBAL_TALLIES

+
+

real(8) global_tallies(i) % sum_sq

+
+
Accumulated sum of squares for the i-th global tally
+
+

integer(4) n_tallies

+

do i = 1, n_tallies

+
+

integer(4) size(tallies(i) % scores, 1)

+
+
Total number of score bins for the i-th tally
+

integer(4) size(tallies(i) % scores, 2)

+
+
Total number of filter bins for the i-th tally
+
+

do i = 1, n_tallies

+
+

do k = 1, size(tallies(i) % scores, 2)

+
+

do j = 1, size(tallies(i) % scores, 1)

+
+

real(8) tallies(i) % scores(j,k) % sum

+
+
Accumulated sum for the j-th score and k-th filter of the i-th +tally
+

real(8) tallies(i) % scores(j,k) % sum_sq

+
+
Accumulated sum of squares for the j-th score and k-th filter of +the i-th tally
+
+
+
+
+
+

3.2. Revision 1

+

integer(4) REVISION_STATEPOINT

+
+
Revision of the binary state point file. Any time a change is made in the +format of the state-point file, this integer is incremented.
+

integer(4) VERSION_MAJOR

+
+
Major version number for OpenMC
+

integer(4) VERSION_MINOR

+
+
Minor version number for OpenMC
+

integer(4) VERSION_RELEASE

+
+
Release version number for OpenMC
+

integer(4) run_mode

+
+
run mode used. The modes are described in constants.F90.
+

integer(8) n_particles

+
+
Number of particles used per generation.
+

integer(4) n_batches

+
+
Total number of batches (active + inactive).
+

integer(4) n_inactive

+
+
Number of inactive batches
+

integer(4) gen_per_batch

+
+
Number of generations per batch for criticality calculations
+

integer(4) current_batch

+
+
The number of batches already simulated.
+

do i = 1, current_batch

+
+

real(8) k_batch(i)

+
+
k-effective for the i-th batch
+

if (entropy_on)

+
+
real(8) entropy for the i-th batch
+
+

integer(4) N_GLOBAL_TALLIES

+
+
Number of global tally scores
+

do i = 1, N_GLOBAL_TALLIES

+
+

real(8) global_tallies(i) % sum

+
+
Accumulated sum for the i-th global tally
+
+

do i = 1, N_GLOBAL_TALLIES

+
+

real(8) global_tallies(i) % sum_sq

+
+
Accumulated sum of squares for the i-th global tally
+
+

integer(4) n_tallies

+

do i = 1, n_tallies

+
+

integer(4) size(tallies(i) % scores, 1)

+
+
Total number of score bins for the i-th tally
+

integer(4) size(tallies(i) % scores, 2)

+
+
Total number of filter bins for the i-th tally
+

do k = 1, size(tallies(i) % scores, 2)

+
+

do j = 1, size(tallies(i) % scores, 1)

+
+

real(8) tallies(i) % scores(j,k) % sum

+
+
Accumulated sum for the j-th score and k-th filter of the i-th +tally
+
+
+

do k = 1, size(tallies(i) % scores, 2)

+
+

do j = 1, size(tallies(i) % scores, 1)

+
+

real(8) tallies(i) % scores(j,k) % sum_sq

+
+
Accumulated sum of squares for the j-th score and k-th filter of +the i-th tally
+
+
+
+
+
+ + +
+
+ +

+ «  2. xml-fortran Input Parsing +   ::   + Contents +   ::   + Publications  » +

+ +
+ + +
+ © Copyright 2011-2012, Massachusetts Institute of Technology. + Created using Sphinx 1.1.3. +
+ + + + \ No newline at end of file diff --git a/devguide/statepointtable.html b/devguide/statepointtable.html new file mode 100644 index 0000000000..408caca035 --- /dev/null +++ b/devguide/statepointtable.html @@ -0,0 +1,171 @@ + + + + + + + + + + <no title> — OpenMC Documentation + + + + + + + + + + + + + +
+ + + +
+
+ +

