Unstaggered central schemes with constrained transport treatment for ideal and shallow water magnetohydrodynamics
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Publication:979215
DOI10.1016/j.apnum.2010.02.006zbMath1425.76194OpenAlexW2072964227MaRDI QIDQ979215
Publication date: 25 June 2010
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2010.02.006
finite volume methodsconstrained transportunstaggered central schemesideal and shallow water magnetohydrodynamics
Finite volume methods applied to problems in fluid mechanics (76M12) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items (11)
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term ⋮ Central finite volume schemes on nonuniform grids and applications ⋮ Well-balanced central schemes for pollutants transport in shallow water equations ⋮ Well-balanced central schemes for the one and two-dimensional Euler systems with gravity ⋮ A modified high-resolution non-staggered central scheme with adjustable numerical dissipation ⋮ A new S-M limiter entropy stable scheme based on moving mesh method for ideal MHD and SWMHD equations ⋮ Non-oscillatory central schemes on unstructured grids for two-dimensional hyperbolic conservation laws ⋮ Unnamed Item ⋮ Well-balanced central schemes for systems of shallow water equations with wet and dry states ⋮ Well-balanced central schemes for two-dimensional systems of shallow water equations with wet and dry states ⋮ Symmetries and conservation laws of the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates
Cites Work
- Unnamed Item
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- A central-constrained transport scheme for ideal magnetohydrodynamics
- Non-oscillatory central schemes for one- and two-dimensional MHD equations. I
- Non-oscillatory central differencing for hyperbolic conservation laws
- An upwind differencing scheme for the equations of ideal magnetohydrodynamics
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- A simple finite difference scheme for multidimensional magnetohydrodynamical equations
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Central finite volume methods with constrained transport divergence treatment for ideal MHD
- An evolution Galerkin scheme for the shallow water magnetohydrodynamic equations in two space dimensions
- Shock-capturing approach and nonevolutionary solutions in magnetohydrodynamics
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Central finite volume schemes with constrained transport divergence treatment for three-dimensional ideal MHD
- Non-linear wave propagation with applications to physics and magnetohydrodynamics
- Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
- High-Resolution Nonoscillatory Central Schemes with Nonstaggered Grids for Hyperbolic Conservation Laws
- Convergence of a Finite Volume Extension of the Nessyahu--Tadmor Scheme on Unstructured Grids for a Two-Dimensional Linear Hyperbolic Equation
- A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
- A Finite Volume Extension of the Lax-Friedrichs and Nessyahu-Tadmor Schemes for Conservation Laws on Unstructured Grids
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