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JSCIC
2010

Recent Developments in the Pure Streamfunction Formulation of the Navier-Stokes System

8 years 10 months ago
Recent Developments in the Pure Streamfunction Formulation of the Navier-Stokes System
In this paper we review fourth-order approximations of the biharmonic operator in one, two and three dimensions. In addition, we describe recent developments on second and fourth order finite difference approximations of the two dimensional Navier-Stokes equations. The schemes are compact both for the biharmonic and the Laplacian operators. For the convective term the fourth order scheme invokes also a sixth order Pade approximation for the first order derivatives, using an approximation suggested by Carpenter-GottliebAbarbanel (J. Comput. Phys. 108:272
Dalia Fishelov, Matania Ben-Artzi, Jean-Pierre Cro
Added 19 May 2011
Updated 19 May 2011
Type Journal
Year 2010
Where JSCIC
Authors Dalia Fishelov, Matania Ben-Artzi, Jean-Pierre Croisille
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