+ Contents +

+ +
+
+ + + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
TypeVariableDescription
integer(4)REVISION_STATEPOINTRevision of the binary state point file. Any +time a change is made in the format of the +state-point file, this integer is +incremented.
integer(4)VERSION_MAJORMajor version number for OpenMC
integer(4)VERSION_MINORMinor version number for OpenMC
integer(4)VERSION_RELEASERelease version number for OpenMC
integer(4)run_modeRun mode used. 1 = criticality, 2 = fixed +source
integer(8)n_particlesNumber of particles used per generation.
integer(4)n_batchesTotal number of batches (active + inactive).
integer(4)n_inactiveNumber of inactive batches
integer(4)gen_per_batchNumber of generations per batch for +criticality calculations
integer(4)current_batchNumber of batches already simulated.
+

The next variable appears only for a criticality calculation (run_mode = +MODE_CRITICALITY = 1).

+ +++++ + + + + + + +
real(8)k_batch(i), i = 1, +current_batchk-effective for the i-th batch
+

The next variable appears only for a criticality calculation where Shannon +entropy has been turned on.

+ +++++ + + + + + + +
real(8)entropy(i), i = 1, +current_batchShannon entropy for the i-th batch
+ + +
+
+ +

+ Contents +

+ +
+ + +
+ © Copyright 2011-2012, Massachusetts Institute of Technology. + Created using Sphinx 1.1.3. +
+ + + + \ No newline at end of file diff --git a/devguide/xml-fortran.html b/devguide/xml-fortran.html index ffcf64dd41..10f9c0f7a8 100644 --- a/devguide/xml-fortran.html +++ b/devguide/xml-fortran.html @@ -29,7 +29,7 @@ - + @@ -45,7 +45,7 @@   ::   Contents   ::   - Publications  » + 3. State Point Binary File Specifications  »

@@ -65,7 +65,7 @@   ::   Contents   ::   - Publications  » + 3. State Point Binary File Specifications  »

diff --git a/methods/index.html b/methods/index.html index d0cf34ca85..3fb97cf856 100644 --- a/methods/index.html +++ b/methods/index.html @@ -74,9 +74,11 @@
  • 3.3.1. Mean
  • 3.3.2. Variance
  • 3.3.3. Variance of the Mean
    • +
  • 3.3.4. Confidence Intervals
  • 3.4. Random Number Generation
    • +
  • 3.5. References
  • 4. Geometry
      diff --git a/methods/statistics.html b/methods/statistics.html index c91bcd7d42..a6fcf27f63 100644 --- a/methods/statistics.html +++ b/methods/statistics.html @@ -178,6 +178,75 @@ of this is that the longer you run a simulation, the better you know your results. Therefore, by running a simulation long enough, it is possible to reduce the stochastic uncertainty to arbitrarily low levels.

      +
      +

      3.3.4. Confidence Intervals

      +

      While the sample variance and standard deviation gives us some idea about the +variability of the estimate of the mean of whatever quantities we’ve tallied, it +does not help us interpret how confidence we should be in the results. To +quantity the reliability of our estimates, we can use confidence intervals +based on the calculated sample variance.

      +

      A 1-\alpha confidence interval for a population parameter is defined as +such: if we repeat the same experiment many times and calculate the confidence +interval for each experiment, then 1 - \alpha percent of the calculated +intervals would encompass the true population parameter. Let x_1, x_2, +\dots, x_N be samples from a set of independent, identically-distributed random +variables each with population mean \mu and variance +\sigma^2. The t-statistic is defined as

      +
      +

      (9)t = \frac{\bar{x} - \mu}{s/\sqrt{N}}

      +

      where \bar{x} is the sample mean from equation (2) and +s is the standard deviation based on equation +(5). If the random variables X_i are +normally-distributed, then the t-statistic has a Student’s t-distribution +with N-1 degrees of freedom. This implies that

      +
      +

      (10)Pr \left ( -t_{1 - \alpha/2, N - 1} \le \frac{\bar{x} - \mu}{s/\sqrt{N}} \le +t_{1 - \alpha/2, N - 1} \right ) = 1 - \alpha

      +

      where t_{1-\alpha/2, N-1} is the 1 - \alpha/2 percentile of a +t-distribution with N-1 degrees of freedom. Thus, the 1 - \alpha +two sided confidence interval for the sample mean is

      +
      +

      (11)\bar{x} \pm t_{1 - \alpha/2, N-1} \frac{s}{\sqrt{N}}.

