On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method
نویسندگان
چکیده
منابع مشابه
On the Divergence-Free Condition in Godunov-Type Schemes for Ideal Magnetohydrodynamics: the Upwind Constrained Transport Method
We present a general framework to design Godunov-type schemes for multidimensional ideal magnetohydrodynamic (MHD) systems, having the divergence-free relation and the related properties of the magnetic field B as built-in conditions. Our approach mostly relies on the Constrained Transport (CT) discretization technique for the magnetic field components, originally developed for the linear induc...
متن کاملOn the behavior of upwind schemes in the low Mach number limit: II. Godunov type schemes
This paper presents an analysis of Godunov scheme in the low Mach number regime. We study the Riemann problem and show that the interface pressure contains acoustic waves of order OðM Þ where M is the reference Mach number even if the initial data are well-prepared and contain only pressure fluctuations of order OðM2 Þ. We then propose to modify the fluxes computed by Godunov type schemes by so...
متن کاملA Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
The authors present a higher-order Godunov method for the solution of the twoand three-dimensional equations of ideal magnetohydrodynamics (MHD). This work is based both on a suitable operator-split approximation to the full multidimensional equations, and on a one-dimensional Riemann solver. TIlls Riemann solver is sufficiently robust to handle the nonstrictly hyperbolic nature of the MHD equa...
متن کاملA Solution-Adaptive Upwind Schemefor Ideal Magnetohydrodynamics
A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics Kenneth G. Powell,∗ Philip L. Roe,∗ Timur J. Linde,∗ Tamas I. Gombosi,† and Darren L. De Zeeuw† ∗W. M. Keck Foundation CFD Laboratory, Department of Aerospace Engineering, University of Michigan, Ann Arbor, Michigan 48109-2140; and †Space Physics Research Laboratory, Department of Atmospheric, Oceanic and Space Sciences, Universit...
متن کاملAn unsplit Godunov method for ideal MHD via constrained transport in three dimensions
We describe a single step, second-order accurate Godunov scheme for ideal MHD based on combining the piecewise parabolic method (PPM) for performing spatial reconstruction, the corner transport upwind (CTU) method of Colella for multidimensional integration, and the constrained transport (CT) algorithm for preserving the divergence-free constraint on the magnetic field. We adopt the most compac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2004
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2003.09.016