A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations
作者: Sibusiso MabuzaJohn N. ShadidEric C. CyrRoger P. PawlowskiDmitri Kuzmin
作者单位: 1School of Mathematical and Statistical Sciences, Clemson University, O-110 Martin Hall, Clemson, SC 29634, USA
2Center for Computing Research, Sandia National Laboratories, PO Box 5800, Albuquerque, NM 87185-1321, USA
3Department of Mathematics and Statistics, University of New Mexico, MSC01 1115, Albuquerque, NM 87131, USA
4Institute of Applied Mathematics (LS III), TU Dortmund University, Vogelpothsweg 87, D-44227 Dortmund, Germany
刊名: Journal of Computational Physics, 2020, Vol.410
来源数据库: Elsevier Journal
DOI: 10.1016/j.jcp.2020.109390
关键词: Linearity preservationAlgebraic flux correctionContinuous Galerkin methodsIterative limitersArtificial diffusionMagnetohydrodynamics
原始语种摘要: Abstract(#br)In this work, a stabilized continuous Galerkin (CG) method for magnetohydrodynamics (MHD) is presented. Ideal, compressible inviscid MHD equations are discretized in space on unstructured meshes using piecewise linear or bilinear finite element bases to get a semi-discrete scheme. Stabilization is then introduced to the semi-discrete method in a strategy that follows the algebraic flux correction paradigm. This involves adding some artificial diffusion to the high order, semi-discrete method and mass lumping in the time derivative term. The result is a low order method that provides local extremum diminishing properties for hyperbolic systems. The difference between the low order method and the high order method is scaled element-wise using a limiter and added to the low...
全文获取路径: Elsevier  (合作)
影响因子:2.138 (2012)

  • preserving 保藏
  • variation 变异
  • ideal 理想
  • MHD Movable-Head Disc
  • algorithm 算法
  • linearity 线性
  • limiter 限幅器
  • algebraic 代数的
  • scheme 略图
  • extremum 极值