A Numerical Scheme for Three-Dimensional Front Propagation and Control of Jordan Mode

DOI10.1137/100802177zbMath1260.65080OpenAlexW2027866955MaRDI QIDQ2904835

K. R. Arun

Publication date: 23 August 2012

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0c47b6238187292503b484ddd682ea8c79a94689

zbMATH Keywords

Cauchy problemnumerical experimentsmean curvaturepolytropic gasray theoryweakly hyperbolic systemhigh resolution central schemeRunge-Kutta time discretizationsmonotone upwind schemesgeometric solenoidal constraintJordan modekinematical conversation lawsnonlinear wavefrontthree-dimensional front propagation

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Degenerate hyperbolic equations (35L80) Propagation of singularities; initial value problems on manifolds (58J47) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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