Multirate Explicit Adams Methods for Time Integration of Conservation Laws
Multirate Explicit Adams Methods for Time Integration of Conservation Laws
复制标题
守恒定律时间积分的多速率显式 Adams 方法
DOI：
10.1007/s10915-008-9235-3
复制
发表时间：
2009
影响因子：
2.5
通讯作者：
E. Constantinescu
中科院分区：
文献类型：
--
作者：
Adrian Sandu;E. Constantinescu
本文基于Adams-Bashforth方法构造了多速率线性多步时间离散。这些方法旨在解决守恒定律，并允许在空间域的不同部分使用不同的时间步长。所提出的离散化族在时间上是二阶精确的，并且在局部CFL条件下具有守恒性和线性和非线性稳定性。多速率时间步进避免了采取小的全局时间步长的必要性（受网格上Courant数最大值的限制），因此导致更有效的计算。平流和Burgers方程的数值结果证实了理论结果。
This paper constructs multirate linear multistep time discretizations based on Adams-Bashforth methods. These methods are aimed at solving conservation laws and allow different timesteps to be used in different parts of the spatial domain. The proposed family of discretizations is second order accurate in time and has conservation and linear and nonlinear stability properties under local CFL conditions. Multirate timestepping avoids the necessity to take small global timesteps—restricted by the largest value of the Courant number on the grid—and therefore results in more efficient computations. Numerical results obtained for the advection and Burgers’ equations confirm the theoretical findings.