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On the application of a Krylov subspace spectral method to poroacoustic shocks in inhomogeneous gases
Author(s) -
Lambers James V.,
Jordan Pedro M.
Publication year - 2021
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22797
Subject(s) - krylov subspace , mathematics , limit (mathematics) , subspace topology , shock (circulatory) , basis (linear algebra) , boundary value problem , shock wave , basis function , statistical physics , mathematical analysis , mechanics , physics , linear system , geometry , medicine
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.