A multislope MUSCL method on unstructured meshes applied to compressible Euler equations for axisymmetric swirling flows

DOI10.1016/j.jcp.2010.03.004zbMath1346.76078OpenAlexW2057485923MaRDI QIDQ982954

David Rochette, Stéphane Clain, Rachid Touzani

Publication date: 28 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.03.004

zbMATH Keywords

unstructured meshfinite volumesMUSCL methodswirling flowaxisymmetric compressible Euler equations

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items

Comparisons of some difference forms for compressible flow in cylindrical geometry on arbitrary Lagrangian and Eulerian framework ⋮ Multislope MUSCL method applied to solve shallow water equations ⋮ Unsteady compressible flow in ducts with varying cross-section: comparison between the nonconservative Euler system and the axisymmetric flow model ⋮ A high-resolution scheme for axisymmetric hydrodynamics based on the 2D GRP solvers ⋮ A hybridizable discontinuous Galerkin formulation for the Euler-Maxwell plasma model ⋮ Node-pair finite volume/finite element schemes for the Euler equation in cylindrical and spherical coordinates ⋮ An Eulerian finite volume solver for multi-material fluid flows with cylindrical symmetry

Uses Software

• HE-E1GODF
• OFELI

Cites Work

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• Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids
• Supersonic, turbulent flow computation and drag optimization for axisymmetric afterbodies
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Computation of strongly swirling axisymmetric free jets
• Modified Multidimensional Dissipation Scheme on Unstructured Meshes for High-speed Compressible Flow Analysis
• A finite element method for the axisymmetric flow computation in a turbomachine
• On the Choice of Wavespeeds for the HLLC Riemann Solver
• Numerical instabilities in upwind methods: Analysis and cures for the ``carbuncle phenomenon
• Numerical simulation of equilibrium induction plasma flows in a cylindrical plasmatron channel

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