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Computational Mechanics
Erschienen in: Computational Mechanics 6/2013

01.12.2013 | Original Paper

A meshfree weak-strong (MWS) form method for the unsteady magnetohydrodynamic (MHD) flow in pipe with arbitrary wall conductivity

verfasst von: Mehdi Dehghan, Rezvan Salehi

Erschienen in: Computational Mechanics | Ausgabe 6/2013

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Abstract

In this paper a meshfree weak-strong (MWS) form method is considered to solve the coupled equations in velocity and magnetic field for the unsteady magnetohydrodynamic flow throFor this modified estimaFor this modified estimaFor this modified estimaugh a pipe of rectangular and circular sections having arbitrary conducting walls. Computations have been performed for various Hartman numbers and wall conductivity at different time levels. The MWS method is based on applying a meshfree collocation method in strong form for interior nodes and nodes on the essential boundaries and a meshless local Petrov–Galerkin method in weak form for nodes on the natural boundary of the domain. In this paper, we employ the moving least square reproducing kernel particle approximation to construct the shape functions. The numerical results for sample problems compare very well with steady state solution and other numerical methods.
Vorheriger Artikel Element-wise algorithm for modeling ductile fracture with the Rousselier yield function
Nächster Artikel Experimental and computational validation of Hele-Shaw stagnation flow with varying shear stress

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Metadaten
Titel
A meshfree weak-strong (MWS) form method for the unsteady magnetohydrodynamic (MHD) flow in pipe with arbitrary wall conductivity
verfasst von
Mehdi Dehghan
Rezvan Salehi
Publikationsdatum
01.12.2013
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 6/2013
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-013-0886-z

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