      +

      One should be cautioned that equation (11) only applies if the +underlying random variables are normally-distributed! In general, this may not +be true for a tally random variable – the central limit theorem guarantees only +that the sample mean is normally distributed, not the underlying random +variable. If batching is used, then the underlying random variable, which would +then be the averages from each batch, will be normally distributed as long as +the conditions of the central limit theorem are met.

      +

      Let us now outline the method used to calculate the percentile of the Student’s +t-distribution. For one or two degrees of freedom, the percentile can be written +analytically. For one degree of freedom, the t-distribution becomes a standard +Cauchy distribution whose cumulative distribution function is

      +
      +

      (12)c(x) = \frac{1}{\pi} \arctan x + \frac{1}{2}.

      +

      Thus, inverting the cumulative distribution function, we find the x +percentile of the standard Cauchy distribution to be

      +
      +

      (13)t_{x,1} = \tan \left ( \pi \left ( x - \frac{1}{2} \right ) \right ).

      +

      For two degrees of freedom, the cumulative distribution function is the +second-degree polynomial

      +
      +

      (14)c(x) = \frac{1}{2} + \frac{x}{2\sqrt{x^2 + 2}}

      +

      Solving for x, we find the x percentile to be

      +
      +

      (15)t_{x,2} = \frac{2\sqrt{2} (x - 1/2)}{\sqrt{1 - 4 (x - 1/2)^2}}

      +

      For degrees of freedom greater than two, it is not possible to obtain an +analytical formula for the inverse of the cumulative distribution function. We +must resort to either numerically solving for the inverse or to an +approximation. Approximations for percentiles of the t-distribution have been +found with high levels of accuracy. OpenMC uses the approximation from +[George]:

      +
      +

      (16)t_{x,n} = \sqrt{\frac{n}{n-2}} \left ( z_x + \frac{1}{4} \frac{z_x^3 - +3z_x}{n-2} + \frac{1}{96} \frac{5z_x^5 - 56z_x^3 + 75z_x}{(n-2)^2} + +\frac{1}{384} \frac{3z_x^7 - 81z_x^5 + 417z_x^3 - 315z_x}{(n-2)^3} \right )

      +

      where z_x is the x percentile of the standard normal +distribution. In order to determine an arbitrary percentile of the standard +normal distribution, we use an unpublished rational approximation. After +using the rational approximation, one iteration of Newton’s method is applied to +improve the estimate of the percentile.

      +

      Note that equation (18) has the same form as equation (17) so the idea is to determine the new multiplicative and additive constants in O(\log N) operations.

