On the application of a Krylov subspace spectral method to poroacoustic shocks in inhomogeneous gases

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 19, 2021
Source ID
10.1002/num.22797

Entities

People

  • James V Lambers
  • P.M. Jordan

Organizations

  • Office of Naval Research
  • United States Naval Research Laboratory
  • University of Southern Mississippi

Tags

Fields of Study

  • Physics

Readers

  • Emergency Management and Homeland Security.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Wave Propagation and Nonlinear Chaotic Dynamics.