Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK.

DOI10.1016/S0898-1221(03)80019-6zbMath1035.65094OpenAlexW2125402679MaRDI QIDQ1416388

D. Massart

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)80019-6

zbMATH Keywords

numerical exampleswave-propagation methodFinite-volume methodsHyperbolic conservation lawsshock-tube problemInterface problemsCLAWPACK software packageMoving-mesh methods

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (16)

Adaptive numerical simulation of traffic flow density ⋮ Well-balanced high order 1D schemes on non-uniform grids and entropy residuals ⋮ Computation of fluid flows in non-inertial contracting, expanding, and rotating reference frames ⋮ An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics ⋮ A mesh adaptation algorithm using new monitor and estimator function for discontinuous and layered solution ⋮ An efficient adaptive mesh redistribution method for a nonlinear Dirac equation ⋮ The Riemann problem for isentropic compressible Euler equations with discontinuous flux ⋮ Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension ⋮ An algorithm for the strong-coupling of the fluid-structure interaction using a staggered approach ⋮ The moving mesh semi-Lagrangian MMSISL method ⋮ Mixed systems: ODEs-balance laws ⋮ Mesh redistribution strategies and finite element schemes for hyperbolic conservation laws ⋮ Multidimensional upstream weighting for multiphase transport in porous media ⋮ Adaptive stiff solvers at low accuracy and complexity ⋮ Adaptive finite-volume WENO schemes on dynamically redistributed grids for compressible Euler equations ⋮ Discontinuity-driven mesh alignment for evolving discontinuities in elastic solids

Uses Software

• CLAWPACK
• NKA

Cites Work

• Wave propagation algorithms for multidimensional hyperbolic systems
• Moving mesh methods with upwinding schemes for time-dependent PDEs
• An implicit difference scheme for a moving boundary hyperbolic problem
• Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
• Simple adaptive grids for 1-D initial value problems
• A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
• Flux-corrected transport in a moving grid
• Moving mesh methods based on moving mesh partial differential equations
• Correction of conservative Euler solvers for gas mixtures
• A Moving Mesh Method for One-dimensional Hyperbolic Conservation Laws
• Moving Mesh Techniques Based upon Equidistribution, and Their Stability
• Design and Application of a Gradient-Weighted Moving Finite Element Code I: in One Dimension
• Multiple‐scale Homogenization for Weakly Nonlinear Conservation Laws with Rapid Spatial Fluctuations
• Hybrid Multifluid Algorithms
• A wave propagation method for three-dimensional hyperbolic conservation laws

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