Spectral Direction Splitting Schemes for the Incompressible Navier-Stokes Equations
2011 ◽
Vol 1
(3)
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pp. 215-234
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Keyword(s):
AbstractWe propose and analyze spectral direction splitting schemes for the incompressible Navier-Stokes equations. The schemes combine a Legendre-spectral method for the spatial discretization and a pressure-stabilization/direction splitting scheme for the temporal discretization, leading to a sequence of one-dimensional elliptic equations at each time step while preserving the same order of accuracy as the usual pressure-stabilization schemes. We prove that these schemes are unconditionally stable, and present numerical results which demonstrate the stability, accuracy, and efficiency of the proposed methods.
2014 ◽
Vol 16
(5)
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pp. 1239-1262
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Keyword(s):
2015 ◽
Vol 15
(3)
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pp. 307-330
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2017 ◽
Vol 32
(4)
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1976 ◽
Vol 78
(2)
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pp. 355-383
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Keyword(s):
2015 ◽
Vol 55
◽
pp. 160-172
Keyword(s):