An adaptive mesh-moving and refinement procedure for one-dimensional conservation laws

DOI10.1016/0168-9274(93)90010-OzbMath0781.65074MaRDI QIDQ1208528

David C. Arney, Joseph E. Flaherty, Rupak Biswas

Publication date: 16 May 1993

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

conservation lawshyperbolic systemstransport equationsgas dynamicslocal mesh refinementmoving adaptive grid

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (8)

Space-Time Domain Decomposition Methods for Scalar Conservation Law ⋮ Repeated Richardson extrapolation applied to the two-dimensional Laplace equation using triangular and square grids ⋮ Solving convection and convection-reaction problems using the method of lines ⋮ A moving collocation method for solving time dependent partial differential equations ⋮ A note on the effect of artificial viscosity on solutions of conservation laws ⋮ Finite element modelling of geophysical electromagnetic data with goal-oriented \(hr\)-adaptivity ⋮ A study of moving mesh methods applied to a thin flame propagating in a detonator delay element ⋮ Parallel computation with adaptive methods for elliptic and hyperbolic systems

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