Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes

DOI10.1007/s10915-007-9162-8zbMath1220.76047OpenAlexW2153081425MaRDI QIDQ2482251

Pingwen Zhang, Hua-Zhong Tang, Guo-Xian Chen

Publication date: 16 April 2008

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-007-9162-8

zbMATH Keywords

Riemann problemshock wavebubblefinite volume approximationdouble-Mach reflectionrelaxed Jacobi-type iteration

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) Three or more component flows (76T30)

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Uses Software

• HE-E1GODF

Cites Work

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• An adaptive grid with directional control
• On the sonic point glitch
• Adaptive grid generation from harmonic maps on Riemannian manifolds
• An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• An \(r\)-adaptive finite element method based upon moving mesh PDEs
• Weighted essentially non-oscillatory schemes on triangular meshes
• A multiphase Godunov method for compressible multifluid and multiphase flows
• Multicomponent flow calculations by a consistent primitive algorithm
• BGK-based scheme for multicomponent flow calculations
• An adaptive mesh redistribution method for nonlinear Hamilton--Jacobi equations in two- and three-dimensions.
• A gas-kinetic scheme for multimaterial flows and its application in chemical reactions
• A moving mesh finite element algorithm for singular problems in two and three space dimensions
• Metric tensors for anisotropic mesh generation
• Discrete equations for physical and numerical compressible multiphase mixtures.
• Moving mesh methods with locally varying time steps
• How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach
• An iterative grid redistribution method for singular problems in multiple dimensions
• How to preserve the mass fractions positivity when computing compressible multi-component flows
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• A depletable micro-layer model for nucleate pool boiling
• A wave-propagation based volume tracking method for compressible multicomponent flow in two space dimensions
• Two-dimensional compressible multimaterial flow calculations in a unified coordinate system
• An evaluation of several differencing methods for inviscid fluid flow problems
• Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
• Moving Finite Elements. I
• Finite volume solution of the two-dimensional Euler equations on a regular triangular mesh
• An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations
• Why Nonconservative Schemes Converge to Wrong Solutions: Error Analysis
• Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
• Aγ-model BGK scheme for compressible multifluids
• Hybrid Multifluid Algorithms
• Moving Mesh Finite Element Methods for the Incompressible Navier--Stokes Equations
• The simulation of compressible multi-medium flow. I: A new methodology with test applications to 1D gas-gas and gas-water cases. II: Applications to 2D underwater shock refraction
• Moving mesh methods in multiple dimensions based on harmonic maps
• Computations of compressible multifluids.
• An efficient dynamically adaptive mesh for potentially singular solutions

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