Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method

被引：5

作者：

Abbaszadeh, Mostafa ^{[1
]}

Bayat, Mostafa ^{[1
]}

Dehghan, Mehdi ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Tehran Polytech, Fac Math & Comp Sci, Dept Appl Math, 424 Hafez Ave, Tehran 15914, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 433卷

关键词：

Meshless local Petrov-Galerkin technique; Generalized moving least squares  approximation; Magnetohydrodynamics (MHD) equation; FINITE-ELEMENT-METHOD; MAGNETOHYDRODYNAMIC MHD FLOW; GALERKIN MLPG METHOD; COLLOCATION METHOD; DUCT FLOW; DIFFUSION-EQUATIONS; SWIFT-HOHENBERG; CHANNEL FLOWS; CAHN-HILLIARD; INTERPOLATION;

D O I：

10.1016/j.amc.2022.127293

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The magnetohydrodynamics (MHD) equation is one of the practical models that it has dif-ferent applications in physics and engineering. It describes the magnetic properties and behavior of electrically conducting fluids. This paper investigates the MHD equation nu-merically. First, the time derivative is approximated by utilizing the Crank-Nicholson scheme. The convergence order and unconditional stability of the proposed time-discrete scheme are analyzed by the energy method. Then, the direct meshless local Petrov-Glerkin (DMLPG) method is applied for the spatial derivative to get the full-discrete scheme. The new numerical procedure is used to simulate this equation in a pipe with regular and irregular cross-sectional area. Numerical results show the efficiency of this method is well.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：19

共 56 条

[1] A proper orthogonal decomposition variational multiscale meshless interpolating element-free Galerkin method for incompressible magnetohydrodynamics flow [J].