Pseudo characteristic method of lines solution of the conservation equations

DOI10.1016/0021-9991(80)90034-0zbMath0428.65053OpenAlexW2093673933MaRDI QIDQ1137362

M. B. Carver

Publication date: 1980

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(80)90034-0

zbMATH Keywords

method of linesshock wavesmethod of characteristicsBurger's equationcompressible fluid flowconservation equationscounter current heat exchangerpseudo characteristic method of lines

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Partial differential equations of mathematical physics and other areas of application (35Q99) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Supersonic flows (76J20)

Related Items (2)

A flux splitting method for the numerical simulation of one-dimensional compressible flow ⋮ A critical study of numerical methods for the solution of nonlinear hyperbolic equations for resonance systems

Uses Software

• GEAR

Cites Work

• Unnamed Item
• An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
• A stable difference scheme for the solution of hyperbolic equations using the method of lines
• A locally two-dimensional numerical method for calculating three- dimensional supersonic flows
• Nonlinear partial differential equations in engineering. Vol. II
• The method of lines and the advective equation
• Systems of conservation laws
• On the solution of nonlinear hyperbolic differential equations by finite differences

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