Cilindru virknes aptecēšanas matemātiskais modelis
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Latvijas Universitāte
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Abstract
Darbā tiek apskatīts bezgalīgas cilindru virknes aptecēšanas stacionārais uzdevums mag-
nētiskā lauka iedarbībā divās dimensijās. Viskoza nesaspiežama šķidruma plūsmu ap-
raksta Psī-Zēta sistēma. Iegūtas attiecīgo eliptisko robežproblēmu vājās nostādnes un
uzkonstruēts iterāciju process, katrā solī pielietojot galīgo elementu metodi.
Atslēgas vārdi: MHD, Navjē-Stoksa vienādojumi, psī-zēta sistēma, galīgo elementu me-
tode
In this thesis the two-dimensional steady viscous incompressible magnetohydrodynamical flow past infinite rows of cylinders is considered. The flow is modeled by using the vorticity-stream Navier-Stokes equations' reformulation. The discrete versions of weak formulations for individual elliptic problems are derived and the iterative method by using linear finite elements is constructed. Keywords: MHD, Navier-Stokes equations, stream-vorticity formulation, finite element method
In this thesis the two-dimensional steady viscous incompressible magnetohydrodynamical flow past infinite rows of cylinders is considered. The flow is modeled by using the vorticity-stream Navier-Stokes equations' reformulation. The discrete versions of weak formulations for individual elliptic problems are derived and the iterative method by using linear finite elements is constructed. Keywords: MHD, Navier-Stokes equations, stream-vorticity formulation, finite element method