      +
      +

      3.5. References

      + + + + + +
      [George]E. E. Olusegun George and Meenakshi Sivaram, “A modification of the +Fisher-Cornish approximation for the student t percentiles,” Communication +in Statistics - Simulation and Computation, 16 (4), pp. 1123-1132 (1987).
      +
      diff --git a/objects.inv b/objects.inv index 92c88c656a62cf7f562f6be3f8add9d128e0b737..849ad3dacd3d6f72766f6aa895f1c58d303a7876 100644 GIT binary patch delta 1327 zcmV+~1|;EO{-t zAN%WfWJ$K{G{Gqp>PRzZq?yq{{@H<%uC_tK|0JBpW&KPF6Has1m`}vD*-hbiyaT@up+RuRcITV)} zygQULvfhEJJ_wT;SvK=ZsQe=-RMwdF5y}r5CY(Q6s;m}39_&z3u=h6*;`6BG?nAe$ zKO@)k1$ks|4OJ@i_X9W2op5&wD|$@ z+=giU2nfMy*;M$yHV8ry|x!Cv7j{Wm?*e?9D| z_k3bTb$^CWKzDZC^a$Vf$a;@w_dn|VBRwCb?JpevRg-%=lcdP(m<}pt|%{oXMkgcKi%Q@^8)4pImC&qJ5-zCSd$&$MCQ@bGN97OshIISQdSdOoPE5nYNy{ z%rIos@Vm`Cl52&U(8$~&`ROeBHR$<1L_h4>L4T+cQ@^)lKOS~|>qe}$k~Od*DeH|0 z+&)mVXePKnM`K;a-U~sus=~6!11XCv204p;<8Q}=C=ePMEnz88!QQMKoFJZ46wfu= z)PhxHfqhU`YQr{2hzki-{$W*4CppMZq&$pz-EjhL7p8H61x=NzQ0SQfJ!(bk;A!cZ z*?(5P1DY`Ys+Aa^{i+8o$z z4hlc3kAQJgbCKDt21duziq1jOz@`6-n&yjVuViyoAyZ@SGN*JGey%TgT%wKT5USIL zS4TyD2wr66yqZ3=QBVh6ibqx6+v586%YV}7%gf|^c7An4eSMozbhl9uaIY z@<$1BIVX*McS-U^g!iTdUlFORZ)D-U)%NJMC>-tsWY80a+dxsRIz*SM4dh(PJz9%e zx3$>2Ty?(Jx87{n-_rk0pP3y*2=K*+7nz5noNRM%+=D7mkIHW>FadJWL2y?_3t zOmNd4ANSI*Szfh37^4M30Tlu{NE*iF$Rl|R*uqFZ_AK!&a!^M+gll`zz#)XiOVL)q z5q%m0|M2#>#2Zz+BZ_pCako^I3y^xy3Vtv^JbIh!yaGo$Tl~n`IBs2Rw;11M3oipz zfmeg2YL<_G^X8ek^3Te)*ip_$7Jns_JocQ&-%O-iEV=|7V`xuW%?D7vWio=VQo-`U(P z*-3zGIF1bn^>Wl+E{A)$JieF9D8g)1gxN5{?0AG(oGrZK;e`wIPN~Ch%P81rFK<1B lb@anFT%f?{g@LT1%}MGow+?vtmJVgryi>aO+yAY>jPM~0n{xmF delta 1286 zcmV+h1^N1z3-Ah%dVf#rI1qi$uduX8_sP%#(n{!RB`5_UQI@^!YVR9zlWA&Q$IiwM z(Eas0j_t$=v`UeXNIf&h_I#WfrztBRObFPA?4|raW}VyjPiy+z*Ge?7D&6)G z-I~AJ(kVQ%9DkAx&+7`P#3j%M|MPsiR@D*bIljW)2XwXT#3O9mlJyqP?thf|2Xa1g+uykUO_O^oNgB7lOinLP z&kwjg(tmO&%>td!OM2c91KD6%{#k-t%t)i3{9E(%7nj;*Y=4Vb5)Sv5UBlXQ>h6pg zyt=~1(y3E}Q5v`_D4cZ)4lf93WO>UB!(I@6w}If&RLIs%1KQUZI*oovdbSVI4|{eH zs>DcqII>?4H@|f&w(F4sqji%rTf{rPgeXBsZ5(U)XnkM>|14_MGtsS5ij zGoVMEXca6irog%Xi+#!m&rUouRUr+a?=siD&b+MO z#JEHqJ6BPiHe5Ms=Z9cLmd>ilL%R$1Hs|6|k@vcIzK>z)XzOAWxm^s&?cy-GU37zw z4=^5N1agId&r!Ccy)%wl??v!=q7Mrzv0?eFfCPec30^jsTt7kuGI|o3?!1AaA|A zY=Ll(7AQ$^+C~nNhH*KvByRyz80p8>65k*Pb;Lusw!;H1AuJ9$8vzHJ%naH)?0FZlhrH#h3;+B5f z;-8M9i0P0briUqF8tpI{wZmk%!++%P4wL@V=aV_B*NUQPtM~kIc7E`3ldo$5vf()Q zD8xL%_9d`a72Hr`-^Ngkdyt=?_ZwqOM>KX1YbcVkUJE~J5ArdV1dQisExtESTqps( wRcimsFIM{CfgZvt`e9QikXbbUBR^V!Z diff --git a/publications.html b/publications.html index a87fe417db..f0a9eecfe1 100644 --- a/publications.html +++ b/publications.html @@ -29,7 +29,7 @@ - +
      @@ -40,7 +40,7 @@

      - «  2. xml-fortran Input Parsing + «  3. State Point Binary File Specifications   ::   Contents   ::   @@ -74,7 +74,7 @@ pp. 125–135 (2012). [

