An implicit-explicit hybrid method for Lagrangian hydrodynamics

DOI10.1016/0021-9991(86)90195-6zbMath0596.76078OpenAlexW2163430090MaRDI QIDQ1079069

Bruce A. Fryxell, Phillip Colella, Karl-Heinz A. Winkler, Paul R. Woodward

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90195-6

zbMATH Keywords

high resolutionLagrangian hydrodynamicsGodunov-type methodsexplicit second-order piecewise-parabolic methodimplicit-explicit hybrid methodnonlinear Riemann solvershocks spread

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Basic methods in fluid mechanics (76M99)

Related Items

The barely implicit correction algorithm for low-Mach-number flows, An adaptive SPH method for strong shocks, Interface- and discontinuity-aware numerical schemes for plasma 3-T radiation diffusion in two and three dimensions, A second-order unsplit Godunov scheme for two- and three-dimensional Euler equations, Numerical simulations for nonlinear heat transfer in a system of multimaterials, Implicit discretization of Lagrangian gas dynamics, Multidimensional upwind methods for hyperbolic conservation laws, A coupled implicit-explicit time integration method for compressible unsteady flows, Numerical simulations for radiation hydrodynamics. II: Transport limit, Implicit flux limiting schemes for petroleum reservoir simulation, Boundary condition treatment in 2×2 systems of propagation equations, An unconditionally stable, explicit Godunov scheme for systems of conservation laws, The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws, Second-order accurate interface- and discontinuity-aware diffusion solvers in two and three dimensions, A barely implicit correction for flux-corrected transport, A variable explicit/implicit numerical method for calculating advection on unstructured meshes, Numerical simulations for radiation hydrodynamics. I: Diffusion limit, The time-line interpolation method for large-time-step Godunov-type schemes

Cites Work

• The piecewise parabolic method (PPM) for gas-dynamical simulations
• The numerical simulation of two-dimensional fluid flow with strong shocks
• On a fourth order accurate implicit finite difference scheme for hyperbolic conservation laws. II: Five-point schemes
• Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• A detached shock calculation by second-order finite differences
• On the formulation and analysis of numerical methods for time dependent transport equations