A front tracking method for conservation laws in one dimension

DOI10.1016/0021-9991(92)90047-3zbMath0756.65120OpenAlexW1991223352MaRDI QIDQ1201080

Aslak Tveito, Nils Henrik Risebro

Publication date: 17 January 1993

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

Full work available at URL: http://hdl.handle.net/10852/43628

zbMATH Keywords

conservation lawsEuler equationsgas dynamicsfront tracking technique

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (16)

A new front tracking scheme for the ultra-relativistic Euler equations ⋮ A characteristic based numerical method with tracking for nonlinear wave equations ⋮ Numerical investigation of the wave-front tracking algorithm for the full ultra-relativistic Euler equations ⋮ An improved front tracking method for the Euler equations ⋮ A method for multidimensional wave propagation analysis via component-wise partition of longitudinal and shear waves ⋮ Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior ⋮ Unconditionally stable methods for Hamilton-Jacobi equations ⋮ Second order front tracking for the Euler equations ⋮ Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies ⋮ An analysis of front tracking for chromatography ⋮ Parametric interpolation framework for scalar conservation laws ⋮ An unconditionally stable method for the Euler equations ⋮ FRONT TRACKING FOR SCALAR BALANCE EQUATIONS ⋮ Discontinuity-driven mesh alignment for evolving discontinuities in elastic solids ⋮ A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units ⋮ Global solutions for the ultra-relativistic Euler equations

Cites Work

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• A Riemann Solver for a Two-Phase Multicomponent Process
• Solutions in the large for nonlinear hyperbolic systems of equations

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