      - «  2. xml-fortran Input Parsing + «  3. State Point Binary File Specifications   ::   Contents   ::   diff --git a/releasenotes/index.html b/releasenotes/index.html index f90d9a4628..ec3f7a8de8 100644 --- a/releasenotes/index.html +++ b/releasenotes/index.html @@ -28,7 +28,7 @@ - + @@ -44,7 +44,7 @@   ::   Contents   ::   - Release Notes for OpenMC 0.4.3  » + Release Notes for OpenMC 0.4.4  »

      @@ -57,6 +57,7 @@ bugs fixed, and known issues for each successive release.

      diff --git a/releasenotes/notes_0.4.3.html b/releasenotes/notes_0.4.3.html index 64dc1a1a9b..34e91edd47 100644 --- a/releasenotes/notes_0.4.3.html +++ b/releasenotes/notes_0.4.3.html @@ -30,7 +30,7 @@ - +
      @@ -41,7 +41,7 @@

      - «  Release Notes + «  Release Notes for OpenMC 0.4.4   ::   Contents   ::   @@ -54,11 +54,6 @@

      Release Notes for OpenMC 0.4.3

      -
      -

      Note

      -

      These release notes are for an upcoming release of OpenMC and are still -subject to change.

      -

      System Requirements

      There are no special requirements for running the OpenMC code. As of this @@ -69,7 +64,9 @@ the problem at hand (mostly on the number of nuclides in the problem).

      New Features

        +
      • Option to report confidence intervals for tally results.
      • Rotation and translation for filled cells.
        • +
      • Ability to explicitly specify <estimator> for tallies.
      • Ability to store state points and use them to restart runs.
      • Fixed source calculations (no subcritical multiplication however).
      • Expanded options for external source distribution.
        • @@ -82,6 +79,7 @@ the problem at hand (mostly on the number of nuclides in the problem).

        Bug Fixes

          +
        • 33f29a: Handle negative values in probability table.
        • 1c472d: Fixed survival biasing with probability tables.
        • 3c6e80: Fixed writing tallies with no filters.
        • 460ef1: Invalid results for duplicate tallies.
          • @@ -98,7 +96,7 @@ the problem at hand (mostly on the number of nuclides in the problem).

          - «  Release Notes + «  Release Notes for OpenMC 0.4.4   ::   Contents   ::   diff --git a/releasenotes/notes_0.4.4.html b/releasenotes/notes_0.4.4.html new file mode 100644 index 0000000000..3c2e188049 --- /dev/null +++ b/releasenotes/notes_0.4.4.html @@ -0,0 +1,114 @@ + + + + + + + + + + Release Notes for OpenMC 0.4.4 — OpenMC Documentation + + + + + + + + + + + + + + + + +

          + + + +
          +
          + +

          + «  Release Notes +   ::   + Contents +   ::   + Release Notes for OpenMC 0.4.3  » +

          + +
          +
          + + +
          +

          Release Notes for OpenMC 0.4.4

          +
          +

          Note

          +

          These release notes are for an upcoming release of OpenMC and are still +subject to change.

          +
          +
          +

          System Requirements

          +

          There are no special requirements for running the OpenMC code. As of this +release, OpenMC has been tested on a variety of Linux distributions, Mac OS X, +and Microsoft Windows 7. Memory requirements will vary depending on the size of +the problem at hand (mostly on the number of nuclides in the problem).

          +
          +
          +

          New Features

          +
            +
          • Option to specify <upper_right> for tally meshes.
            • +
          +
          +
          +

          Bug Fixes

          +
          +
          + + +
          +
          + +

          + «  Release Notes +   ::   + Contents +   ::   + Release Notes for OpenMC 0.4.3  » +

