Efficient low dissipative high order schemes for multiscale MHD flows. II: Minimization of \(\nabla\cdot B\) numerical error
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Publication:858027
DOI10.1007/s10915-005-9004-5zbMath1149.76648OpenAlexW2118654491MaRDI QIDQ858027
Publication date: 5 January 2007
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-005-9004-5
Finite difference methods applied to problems in fluid mechanics (76M20) Magnetohydrodynamics and electrohydrodynamics (76W05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
- Unnamed Item
- Efficient low dissipative high order schemes for multiscale MHD flows. II: Minimization of \(\nabla\cdot B\) numerical error
- Self-adjusting grid methods for one-dimensional 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
- Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations
- Low-dissipative high-order shock-capturing methods using characteristic-based filters
- A simple finite difference scheme for multidimensional magnetohydrodynamical equations
- High order centered difference methods for the compressible Navier-Stokes equations
- Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws
- Multiresolution wavelet-based adaptive numerical dissipation control for high-order methods
- Entropy splitting and numerical dissipation
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Hyperbolic divergence cleaning for the MHD equations
- A solution-adaptive upwind scheme for ideal magnetohydrodynamics
- Efficient implementation of weighted ENO schemes
- Nonlinear filtering and limiting in high order methods for ideal and non-ideal MHD
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
- Low dissipative high‐order numerical simulations of supersonic reactive flows
- Summation by Parts, Projections, and Stability. I
- Summation by Parts, Projections, and Stability. II
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