Comparison of several finite difference methods for magnetohydrodynamics in 1D and 2D

被引：1
|
作者：
Havlik, P.
Liska, R.
机构：
来源：
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS: PROCEEDINGS OF THE 11TH INTERNATIONAL CONFERENCE ON HYPERBOLIC PROBLEMS | 2008年
关键词：
D O I：
10.1007/978-3-540-75712-2_57
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The comparison of several finite difference methods for ideal magnetohydrodynamics (MHD) is presented. Compared finite difference methods include composite schemes, central scheme, WENO, component wise CWENO, and public freely available packages Nirvana and Flash. ID Cartesian tests concern smooth, Brio-Wu and intermediate shock formation problems. From 2D Cartesian tests we shortly present Orszag-Tang vortex problem and shock-cloud interaction problem. As we are interested in the generalization of schemes from Cartesian to cylindrical r - z geometry, we include also generalization of composite and CWENO schemes to cylindrical geometry with their application to 2D conical z-pinch problem.
引用
收藏
页码：585 / 592
页数：8
相关论文
共 50 条
  • [31] A method of lines flux-difference splitting finite volume approach for 1D and 2D river flow problems
    Steinebach, G
    Ngo, AQT
    GODUNOV METHODS: THEORY AND APPLICATIONS, 2001, : 863 - 871
  • [32] Life: Overview of a unified C++ implementation of the finite and spectral element methods in 1D, 2D and 3D
    Prud'homme, Christophe
    APPLIED PARALLEL COMPUTING: STATE OF THE ART IN SCIENTIFIC COMPUTING, 2007, 4699 : 712 - 721
  • [33] An FCT finite element scheme for ideal MHD equations in 1D and 2D
    Basting, Melanie
    Kuzmin, Dmitri
    JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 338 : 585 - 605
  • [34] A Stochastic Wavelet Finite Element Method for 1D and 2D Structures Analysis
    Zhang, Xingwu
    Chen, Xuefeng
    Yang, Zhibo
    Li, Bing
    He, Zhengjia
    SHOCK AND VIBRATION, 2014, 2014
  • [35] Finite Time Blow Up for a 1D Model of 2D Boussinesq System
    Choi, Kyudong
    Kiselev, Alexander
    Yao, Yao
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 334 (03) : 1667 - 1679
  • [36] On the equations of 2 1/2D electron magnetohydrodynamics
    Nunez, Manuel
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1647 - 1652
  • [37] Finite Time Blow Up for a 1D Model of 2D Boussinesq System
    Kyudong Choi
    Alexander Kiselev
    Yao Yao
    Communications in Mathematical Physics, 2015, 334 : 1667 - 1679
  • [38] Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
    Dong, Xiaojing
    He, Yinnian
    Zhang, Yan
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2014, 276 : 287 - 311
  • [39] Methods for Estimating 2D Cloud Size Distributions from 1D Observations
    Romps, David M.
    Vogelmann, Andrew M.
    JOURNAL OF THE ATMOSPHERIC SCIENCES, 2017, 74 (10) : 3405 - 3417
  • [40] A comparison of 1D and 2D (unbiased) experimental methods for measuring CSA/DD cross-correlated relaxation
    Batta, G
    Kövér, KE
    Kowalewski, J
    JOURNAL OF MAGNETIC RESONANCE, 1999, 136 (01) : 37 - 46
12345