          + +
          + + +
          + © Copyright 2011-2012, Massachusetts Institute of Technology. + Created using Sphinx 1.1.3. +
          + + + + \ No newline at end of file diff --git a/searchindex.js b/searchindex.js index a892c02127..f893dbd5b3 100644 --- a/searchindex.js +++ b/searchindex.js @@ -1 +1 @@ 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Installation and Configuration","Release Notes for OpenMC 0.4.3","3. Writing XML Input Files","Release Notes for OpenMC 0.4.4","Release Notes for OpenMC 0.4.1","Release Notes for OpenMC 0.4.0","Theory and Methodology","Release Notes for OpenMC 0.4.2","5. Physics","The OpenMC Monte Carlo Code","<no title>","Developer’s Guide","Release Notes","1. A Beginner’s Guide to OpenMC","4. Geometry","Quick Install Guide","User’s Guide","Development Team","2. xml-fortran Input Parsing","6. Tallies","7. Parallelization","3. State Point Binary File Specifications","License Agreement","1. Data Structures","1. Introduction","3. Statistics","Publications","4. Troubleshooting OpenMC","2. Criticality Calculations"],objnames:{},filenames:["usersguide/install","releasenotes/notes_0.4.3","usersguide/input","releasenotes/notes_0.4.4","releasenotes/notes_0.4.1","releasenotes/notes_0.4.0","methods/index","releasenotes/notes_0.4.2","methods/physics","index","devguide/statepointtable","devguide/index","releasenotes/index","usersguide/beginners","methods/geometry","quickinstall","usersguide/index","developers","devguide/xml-fortran","methods/tallies","methods/parallelization","devguide/statepoint","license","devguide/structures","methods/introduction","methods/statistics","publications","usersguide/troubleshoot","methods/criticality"]}) \ No newline at end of file diff --git a/usersguide/index.html b/usersguide/index.html index f54bdb00bc..734059f1d6 100644 --- a/usersguide/index.html +++ b/usersguide/index.html @@ -76,21 +76,23 @@ essential aspects of using OpenMC to perform neutronic simulations.

        • 3. Writing XML Input Files
          • -

          3.2.2. <cross_sections> Element

          +

          3.2.3. <cross_sections> Element

          The <cross_sections> element has no attributes and simply indicates the path to an XML cross section listing file (usually named cross_sections.xml). If this element is absent from the settings.xml file, the CROSS_SECTIONS @@ -138,7 +148,7 @@ environment variable will be used to find the path to the XML cross section listing.

          -

          3.2.3. <cutoff> Element

          +

          3.2.4. <cutoff> Element

          The <cutoff> element indicates the weight cutoff used below which particles undergo Russian roulette. Surviving particles are assigned a user-determined weight. Note that weight cutoffs and Russian rouletting are not turned on by @@ -162,7 +172,7 @@ roulette.

        -

        3.2.4. <energy_grid> Element

        +

        3.2.5. <energy_grid> Element

        The <energy_grid> element determines the treatment of the energy grid during a simulation. Setting this element to “nuclide” will cause OpenMC to use a nuclide’s energy grid when determining what points to interpolate between for @@ -173,7 +183,7 @@ treatment is slightly different than that employed in Serpent.

        Default: union
        -

        3.2.5. <entropy> Element

        +

        3.2.6. <entropy> Element

        The <entropy> element describes a mesh that is used for calculating Shannon entropy. This mesh should cover all possible fissionable materials in the problem. It has the following attributes/sub-elements:

        @@ -203,7 +213,7 @@ problem. It has the following attributes/sub-elements:

      -

      3.2.6. <fixed_source> Element

      +

      3.2.7. <fixed_source> Element

      The <fixed_source> element indicates that a fixed source calculation should be performed. It has the following attributes/sub-elements:

      @@ -225,7 +235,7 @@ represents a realization of random variables for tallies.

      -

      3.2.7. <no_reduce> Element

      +

      3.2.8. <no_reduce> Element

      The <no_reduce> element has no attributes and has an accepted value of “on” or “off”. If set to “on”, all user-defined tallies and global tallies will not be reduced across processors in a parallel calculation. This means that the @@ -236,7 +246,7 @@ tally data, this option can significantly improve the parallel efficiency.

      Default: off
      -

      3.2.8. <ptables> Element

      +

      3.2.9. <ptables> Element

      The <ptables> element determines whether probability tables should be used in the unresolved resonance range if available. This element has no attributes or sub-elements and can be set to either “off” or “on”.

      @@ -244,14 +254,14 @@ or sub-elements and can be set to either “off” or “on”.<
      Default: on
      -

      3.2.9. <seed> Element

      +

      3.2.10. <seed> Element

      The seed element is used to set the seed used for the linear congruential pseudo-random number generator.

