Title

On the Application of a Krylov Subspace Spectral Method to Poroacoustic Shocks In Inhomogeneous Gases

Document Type

Article

Publication Date

11-1-2021

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Poroacoustic shocks in inhomogeneous gases are numerically simulated using Krylov subspace spectral (KSS) methods; specifically, existing KSS methods are modified to use basis functions tailored to the assumed density profile of the gas, and to handle the nonhomogeneous boundary condition used to insert the shock-inducing signal. The simulations presented demonstrate that KSS methods are effective at capturing the features of the solution, consistent with theoretical expectations, even when using a time step that greatly exceeds the CFL limit.

Publication Title

Numerical Methods for Partial Differential Equations

Volume

37

Issue

6

First Page

2955

Last Page

2972

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