On Vorticity Prediction Using Limited Rotated Richtmyer Scheme
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1
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In this paper, a study on limited Rotated Richtmyer scheme is performed with a focus on vorticity prediction. It will be mathematically and numerically demonstrated that the Rotated Richtmyer scheme coupled with a TVD limiter can retain both irrotational and rotational flow when solving pure acoustics equations. However, the limited Rotated Richtmyer scheme cannot preserve irrotational flow if the advection terms are included.
Classification :
76N15, 35L05, 35Q31
Farzad Ismail. On Vorticity Prediction Using Limited Rotated Richtmyer Scheme. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2013_36_1_a1/
@article{BMMS_2013_36_1_a1,
author = {Farzad Ismail},
title = {On {Vorticity} {Prediction} {Using} {Limited} {Rotated} {Richtmyer} {Scheme}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2013},
volume = {36},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_1_a1/}
}