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METHOD FOR NUMERICALLY SOLVING ADVECTION EQUATION, METHOD FOR NUMERICALLY SOLVING VLASOV EQUATION AND MAXWELL EQUATION, AND PROGRAM
METHOD FOR NUMERICALLY SOLVING ADVECTION EQUATION, METHOD FOR NUMERICALLY SOLVING VLASOV EQUATION AND MAXWELL EQUATION, AND PROGRAM
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机译：数值求解方程的方法，数值求解伏拉斯夫方程和麦克斯韦方程的方法以及程序
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摘要
PROBLEM TO BE SOLVED: To provide a highly accurate numerical solving method of an advection equation while suppressing numerical diffusion.;SOLUTION: An advection equation for determining advection of physical quantity from the physical quantity and a velocity field defined on a discretized space is solved by numerical calculation. A storage means stores the physical quantity f(x, t0) and 0-th to m-max-th moment integration amounts Mm(x, t0) of the physical quantity f(x, t0). In a space profile calculation step, a restriction condition of f(x, tn) and Mm(x, tn) is imposed to determine a space profile F(x, tn) and Gm(x, tn) of f(x, tn) and Mm(x, tn). In an advection term calculation step, physical quantities f and Mm in a middle time step by f(x, t*)=F(x-udt, tn) and Mm(x, t*)=Gm(x-udt, tn) (wherein u is an advection velocity vector). In a non-advection term addition step, a non-advection term is calculated from f(x, t*) and Mm(x, t*) and a physical quantity f(x, tn+1) and a moment integration amount Mm(x, tn+1) in the next time step are determined by using the calculated non-advection term.;COPYRIGHT: (C)2011,JPO&INPIT
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机译：解决的问题：提供一种对流方程的高精度数值求解方法，同时抑制数值扩散。解决方案：通过求解物理量和在离散空间上定义的速度场确定物理量对流的对流方程，求解数值计算。存储装置存储物理量f（x，t 0 ）和第0至第m-最大矩积分量M m （x，t 物理量f（x，t 0 ）的0 ）。在空间轮廓计算步骤中，限制条件为f（x，t n ）和M m （x，t n ）确定空间轮廓F（x，t n ）和G m （x，t n ）f（x，t n ）和M m （x，t n ）。在对流项计算步骤中，物理量f和M m 在中间时间步长为f（x，t * ）= F（x-udt，t n ）和M m （x，t * ）= G m （x-udt，t n ）（其中u是对流速度矢量）。在非对流项添加步骤中，根据f（x，t * ）和M m （x，t * < / Sub>）和物理量f（x，t n + 1 ）和力矩积分量M m （x，t n + 1 ）是使用计算出的非平流项确定的下一个步骤。; COPYRIGHT：（C）2011，JPO＆INPIT
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