The space-time CESE method for solving special relativistic hydrodynamic equations
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Publication:419692
DOI10.1016/J.JCP.2012.01.039zbMath1426.76555OpenAlexW2094457695MaRDI QIDQ419692
Publication date: 18 May 2012
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2012.01.039
conservation lawshyperbolic systemsdiscontinuous solutionsspacespecial relativistic hydrodynamicstime CESE method
Related Items (7)
High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics ⋮ Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics ⋮ A splitting scheme based on the space-time CE/SE method for solving multi-dimensional hydrodynamical models of semiconductor devices ⋮ A discrete method based on the CE-SE formulation for the fractional advection-dispersion equation ⋮ Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics ⋮ A space time conservation element and solution element method for solving two-species chemotaxis model ⋮ Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes
Uses Software
Cites Work
- Non-oscillatory central differencing for hyperbolic conservation laws
- On the application of a variant CE/SE method for solving two-dimensional ideal MHD equations
- New algorithms for ultra-relativistic numerical hydrodynamics
- A kinetic beam scheme for relativistic gas dynamics
- Kinetic schemes for the relativistic gas dynamics
- Kinetic schemes for the ultra-relativistic Euler equations.
- The method of space-time conservation element and solution element -- a new approach for solving the Navier-Stokes and Euler equations
- Extension of the piecewise parabolic method to one-dimensional relativistic hydrodynamics
- Capturing shock reflections: An improved flux formula
- The space-time conservation element and solution element method: A new high-resolution and genuinely multidimensional paradigm for solving conservation laws
- Application of space-time CE/SE method to shallow water magnetohydrodynamic equations
- A HIGH ORDER KINETIC FLUX-SPLITTING METHOD FOR THE SPECIAL RELATIVISTIC HYDRODYNAMICS
- Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
- A BGK-Type Flux-Vector Splitting Scheme for the Ultrarelativistic Euler Equations
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows
- Investigation of a ‘transonic resonance’ with convergent–divergent nozzles
- Numerical hydrodynamics in special relativity
- Application of the space-time conservation element and solution element method to one-dimensional convection-diffusion problems
- A space-time conservation element and solution element method for solving the two- and three-dimensional unsteady Euler equations using quadilateral and hexahedral meshes.
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