An iterative KP1 method for solving the transport equation in 3D domains on unstructured grids

Kokonkov N. I.; Nikolaeva O. V.

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An iterative KP1 method for solving the transport equation in 3D domains on unstructured grids

机译：求解非结构化网格上3D区域输运方程的迭代KP1方法

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摘要

A two-step iterative KP1 method for solving systems of grid equations that approximate the integro-differential transport equation in 3D domains on unstructured grids using nodal S-N methods is described. Results of testing the efficiency of the proposed method in solving benchmark problems of reactor protection on tetrahedral grids are presented.

机译：描述了一种两步迭代的KP1方法，用于求解使用结点S-N方法逼近非结构化网格上3D域中的积分-微分输运方程的网格方程组。提出了测试该方法解决四面体网格反应堆保护基准问题的效率的结果。

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《Computational mathematics and mathematical physics》 |2015年第10期|共15页
作者
Kokonkov N. I.; Nikolaeva O. V.;
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正文语种 eng
中图分类计算数学;
关键词
transport equation; 3D unstructured grids; iterative KP1 and DSA methods;

机译：输运方程;3D非结构化网格;迭代KP1和DSA方法;

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专利

1. An iterative KP1 method for solving the transport equation in 3D domains on unstructured grids [J] . Kokonkov N. I., Nikolaeva O. V. Computational mathematics and mathematical physics . 2015,第10期

机译：求解非结构化网格上3D区域输运方程的迭代KP1方法
2. A vector finite element time-domain method for solving Maxwell's equations on unstructured hexahedral grids [J] . Rodrigue G., White D. SIAM Journal on Scientific Computing . 2001,第3期

机译：向量有限元时域方法，用于求解非结构六面体网格上的麦克斯韦方程
3. Parallel SOR methods with a parabolic-diffusion acceleration technique for solving an unstructured-grid Poisson equation on 3D arbitrary geometries [J] . Uh Zapata M. A., Bang D. Pham Van, Nguyen K. D. International journal of computational fluid dynamics . 2016,第1a5期

机译：带有抛物线扩散加速技术的并行SOR方法在3D任意几何上求解非结构化网格Poisson方程
4. An unstructured grid-based parallel solver for time-domain Maxwell's equations [C] . Shankar, V., Rowell, . 1997

机译：基于非结构化网格的时域麦克斯韦方程的并行求解器
5. Discrete time vector finite element methods for solving Maxwell's equations on 3D unstructured grids [D] . White, Daniel Arthur 1997

机译：离散时间向量有限元方法，用于求解3D非结构化网格上的麦克斯韦方程
6. A Numerical Method for Solving the 3D Unsteady Incompressible Navier-Stokes Equations in Curvilinear Domains with Complex Immersed Boundaries [O] . Liang Ge, Fotis Sotiropoulos -1

机译：具有复杂浸入边界的曲线域中求解3D非稳态不可压缩Navier-Stokes方程的数值方法
7. Discrete time vector finite element methods for solving maxwell`s equations on 3D unstructured grids [O] . White, D. A. 1997

机译：求解三维非结构网格上maxwell方程的离散时间向量有限元方法

An iterative KP1 method for solving the transport equation in 3D domains on unstructured grids

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