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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.

Record Type:	Electronic resources : Monograph/item
Title/Author:	A lattice kinetic scheme with grid refinement for three-dimensional resistive magnetohydrodynamics./
Author:	Osborn, Bryan R.
Description:	82 p.
Notes:	Source: Masters Abstracts International, Volume: 42-06, page: 2220.
Contained By:	Masters Abstracts International42-06.
Subject:	Physics, Fluid and Plasma. -
Online resource:	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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020 $a 0496243209
035 $a (UnM)AAI1419564
035 $a AAI1419564
040 $a UnM $c UnM
100 1 $a Osborn, Bryan R. $3 1936300
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
690 $a 0759
690 $a 0405
710 2 0 $a University of Maryland, College Park. $3 657686
773 0 $t Masters Abstracts International $g 42-06.
790 1 0 $a Dorland, William D., $e advisor
790 $a 0117
791 $a M.S.
792 $a 2004
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1419564