MUSTA: a multi-stage numerical flux

DOI10.1016/j.apnum.2006.03.022zbMath1101.65088OpenAlexW2095063961MaRDI QIDQ2507736

Eleuterio F. Toro

Publication date: 5 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.03.022

zbMATH Keywords

numerical resultsconservation lawsEuler equationsRiemann problemhyperbolic equationsupwindingGodunov's methodtotal variation diminishingmulti-stage predictor-corrector fluxesnew upwind flux

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (9)

A MUSTA-FORCE algorithm for solving partial differential equations of relativistic hydrodynamics ⋮ Conservative models and numerical methods for compressible two-phase flow ⋮ A Hybrid Riemann Solver for Large Hyperbolic Systems of Conservation Laws ⋮ Modeling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes ⋮ An exponential time-differencing method for monotonic relaxation systems ⋮ A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function ⋮ A computational approach to flame hole dynamics using an embedded manifold approach ⋮ MUSTA-type upwind fluxes for non-linear elasticity ⋮ Monotonization of flux, entropy and numerical schemes for conservation laws

Uses Software

• MUSTA

Cites Work

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