 A projection method for the non-stationary incompressible MHD coupled with the heat equationsZhiyong Si, Mingyi Wang and Yunxia Wang Applied Mathematics and Computation, 2022, vol. 428, issue C Abstract: In this paper, we introduce a linearized projection scheme for non-stationary incompressible coupled the MHD with heat equations, which buoyancy affects because temperature differences in the flow cannot be neglected. The projection algorithm naturally preserves the Gauss’s law and overcomes many shortcomings of previous approaches, which also preserves the electrical field e. Firstly, we establish certain discrete energy estimates based on the projection scheme. Next, we testify the unconditional stability and error estimates of the velocity, pressure, magnetic field and temperature. The regularity of the projection scheme will be given. The numerical results show the method has an optimal convergence order, and can keep Gauss’s law well. The numerical results are consistent with our theoretical analysis, and our method is effective. The numerical method has a good robustness for different cases. Keywords: Coupled the MHD with heat equations; Projection scheme; Energy estimates; Error estimates; Regularity analysis (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:428:y:2022:i:c:s0096300322002910 DOI: 10.1016/j.amc.2022.127217 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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