Vorticity-Preserving Lax--Wendroff-Type Schemes for the System Wave Equation
From MaRDI portal
Publication:2719275
DOI10.1137/S106482759935914XzbMath0994.35011OpenAlexW2086609521MaRDI QIDQ2719275
Publication date: 21 June 2001
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s106482759935914x
Finite volume methods applied to problems in fluid mechanics (76M12) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Wave equation (35L05) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
Truly multi-dimensional all-speed schemes for the Euler equations on Cartesian grids, Analysis and higher-order extension of the VC2 confinement scheme, A Numerical Glimpse at Some Non-standard Solutions to Compressible Euler Equations, Vorticity-preserving schemes for the compressible Euler equations, Exact solution and the multidimensional Godunov scheme for the acoustic equations, Development and analysis of high-order vorticity confinement schemes, Multi-dimensional finite volume scheme for the vorticity transport equations, On curl-preserving finite volume discretizations for shallow water equations, My way: a computational autobiography, Chebyshev-like generalized Shapiro filters for high-accuracy flow computations, Stationarity preservation properties of the active flux scheme on Cartesian grids, All-speed numerical methods for the Euler equations via a sequential explicit time integration, Artificial viscosity in Godunov-type schemes to cure the carbuncle phenomenon, Small collaboration: Modeling phenomena from nature by hyperbolic partial differential equations. Abstracts from the small collaboration held April 11--17, 2021 (hybrid meeting), The active flux scheme for nonlinear problems, Stationarity preserving schemes for multi-dimensional linear systems, Computational fluid dynamics—retrospective and prospective, Divergence- and curl-preserving prolongation and restriction formulas, Stability of a Kirchhoff-Roe scheme for two-dimensional linearized Euler systems, A High-Resolution Cell-Centered Lagrangian Method with a Vorticity-Based Adaptive Nodal Solver for Two-Dimensional Compressible Euler Equations, A mass, energy, vorticity, and potential enstrophy conserving lateral boundary scheme for the shallow water equations using piecewise linear boundary approximations, An evolution Galerkin scheme for the shallow water magnetohydrodynamic equations in two space dimensions, On spurious vortical structures., Designing CFD methods for bandwidth -- a physical approach, A mass, energy, vorticity, and potential enstrophy conserving lateral fluid-land boundary scheme for the shallow water equations, Finite volume evolution Galerkin method for hyperbolic conservation laws with spatially varying flux functions, Stability analysis and error estimates of an exactly divergence-free method for the magnetic induction equations, The active flux scheme on Cartesian grids and its low Mach number limit, Evolution Galerkin methods for hyperbolic systems in two space dimensions, Finite volume evolution Galerkin methods for nonlinear hyperbolic systems.
