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

作者：

Highlights：

• This paper numerically studies the magnetic properties and behavior of electrically conducting fluids based on the magnetohydrodynamics (MHD) equation.

• A new meshless numerical procedure is proposed to solve the mentioned model.

• The stability and convergence of the proposed numerical procedure are investigated analytically and numerically.

• The different non-rectangular computational domains are considered.

摘要

•This paper numerically studies the magnetic properties and behavior of electrically conducting fluids based on the magnetohydrodynamics (MHD) equation.•A new meshless numerical procedure is proposed to solve the mentioned model.•The stability and convergence of the proposed numerical procedure are investigated analytically and numerically.•The different non-rectangular computational domains are considered.

论文关键词：Meshless local Petrov–Galerkin technique,Generalized moving least squares approximation,Magnetohydrodynamics (MHD) equation

论文评审过程：Received 12 March 2021, Revised 16 February 2022, Accepted 2 June 2022, Available online 14 July 2022, Version of Record 14 July 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127293