      Default: 1
      -

      3.2.10. <source> Element

      +

      3.2.11. <source> Element

      The source element gives information on an external source distribution to be used either as the source for a fixed source calculation or the initial source guess for criticality calculations. It takes the following @@ -353,7 +363,7 @@ c E e^{-E/a} dE"/>.

      -

      3.2.11. <survival_biasing> Element

      +

      3.2.12. <survival_biasing> Element

      The <survival_biasing> element has no attributes and has an accepted value of “on” or “off”. If set to “on”, this option will enable the use of survival biasing, otherwise known as implicit capture or absorption.

      @@ -361,7 +371,7 @@ biasing, otherwise known as implicit capture or absorption.

      Default: off
      -

      3.2.12. <trace> Element

      +

      3.2.13. <trace> Element

      The <trace> element can be used to print out detailed information about a single particle during a simulation. This element should be followed by three integers: the batch number, generation number, and particle number.

      @@ -369,7 +379,7 @@ integers: the batch number, generation number, and particle number.

      Default: None
      -

      3.2.13. <uniform_fs> Element

      +

      3.2.14. <uniform_fs> Element

      The <uniform_fs> element describes a mesh that is used for re-weighting source sites at every generation based on the uniform fission site methodology described in Kelly et al., “MC21 Analysis of the Nuclear Energy Agency Monte @@ -398,7 +408,7 @@ problem. It has the following attributes/sub-elements:

      -

      3.2.14. <verbosity> Element

      +

      3.2.15. <verbosity> Element

      The <verbosity> element tells the code how much information to display to the standard output. A higher verbosity corresponds to more information being displayed. This element takes the following attributes:

      @@ -415,8 +425,19 @@ displayed. This element takes the following attributes:

      +
      +

      3.2.16. <write_state_point> Element

      +

      The <write_state_point> element is used to indicate batches at which the +user wishes to have a binary state point file written to disk. The state point +file can be used to restart a run or to get tally results at an intermediate +stage. This element has no attributes and should consist of a list of integers +corresponding to batches at which a binary state point file should be written to +disk.

      +
      +
      Default: None
      +
      -

      3.2.15. <write_source> Element

      +

      3.2.17. <write_source> Element

      The <write_source> element has no attributes and has an accepted value of “on” or “off”. If set to “on”, a binary source file will be written to disk at the end of the run that can be used as a starting source for another run.

      @@ -579,9 +600,9 @@ bounding surfaces would be given as “-3 5”.

      rotation:

      If the cell is filled with a universe, this element specifies the angles in degrees about the x, y, and z axes that the filled universe should be -rotated. Should be given as three real numbers.For example, if you wanted to -rotate the filled universe by 90 degrees about the z-axis, the cell element -would look something like:

      +rotated. Should be given as three real numbers. For example, if you wanted +to rotate the filled universe by 90 degrees about the z-axis, the cell +element would look something like:

      <cell fill="..." rotation="0 0 90" />
      @@ -730,15 +751,30 @@ post-collision energy, and an arbitrary structured mesh.

      -label:This is an optional sub-element specifying the name of this tally to be used +label:

      This is an optional sub-element specifying the name of this tally to be used for output purposes. This string is limited to 52 characters for formatting -purposes. +purposes.

      + -filters:A list of filters to specify what region of phase space should contribute to -the tally. See below for full details on what filters are available. +filters:

      A list of filters to specify what region of phase space should contribute to +the tally. See below for full details on what filters are available.

      + -scores:The desired responses to be accumulated. See below for full details on what -responses can be tallied. +nuclides:

      If specified, the scores listed will be for particular nuclides, not the +summation of reactions from all nuclides. The format for nuclides should be +[Atomic symbol]-[Mass number], e.g. “U-235”. The reaction rate for all +nuclides can be obtained with “total”. For example, to obtain the reaction +rates for U-235, Pu-239, and all nuclides in a material, this element should +be:

      +
      <nuclides>U-235 Pu-239 total</nuclides>
+
      +
      +

      Default: total

      + + +scores:

      The desired responses to be accumulated. See below for full details on what +responses can be tallied.

      +