A wave propagation method for three-dimensional hyperbolic conservation laws

DOI10.1006/jcph.2000.6606zbMath0967.65095OpenAlexW1975276805MaRDI QIDQ5926781

Randall J. LeVeque, Jan Olav Langseth

Publication date: 21 August 2001

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

Full work available at URL: http://hdl.handle.net/1773/2117

zbMATH Keywords

stability conservation laws wave propagation hyperbolic systems Euler equation finite volume methods high resolution Riemann problems

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

A wave propagation algorithm for hyperbolic systems on curved manifolds, Surrogate-based parameter inference in debris flow model, A fluid-mixture type algorithm for barotropic two-fluid flow problems, Higher order finite volume central schemes for multi-dimensional hyperbolic problems, A characteristic-based shock-capturing scheme for hyperbolic problems, Unsteady compressible flow computations using an adaptive multiresolution technique coupled with a high-order one-step shock-capturing scheme, Multi-dimensional finite volume scheme for the vorticity transport equations, A characteristics based genuinely multidimensional discrete kinetic scheme for the Euler equations, Isotropic finite volume discretization, A Cell-Centered ALE Method with HLLC-2D Riemann Solver In 2D Cylindrical Geometry, A central-constrained transport scheme for ideal magnetohydrodynamics, Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere, A third-order accurate wave propagation algorithm for hyperbolic partial differential equations, A high-resolution mapped grid algorithm for compressible multiphase flow problems, Multiresolution analysis as a criterion for effective dynamic mesh adaptation -- a case study for Euler equations in the SAMR framework AMROC, Geometric conservation law and applications to high-order finite difference schemes with stationary grids, Towards unification of the vorticity confinement and shock capturing (TVD and ENO/WENO) methods, A class of high-resolution algorithms for incompressible flows, An Essentially Non-Oscillatory Spectral Deferred Correction Method for Conservation Laws, Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK., A volume-fraction based algorithm for hybrid barotropic and non-barotropic two-fluid flow problems, Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods, Derivation and analysis of lattice Boltzmann schemes for the linearized Euler equations, A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids, Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws, Residual distribution for general time-dependent conservation laws, An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations, A new interface method for hyperbolic problems with discontinuous coefficients: One-dimensional acoustic example, A wave-propagation based volume tracking method for compressible multicomponent flow in two space dimensions, A wave propagation method for hyperbolic systems on the sphere, A new conservative unsplit method for the solution of the Vlasov equation, Optimally-stable second-order accurate difference schemes for nonlinear conservation laws in 3D, Adaptive mesh refinement for conservative systems: multi-dimensional efficiency evaluation, Two-dimensional central-upwind schemes for curvilinear grids and application to gas dynamics with angular momentum, An unsplit Godunov method for ideal MHD via constrained transport, A fluid-mixture type algorithm for compressible multicomponent flow with Mie-Grüneisen equation of state, A HIGH-RESOLUTION SPACE–TIME CONSERVATIVE METHOD FOR NON-LINEAR HYPERBOLIC CONSERVATION LAWS, P¹-conservative solution interpolation on unstructured triangular meshes, Numerical investigation of a viscous regularization of the Euler equations by entropy viscosity, Three-Dimensional Mapped-Grid Finite Volume Modeling of Poroelastic-Fluid Wave Propagation, Tsunami modelling with adaptively refined finite volume methods, An unconditionally stable method for the Euler equations, An efficient shock-capturing algorithm for compressible multicomponent problems, Optimized Runge-Kutta methods with automatic step size control for compressible computational fluid dynamics

Uses Software

Cites Work