An energy-preserving MAC-Yee scheme for the incompressible MHD equation
From MaRDI portal
Publication:5956641
DOI10.1006/jcph.2001.6772zbMath0999.76096OpenAlexW2009175884MaRDI QIDQ5956641
Publication date: 2 December 2002
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.2001.6772
Finite difference methods applied to problems in fluid mechanics (76M20) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items
Energy and helicity preserving schemes for hydro- and magnetohydro-dynamics flows with symmetry ⋮ A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and \(\operatorname{div} B = 0\) ⋮ Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations ⋮ Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations ⋮ Convergence of a Finite Difference Scheme for Two-Dimensional Incompressible Magnetohydrodynamics ⋮ Influences of conservative and non-conservative Lorentz forces on energy conservation properties for incompressible magnetohydrodynamic flows ⋮ The virtual element method for a 2D incompressible MHD system ⋮ A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction ⋮ Geometric, variational discretization of continuum theories ⋮ A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance ⋮ Stream function-velocity-magnetic induction compact difference method for the 2D steady incompressible full magnetohydrodynamic equations ⋮ The virtual element method for resistive magnetohydrodynamics ⋮ Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models ⋮ Finite difference schemes for incompressible flow based on local pressure boundary conditions ⋮ Variational integrators for reduced magnetohydrodynamics ⋮ Comparison of the simplified and full MHD models for laminar incompressible flow past a circular cylinder ⋮ A Convergent Linearized Lagrange Finite Element Method for the Magneto-hydrodynamic Equations in Two-Dimensional Nonsmooth and Nonconvex Domains ⋮ The virtual element method for the coupled system of magneto-hydrodynamics
Cites Work
- Local adaptive mesh refinement for shock hydrodynamics
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- One-point singular solutions to the Navier-Stokes equations
- A discontinuous Galerkin method for the viscous MHD equations
- Mimetic discretizations for Maxwell's equations
- Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
- Vorticity boundary condition and related isssues for finite difference schemes
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- Inéquations en thermoélasticité et magnétohydrodynamique
- Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
- Some mathematical questions related to the mhd equations
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- The Orthogonal Decomposition Theorems for Mimetic Finite Difference Methods
- Numerical Solution of the Navier-Stokes Equations
- Incompressible Computational Fluid Dynamics
- Unnamed Item
- Unnamed Item