Nonreflecting Difference Conditions on the Moving and Shape Varying Boundary of the Computational Domain

Abstract

There is a wide class of unsteady initial boundary-value problems formulated either on the entire Euclidean space R or a large domain D (with boundary conditions), for which the solution u(t, x) needs to be known only on a bounded subdomain of the original domain. Without much loss of generality, we additionally assume that the governing differential equations outside this computational subdomain, as well as boundary conditions at infinity or distant physical boundary, are linear and homogeneous.