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• W1864967656 abstract "In this dissertation, we are concerned with the numerical simulation for flows of electrically conducting fluids exposed to an external magnetic field (also known as magnetohydrodynamics or in short MHD). The aim of the present dissertation is twofold. First, the in-house CFD hydrodynamic solver SFELES is extended to MHD problems. Second, MHD turbulence is studied in the simple configuration of a MHD pipe flow within an external transverse magnetic field. Chapter 2 of this dissertation aims at reminding the physical equations that govern incompressible MHD problems. Two equivalent formulations are put forward in the particular case of quasi-static MHD. Chapter 3 is devoted to the detailed development of the hybrid spectral - stabilized finite element methods for quasi-static MHD problems. The extension of SFELES is made for both Cartesian and axisymmetric systems of coordinates. The short chapter 4 follows to provide the performances of SFELES executed by several processes in a parallel environment. The addition of a parallel direct solver is studied in regards with the memory and time requirements. The extension of SFELES is then validated in chapter 5 with test cases of increasing complexity. For this purpose, laminar flows with an existing analytical-asymptotic solution are considered. The subject of chapter 6 is the MHD turbulent pipe flow within an external transverse and uniform magnetic field. The results are partially compared with the corresponding hydrodynamic flow and with a few data available in the literature. / Le theme de cette these de doctorat est la simulation numerique d'ecoulements de fluides conducteurs d'electricite qui sont exposes a un champ magnetique exterieur (egalement connu sous le nom de magnetohydrodynamique ou encore MHD). L'objectif de ce travail est double. Premierement, le code CFD maison SFELES est etendu aux problemes MHD. Deuxiemement, la turbulence MHD est etudiee dans la configuration de l'ecoulement en conduite cylindrique a l'interieur d'un champ magnetique transverse. Le chapitre 2 de cette these a pour but de rappeler les equations qui gouvernent les problemes de MHD incompressible. Deux formulations equivalente sont mises en evidence dans le cas particulier de la MHD quasi-statique. Le chapitre 3 est devoue au developpement detaille des methodes spectrale - elements finis pour la MHD quasi-statique. L'extension de SFELES est realisee dans les systemes de coordonnees cartesiennes et axisymetriques. Le court chapitre 4 suit pour fournir les performances de SFELES execute sur plusieurs processeurs dans un environnement parallele. L'ajout d'un solveur parallele direct est etudie en ce qui concerne les demandes en temps et memoire. L'extension de SFELES est alors validee dans le chapitre 5 avec des cas d'etude de complexite croissante. Dans ce but, des ecoulements laminaires avec solution theorique-asymptotique sont envisages. Le sujet du chapitre 6 est l'ecoulement MHD turbulent en conduite cylindrique a l'interieur d'un champ magnetique transverse et uniforme. Les resultats sont partiellement compares avec l'ecoulement hydrodynamique correspondant et avec des donnees disponibles dans la litterature." @default.
• W1864967656 created "2016-06-24" @default.
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• W1864967656 date "2014-09-08" @default.
• W1864967656 modified "2023-09-28" @default.
• W1864967656 title "Numerical simulation of incompressible magnetohydrodynamic duct and channel flows by a hybrid spectral, finite element solver" @default.
• W1864967656 hasPublicationYear "2014" @default.
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