Second order, fully decoupled, linear, exactly divergence-free and unconditionally stable discrete scheme for incompressible MHD equations

被引：0
|
作者：
Ding, Qianqian [1 ]
Mao, Shipeng [2 ]
Xi, Ruijie [2 ]
机构：
[1] School of Mathematics and Statistics, Beijing Jiaotong University, Beijing,100044, China
[2] NCMIS, LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, School of Mathematical Science, University of Chinese Academy of Sciences, Beijing,100190, Ch
来源：
Computers and Mathematics with Applications | 2024年 / 169卷
关键词：
D O I：
10.1016/j.camwa.2024.06.018
中图分类号：
学科分类号：
摘要：
58
引用
收藏
页码：195 / 204
相关论文
共 50 条
  • [1] Second order fully decoupled and unconditionally energy-stable finite element algorithm for the incompressible MHD equations
    Yang, Jinjin
    Mao, Shipeng
    [J]. APPLIED MATHEMATICS LETTERS, 2021, 121
  • [2] Second Order Unconditionally Convergent Fully Discrete Scheme for Incompressible Vector Potential MHD System
    Ding, Qianqian
    Long, Xiaonian
    Mao, Shipeng
    Xi, Ruijie
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2024, 100 (01)
  • [3] Convergence of an unconditionally stable semi-implicit scheme for linear incompressible MHD equations
    Berroukeche, M
    Maschke, EK
    Saramito, B
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (01): : 81 - 86
  • [4] Second order unconditionally convergent and energy stable linearized scheme for MHD equations
    Zhang, Guo-Dong
    Yang, Jinjin
    Bi, Chunjia
    [J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2018, 44 (02) : 505 - 540
  • [5] Second order unconditionally convergent and energy stable linearized scheme for MHD equations
    Guo-Dong Zhang
    Jinjin Yang
    Chunjia Bi
    [J]. Advances in Computational Mathematics, 2018, 44 : 505 - 540
  • [6] Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations
    Li, Fengyan
    Xu, Liwei
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (06) : 2655 - 2675
  • [7] A constrained transport divergence-free finite element method for incompressible MHD equations
    Li, Lingxiao
    Zhang, Donghang
    Zheng, Weiying
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 428 (428)
  • [8] A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations
    Fambri, F.
    Zampa, E.
    Busto, S.
    Rio-Martin, L.
    Hindenlang, F.
    Sonnendruecker, E.
    Dumbser, M.
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 493
  • [9] Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations
    Zhang, Guo-Dong
    He, Xiaoming
    Yang, Xiaofeng
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 369
  • [10] Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
    Li, Fengyan
    Xu, Liwei
    Yakovlev, Sergey
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 230 (12) : 4828 - 4847
12345