Treatment of interface problems with Godunov-type schemes

DOI10.1007/BF02434010zbMath0859.76044MaRDI QIDQ1815764

J. C. Loraud, Richard Saurel, Jean-Pierre Cocchi

Publication date: 18 November 1996

Published in: Shock Waves (Search for Journal in Brave)

zbMATH Keywords

correction methodRiemann problemgas-liquid interface

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20)

Related Items

Computational modelling of multi-material energetic materials and systems, A high resolution upwind scheme for multi-component flows, A new limiting procedure for discontinuous Galerkin methods applied to compressible multiphase flows with shocks and interfaces, A numerical study of weak shock wave propagation in a reactive bubbly liquid, A thermodynamically consistent and fully conservative treatment of contact discontinuities for compressible multicomponent flows, Direct numerical simulation of compressible interfacial multiphase flows using a mass-momentum-energy consistent volume-of-fluid method, A finite-volume HLLC-based scheme for compressible interfacial flows with surface tension, An efficient hp-adaptive strategy for a level-set ghost-fluid method, Pressure-based algorithm for compressible interfacial flows with acoustically-conservative interface discretisation, MFC: an open-source high-order multi-component, multi-phase, and multi-scale compressible flow solver, On the discrete equation model for compressible multiphase fluid flows, Sharp interface simulations with local mesh refinement for multi-material dynamics in strongly shocked flows, Numerical simulations of non-spherical bubble collapse, Particle regeneration technique for smoothed particle hydrodynamics in simulation of compressible multiphase flows, A free-Lagrange augmented Godunov method for the simulation of elastic-plastic solids., Finite-volume WENO scheme for viscous compressible multicomponent flows, Boundary conditions for simulations of oscillating bubbles using the non-linear acoustic approximation, CWENO finite-volume interface capturing schemes for multicomponent flows using unstructured meshes, High-order finite difference scheme for compressible multi-component flow computations, Numerical simulation of a single bubble by compressible two-phase fluids, Numerical simulation of compressible multiphase hydrodynamic problems using reduced five-equation model on body-fitted grids, An efficient shock-capturing algorithm for compressible multicomponent problems, A sharp interface method for high-speed multi-material flows: strong shocks and arbitrary materialpairs

Cites Work

• Unnamed Item
• Unnamed Item
• A treatment of discontinuities in shock-capturing finite difference methods
• Front tracking for gas dynamics
• Efficient solution algorithms for the Riemann problem for real gases
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Glimm's method applied to underwater explosions
• A treatment of discontinuities for finite difference methods
• Flux-corrected transport. II: Generalizations of the method
• Random choice solution of hyperbolic systems
• Multicomponent flow calculations by a consistent primitive algorithm
• Exact and approximate Riemann solvers for real gases
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Convergence of Generalized MUSCL Schemes
• Shockless acceleration of thin plates modeled by a tracked random choice method
• Solutions in the large for nonlinear hyperbolic systems of equations
• A Method for the Numerical Calculation of Hydrodynamic Shocks