Parallelization methods on multiprocessor systems with distributed memory of algorithms for solving the radiation transfer equation in the Raduga program

Authors

  • O.V. Nikolayeva
  • L.P. Bass
  • V.S. Kuznetsov

Keywords:

transport equation
spatial subdomain method
parallelization
parallel algorithms

Abstract

Algorithms for parallelizing computations are considered, which are used in the Raduga-5.2 (P) program when solving the transport equation of neutral particles in 1D-, 2D- and 3D-domains by the method of discrete ordinates on multiprocessor systems with distributed memory. The results of testing the effectiveness of algorithms in time and memory are presented on the example of a real problem of radiation protection. This work was financially supported by Program No. 3 for Basic Research of the Department of Mathematical Sciences of the Russian Academy of Sciences. The article was prepared based on the materials of the authors' report at the international conference "Parallel Computing Technologies" (PaVT-2009; http://agora.guru.ru/pavt).


Published

2020-11-05

Issue

Section

Section 1. Numerical methods and applications

Author Biographies

O.V. Nikolayeva

L.P. Bass

V.S. Kuznetsov


References

  1. Басс Л.П., Гермогенова Т.А., Николаева О.В., Кузнецов В.С. Радуга-5.1 и Радуга-5.1(П) — программы для решения стационарного уравнения переноса в ‘2-х и 3-х мерных геометриях на одно- и многопроцессорных ЭВМ // Тр. семинара “Нейтроника-2001: алгоритмы и программы для нейтронно-физических расчетов ядерных реакторов”, Обнинск, 30 октября-2 ноября 2001 (http://neutronica.ru/doc/2005/Neutr_01.гаг).
  2. Марчук Г.И., Лебедев В.И. Численные методы в теории переноса нейтронов. М.: Атомиздат, 1981.
  3. Басс Л.П., Волощенко А.М., Гермогенова Т.А. Методы дискретных ординат в задачах о переносе излучения. М.: ИПМ им. М.В. Келдыша РАН, 1986.
  4. Mobley C.D., Sundman L.K., Boss E. Phase function effects on oceanic light fields // Applied Optics. 2002. 41, N 6. 1035-1050.