Rankine-Hugoniot-Riemann solver considering source terms and multidimensional effects

DOI10.1006/jcph.1998.6037zbMath0926.76079OpenAlexW2052002857MaRDI QIDQ1268360

Bernhard Müller, Patrick Jenny

Publication date: 5 December 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.6037

zbMATH Keywords

Rankine-Hugoniot conditionsviscous termsacoustic oscillations flatteningBunsen flamecell interfaceslinearized Riemann solversteady premixed laminar flamessteady two-dimensional channel flow with injection

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Reaction effects in flows (76V05)

Related Items (16)

WENO schemes for balance laws with spatially varying flux ⋮ A WELL-BALANCED SCHEME USING NON-CONSERVATIVE PRODUCTS DESIGNED FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH SOURCE TERMS ⋮ Rankine-Hugoniot-Riemann solver for steady multidimensional conservation laws with source terms ⋮ Numerical integration techniques for discontinuous manufactured solutions ⋮ Well balanced finite volume methods for nearly hydrostatic flows ⋮ Convergence acceleration for computing steady-state compressible flow at low Mach numbers ⋮ Flux difference splitting and the balancing of source terms and flux gradients ⋮ ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations ⋮ A class of approximate Riemann solvers and their relation to relaxation schemes ⋮ Construction of second-order TVD schemes for nonhomogeneous hyperbolic conservation laws ⋮ Conservative discretization of Coriolis force in a finite volume framework ⋮ Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws ⋮ Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm ⋮ A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms ⋮ FRONT TRACKING FOR SCALAR BALANCE EQUATIONS ⋮ A well-balanced gas-kinetic scheme for the shallow-water equations with source terms

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• A contribution to the great Riemann solver debate
• Thermoacoustic oscillations in combustion chambers of gas turbines

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