Domain decomposition with both spectral and finite difference methods for the accurate computation of flows with shocks

DOI10.1016/0168-9274(89)90059-7zbMath0678.76059OpenAlexW1995436354MaRDI QIDQ1124465

David A. Kopriva

Publication date: 1989

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(89)90059-7

zbMATH Keywords

Chebyshev collocation methodupwind finite difference methoddomain decomposition techniqueinviscid gasquasi-one-dimensional nozzlesteady shocked flow

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Basic methods in fluid mechanics (76M99)

Related Items (4)

An unstructured, three-dimensional, shock-fitting solver for hypersonic flows ⋮ Unnamed Item ⋮ Shallow water theory and its application to the Venice lagoon ⋮ Domain decomposition and parallel processing of a finite element model of the shallow water equations

Uses Software

• HLLE

Cites Work

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• A spectral multidomain method for the solution of hyperbolic systems
• A conservative treatment of zonal boundaries for Euler equation calculations
• A practical assessment of spectral accuracy for hyperbolic problems with discontinuities
• Computation of Hyperbolic Equations on Complicated Domains with Patched and Overset Chebyshev Grids
• Spectral methods for the Euler equations. I - Fourier methods and shock capturing
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Spectral methods for the Euler equations. II - Chebyshev methods andshock fitting

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