On Local Nonreflecting Boundary Conditions for Time Dependent Wave Propagation

查看全文 作　　者：Marcus J. [1]GROTE;Imbo [1]SIM 机构地区：[1]Department of Mathematics,University of Basel 出　　处：《Chinese Annals of Mathematics,Series B》索引2009年第30卷第5期,共18页 摘　　要：The simulation of wave phenomena in unbounded domains generally requires an artificial boundary to truncate the unbounded exterior and limit the computation to a finite region.At the artificial boundary a boundary condition is then needed,which allows the propagating waves to exit the computational domain without spurious reflection.In 1977,Engquist and Majda proposed the first hierarchy of absorbing boundary conditions,which allows a systematic reduction of spurious reflection without moving the artificial boundary farther away from the scatterer.Their pioneering work,which initiated an entire research area,is reviewed here from a modern perspective.Recent developments such as high-order local conditions and their extension to multiple scattering are also presented.Finally,the accuracy of high-order local conditions is demonstrated through numerical experiments. 关 键 词：吸收边界条件 波的传播 时间依赖 人工边界 多重散射 高阶精度 虚假反射 反射系统