Spectral Direction Splitting Schemes for the Incompressible Navier-Stokes Equations
نویسندگان
چکیده
We 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 pressurestabilization schemes. We prove that these schemes are unconditionally stable, and present numerical results which demonstrate the stability, accuracy, and efficiency of the proposed methods.
منابع مشابه
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Article history: Received 25 February 2013 Received in revised form 4 October 2013 Accepted 1 May 2014 Available online 14 June 2014
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