Predictor–corrector algorithm for the numerical solution of the magnetic field equation in viscous incompressible MHD problems

被引：0
|
作者：
V. B. Betelin
V. A. Galkin
A. V. Gorelikov
机构：
[1] Russian Academy of Sciences,Scientific Research Institute for System Studies
[2] Surgut State University,Polytechnical Institute
来源：
Doklady Mathematics | 2015年 / 92卷
关键词：
Discrete Analogue; Magnetic Field Component; Nest Grid; Homogeneous Neumann Boundary Condition; Normal Magnetic Field;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An exact 3D viscous solution of the MHD equations that satisfies the slip conditions on the boundary of a parallelepiped is obtained. The efficiency of an iterative procedure relying on sequential splitting of the magnetic-field and hydrodynamic-flow computations via a detailed comparison of the resulting approximations with the exact solution of the problem is analyzed. The results of test computations on a sequence of nested grids suggest that the numerical method is second-order accurate in space.
引用
收藏
页码：618 / 621
页数：3
相关论文
共 50 条
  • [1] Predictor-corrector algorithm for the numerical solution of the magnetic field equation in viscous incompressible MHD problems
    Betelin, V. B.
    Galkin, V. A.
    Gorelikov, A. V.
    [J]. DOKLADY MATHEMATICS, 2015, 92 (02) : 618 - 621
  • [2] A predictor-corrector scheme for the numerical solution of the Boussinesq equation
    M. S. Ismail
    A. G. Bratsos
    [J]. Journal of Applied Mathematics and Computing, 2003, 13 (1-2) : 11 - 27
  • [3] Explicit Solution of the Time Domain Magnetic Field Integral Equation using a Predictor-Corrector Scheme
    Uelkue, H. A.
    Bagci, H.
    Michielssen, E.
    [J]. 2012 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA), 2012, : 810 - 813
  • [4] Numerical Solution of Sylvester Equation Based on Iterative Predictor-Corrector Method
    Iyikal, Ovgu Cidar
    [J]. JOURNAL OF MATHEMATICS, 2022, 2022
  • [5] NUMERICAL-SOLUTION OF STATIONARY PROBLEMS FOR AN INCOMPRESSIBLE VISCOUS-LIQUID
    VABISHCHEVICH, PN
    VABISHCHEVICH, TN
    [J]. DIFFERENTIAL EQUATIONS, 1983, 19 (05) : 623 - 630
  • [6] A PREDICTOR-CORRECTOR SOLUTION OF THE MODIFIED HORTON EQUATION
    VANDERMOLEN, WH
    [J]. JOURNAL OF HYDROLOGY, 1986, 89 (1-2) : 165 - 167
  • [7] Marching On-In-Time Solution of the Time Domain Magnetic Field Integral Equation Using a Predictor-Corrector Scheme
    Uelkue, Huseyin Arda
    Bagci, Hakan
    Michielssen, Eric
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2013, 61 (08) : 4120 - 4131
  • [8] A numerical algorithm for viscous incompressible interfacial flows
    Wang, Jin
    Baker, Greg
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 228 (15) : 5470 - 5489
  • [9] Numerical Solution of MHD Incompressible Convection Flow in Channels
    Gurbuz, Merve
    Tezer-Sezgin, Munevver
    [J]. EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS, 2019, 28 (05): : 411 - 431
  • [10] A NEW SYMMETRIC EIGHT-STEP PREDICTOR-CORRECTOR METHOD FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHRODINGER EQUATION AND RELATED ORBITAL PROBLEMS
    Panopoulos, G. A.
    Anastassi, Z. A.
    Simos, T. E.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2011, 22 (02): : 133 - 153
12345