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A lattice kinetic scheme with grid r...

Osborn, Bryan R.

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A lattice kinetic scheme with grid refinement for three-dimensional resistive magnetohydrodynamics.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A lattice kinetic scheme with grid refinement for three-dimensional resistive magnetohydrodynamics./
作者:	Osborn, Bryan R.
面頁冊數:	82 p.
附註:	Source: Masters Abstracts International, Volume: 42-06, page: 2220.
Contained By:	Masters Abstracts International42-06.
標題:	Physics, Fluid and Plasma. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1419564
ISBN:	0496243209

A lattice kinetic scheme with grid refinement for three-dimensional resistive magnetohydrodynamics.
Osborn, Bryan R.

A lattice kinetic scheme with grid refinement for three-dimensional resistive magnetohydrodynamics. - 82 p.

Source: Masters Abstracts International, Volume: 42-06, page: 2220.

Thesis (M.S.)--University of Maryland, College Park, 2004.

We develop, analyze, and numerically test a 3D lattice kinetic scheme for the resistive magnetohydrodynamic (MHD) equations. This scheme is based on the square D3Q19 lattice for the fluid and the square D3Q7 lattice for the magnetic field. The scheme is shown to be consistent with the MHD equations in the low-Mach, high-beta limit. We numerically test the scheme in a pseudo-3D implementation by examining its reproduction of linear MHD eigenmodes as well as its performance on the non-linear Orszag-Tang problem. Results show that the waves are correctly reproduced and that the code has second-order convergence in time step and grid spacing. A multi-block refinement algorithm is then tested, and its convergence properties are examined for the non-linear Orszag-Tang problem. We conclude that this multi-block refinement algorithm---previously only applied to hydrodynamic lattice kinetic schemes---can be used in conjunction with MHD lattice kinetic schemes.

ISBN: 0496243209Subjects--Topical Terms:

1018402
Physics, Fluid and Plasma.

A lattice kinetic scheme with grid refinement for three-dimensional resistive magnetohydrodynamics.
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245 1 2 $a A lattice kinetic scheme with grid refinement for three-dimensional resistive magnetohydrodynamics.
300 $a 82 p.
500 $a Source: Masters Abstracts International, Volume: 42-06, page: 2220.
500 $a Chair: William D. Dorland.
502 $a Thesis (M.S.)--University of Maryland, College Park, 2004.
520 $a We develop, analyze, and numerically test a 3D lattice kinetic scheme for the resistive magnetohydrodynamic (MHD) equations. This scheme is based on the square D3Q19 lattice for the fluid and the square D3Q7 lattice for the magnetic field. The scheme is shown to be consistent with the MHD equations in the low-Mach, high-beta limit. We numerically test the scheme in a pseudo-3D implementation by examining its reproduction of linear MHD eigenmodes as well as its performance on the non-linear Orszag-Tang problem. Results show that the waves are correctly reproduced and that the code has second-order convergence in time step and grid spacing. A multi-block refinement algorithm is then tested, and its convergence properties are examined for the non-linear Orszag-Tang problem. We conclude that this multi-block refinement algorithm---previously only applied to hydrodynamic lattice kinetic schemes---can be used in conjunction with MHD lattice kinetic schemes.
590 $a School code: 0117.
650 4 $a Physics, Fluid and Plasma. $3 1018402
650 4 $a Mathematics. $3 515831
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