论文标题
波动方程的显式时间模拟分散
Explicit Time Mimetic Discretiztions Of Wave Equations
论文作者
论文摘要
本文是一个程序的一部分，旨在结合连续波方程的交错时间和交错的空间离散化，因此可以证明，使用向量计算证明的连续体的重要特性可以以类似的方式证明是离散化的系统。空间离散是二阶准确且模仿的。时间离散是第二个是准确的显式跨越方案。离散量具有保守的数量，可以保证稳定性在时间步骤上有合理的限制。保守量与连续方程的能量密切相关。
This paper is part of a program to combine a staggered time and staggered spatial discretization of continuum wave equations so that important properties of the continuum that are proved using vector calculus can be proven in an analogous way for the discretized system. The spatial discretizations are second order accurate and mimetic. The time discretizations second are order accurate explicit leapfrog schemes. The discretizations have a conserved quantity that guarantees stability for a reasonable constraint on the time step. The conserved quantities are closely related to the energy for the continuum equations.
