On the Application of a Krylov Subspace Spectral Method to Poroacoustic Shocks In Inhomogeneous Gases
Mathematics and Natural Sciences
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.
Numerical Methods for Partial Differential Equations
(2021). On the Application of a Krylov Subspace Spectral Method to Poroacoustic Shocks In Inhomogeneous Gases. Numerical Methods for Partial Differential Equations, 37(6), 2955-2972.
Available at: https://aquila.usm.edu/fac_pubs/19291