Numerical study of pseudospectral methods in shock wave applications
type: Item
instance of: scholarly article
title: Numerical study of pseudospectral methods in shock wave applications
zbMATH Open document ID: 0797.76068
published in: Journal of Computational Physics
publication date: 1994-03-17T00:00:00Z
review text: The paper investigates shock capturing spectral methods to simulate compressible flows in the presence of shock waves. The applications are found in the study of turbulence in high speed flow and in the design of supersonic jet in aerodynamics. In the later case, the paper deals with two-dimensional shock-vortex interactions. The numerical methods are based on Chebyshev and Fourier collocation. The Euler equations of gas dynamics are discretized by pseudospectral (collocation) methods in space and by a nonlinearly stable third-order Runge-Kutta method in time. The methods are stabilized by introducing grid transformation and filtering into the spectral scheme. The numerical results indicate that the spectral method is well suited not only for smooth problems, but also for those with a discontinuity.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 516888
zbMATH Keywords: shock capturing
zbMATH Keywords: compressible flows
zbMATH Keywords: turbulence
zbMATH Keywords: supersonic jet
zbMATH Keywords: shock- vortex interactions
zbMATH Keywords: third-order Runge-Kutta method
zbMATH Keywords: grid transformation
zbMATH Keywords: filtering
author: Wai Sun Don
reviewed by: Wilhelm Heinrichs
MaRDI profile type: Publication
full work available at URL: jcph.1994.1008
OpenAlex ID: W2093745318
DOI: 10.1006/JCPH.1994.1008
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description: scientific article; zbMATH DE number 516888