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Abstract. We introduce a pure-streamfunction formulation for the incompressible Navier-Stokes equations. The idea is to replace the vorticity in the vorticity- streamfunction evolu...
Dalia Fishelov, Matania Ben-Artzi, Jean-Pierre Cro...
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 o...
Dalia Fishelov, Matania Ben-Artzi, Jean-Pierre Cro...
We present a fast direct solver methodology for the Dirichlet biharmonic problem in a rectangle. The solver is applicable in the case of the second order Stephenson scheme [34] as ...
Matania Ben-Artzi, Jean-Pierre Croisille, Dalia Fi...
We derive a Godunov-type relaxation scheme for turbulent flows with heat transfer. The building block of this approach is a kinetic Boltzmann-type formulation for a model of turbul...