A treatment of discontinuities for finite difference methods

DOI10.1016/0021-9991(92)90407-PzbMath0768.65053MaRDI QIDQ1206580

De-Kang Mao

Publication date: 1 April 1993

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

zbMATH Keywords

conservation lawsfinite difference methodnumerical experimentsEuler equationsdiscontinuity\(x-t\) version

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (11)

The total variation decreasing property of a conservative front tracking technique ⋮ A Riemann problem based method for the resolution of compressible multimaterial flows ⋮ A thermodynamically consistent and fully conservative treatment of contact discontinuities for compressible multicomponent flows ⋮ Numerical modelling of a nonplanar strike slip fault and associated stress distribution in lithosphere asthenosphere system ⋮ Towards front-tracking based on conservation in two space dimensions. II: Tracking discontinuities in capturing fashion ⋮ A level-set algorithm for tracking discontinuities in hyperbolic conservation laws. I: Scalar equations ⋮ Further development of a conservative front-tracking method for systems of conservation laws in one space dimension ⋮ A treatment of discontinuities for nonlinear systems with linearly degenerate fields ⋮ Treatment of interface problems with Godunov-type schemes ⋮ A mathematical model for analyzing the ground deformation due to a creeping movement across a strike slip fault ⋮ A front tracking method on unstructured grids.

Cites Work

• Unnamed Item
• A treatment of discontinuities in shock-capturing finite difference methods
• A mathematical introduction to fluid mechanics
• ENO schemes with subcell resolution
• Front tracking for gas dynamics
• AZTEC: A front tracking code based on Godunov's method
• Front tracking and two-dimensional Riemann problems
• On Front-Tracking Methods Applied to Hyperbolic Systems of Nonlinear Conservation Laws
• TVB Uniformly High-Order Schemes for Conservation Laws

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