Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term  

作　　者：Farah Kanbar Rony Touma Christian Klingenberg 

机构地区：[1]Institute for Mathematics,University of Wuerzburg,Germany [2]Department of Computer Science and Mathematics,Lebanese American University,Lebanon

出　　处：《Communications in Computational Physics》2022年第8期878-898,共21页计算物理通讯（英文）

基　　金：the National Council for Scientific Research of Lebanon(CNRS-L)for granting a doctoral fellowship to Farah Kanbar;funding by theQualification Programof the Julius Maximilians University Wurzburg.

摘　　要：A well-balanced second order finite volume central scheme for the magnetohydrodynamic(MHD)equations with gravitational source term is developed in this paper.The scheme is an unstaggered central scheme that evolves the numerical solution on a single grid and avoids solving Riemann problems at the cell interfaces using ghost staggered cells.A subtraction technique is used on the conservative variables with the support of a known steady state in order to manifest the well-balanced property of the scheme.The divergence-free constraint of themagnetic field is satisfied after applying the constrained transport method(CTM)for unstaggered central schemes at the end of each time-step by correcting the components of the magnetic field.The robustness of the proposed scheme is verified on a list of numerical test cases from the literature.

关 键 词：MHD equations unstaggered central schemes well-balanced schemes steady states divergence-free constraint constrained transport method 

分 类 号：O17[理学—数学]