Tracking discontinuities in shallow water equations and ideal magnetohydrodynamics equations via ghost fluid method
From MaRDI portal
Publication:850186
DOI10.1016/j.apnum.2005.11.006zbMath1139.76326OpenAlexW2059944651MaRDI QIDQ850186
Publication date: 15 November 2006
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2005.11.006
shallow water equationsCWENO-type central-upwind schemesGhost Fluid Methodideal magnetohydrodynamics equations
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items (7)
Tracking entropy wave in ideal MHD equations by weighted ghost fluid method ⋮ Numerical simulation for two-phase flows using hybrid scheme ⋮ Alternating direction ghost-fluid methods for solving the heat equation with interfaces ⋮ Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review ⋮ High-resolution semi-discrete Hermite central-upwind scheme for multidimensional Hamilton-Jacobi equations ⋮ An efficient ghost fluid method for compressible multifluids in Lagrangian coordinate ⋮ New high-resolution scheme for three-dimensional nonlinear hyperbolic conservation laws
Cites Work
- ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations
- An upwind differencing scheme for the equations of ideal magnetohydrodynamics
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics
- A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
- A level set approach for computing solutions to incompressible two-phase flow
- Upwind methods for hyperbolic conservation laws with source terms
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- The ghost fluid method for deflagration and detonation discontinuities
- Genuinely multidimensional upwinding for the 2D shallow water equations
- Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- CWENO-type central-upwind schemes for multidimensional Saint-Venant system of shallow water equations
- Computations of shallow water equations with high-order central-upwind schemes on triangular meshes
- A CWENO-type central-upwind scheme for ideal MHD equations
- Strong Stability-Preserving High-Order Time Discretization Methods
- A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
- Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
- Natural Continuous Extensions of Runge-Kutta Methods
- Central WENO schemes for hyperbolic systems of conservation laws
- A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
- A High-Order Godunov-Type Scheme for Shock Interactions in Ideal Magnetohydrodynamics
- Central-Upwind Schemes for the Saint-Venant System
- A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws
- Level set methods: An overview and some recent results
This page was built for publication: Tracking discontinuities in shallow water equations and ideal magnetohydrodynamics equations via ghost fluid method