Mixed-element-volume MUSCL methods with weak viscosity for steady and unsteady flow calculations

DOI10.1016/S0045-7930(98)00059-0zbMath0949.76052OpenAlexW2080153869MaRDI QIDQ1818737

Christophe Debiez, Alain Dervieux

Publication date: 15 February 2000

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7930(98)00059-0

zbMATH Keywords

weak dissipationupwind finite volume schemesnumerical spurious diffusionsecond-order accurate schemessixth-order viscosityvortex-acoustic coupling in rocket chamber

Mathematics Subject Classification ID

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

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Uses Software

• HLLE

Cites Work

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• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• A class of implicit upwind schemes for Euler simulations with unstructured meshes
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Review of preconditioning methods for fluid dynamics
• An essentially non-oscillatory reconstruction procedure on finite-element type meshes: Application to compressible flows
• Variational analysis of a mixed element/volume scheme with fourth-order viscosity on general triangulations
• Construction of TVD-like artificial viscosities on two-dimensional arbitrary FEM grids
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• TVD algorithms for the solution of the compressible Euler equations on unstructured meshes
• Accurate Upwind Methods for the Euler Equations

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