AN EFFICIENT THIRD-ORDER SCHEME FOR THREE-DIMENSIONAL HYPERBOLIC CONSERVATION LAWS
2012 ◽
Vol 03
(04)
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pp. 1250015
Keyword(s):
In this paper, we present a third-order central weighted essentially nonoscillatory (CWENO) reconstruction for computations of hyperbolic conservation laws in three space dimensions. Simultaneously, as a Godunov-type central scheme, the CWENO-type central-upwind scheme, i.e., the semi-discrete central-upwind scheme based on our third-order CWENO reconstruction, is developed straightforwardly to solve 3D systems by the so-called componentwise and dimensional-by-dimensional technologies. The high resolution, the efficiency and the nonoscillatory property of the scheme can be verified by solving several numerical experiments.
2020 ◽
Vol 92
(12)
◽
pp. 1753-1777
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1991 ◽
Vol 13
(3)
◽
pp. 287-307
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2013 ◽
Vol 255
◽
pp. 205-227
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2008 ◽
Vol 198
(2)
◽
pp. 770-786
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2015 ◽
Vol 282
◽
pp. 157-182
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Keyword(s):
Keyword(s):