A robust and entropy-satisfying numerical scheme for fluid flows in discontinuous nozzles

DOI10.1142/S0218202514500158zbMath1354.76116OpenAlexW2007212610MaRDI QIDQ5494822

Nicolas Seguin, Frédéric Coquel, Khaled Saleh

Publication date: 30 July 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202514500158

zbMATH Keywords

Riemann problemfinite volume schemerelaxation techniquessingular dissipation measure

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

Related Items (10)

A semi-implicit fractional step algorithm on staggered meshes for simulating a compressible two-layer mixed-flow model ⋮ Unnamed Item ⋮ A Well-Balanced Scheme for Euler Equations with Singular Sources ⋮ Well-balanced and positivity-preserving Roe-type numerical scheme for the model of fluid flows in a nozzle with variable cross-section ⋮ Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system ⋮ A well-balanced numerical scheme for a model of two-phase flows with treatment of nonconservative terms ⋮ Improvement of the hydrostatic reconstruction scheme to get fully discrete entropy inequalities ⋮ Stability of stationary solutions of singular systems of balance laws ⋮ Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography ⋮ Well-balanced path-conservative central-upwind schemes based on flux globalization

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