Analysis of a stabilized element-free Galerkin method for magnetohydrodynamic flow at very large Hartmann numbers

Xiaolin Li and Haiyun Dong

Applied Mathematics and Computation, 2025, vol. 495, issue C

Abstract: A stabilized element-free Galerkin (EFG) method is designed to simulate magnetohydrodynamic (MHD) flow at very large Hartmann numbers. By transforming the MHD flow to two decoupled convection-diffusion problems, residual-based formulas are devised to improve the performance of the standard EFG method damaged by large Hartmann numbers. Error of the stabilized EFG method is discussed in theory. Numerical examples show that this meshless method can produce efficacious solutions for MHD problems with very large Hartmann numbers such as 1016.

Keywords: Meshfree methods; Element-free Galerkin analysis; Magnetohydrodynamic equations; Convection-diffusion problem; Stabilization; Error analysis (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:495:y:2025:i:c:s009630032500061x

DOI: 10.1016/j.amc.2025.129334

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