## Finite Pointset Method Based On The Projection Method For Simulations Of The Incompressible Navier-Stokes Equations

• A Lagrangian particle scheme is applied to the projection method for the incompressible Navier-Stokes equations. The approximation of spatial derivatives is obtained by the weighted least squares method. The pressure Poisson equation is solved by a local iterative procedure with the help of the least squares method. Numerical tests are performed for two dimensional cases. The Couette flow, Poiseuelle flow, decaying shear flow and the driven cavity flow are presented. The numerical solutions are obtained for stationary as well as instationary cases and are compared with the analytical solutions for channel flows. Finally, the driven cavity in a unit square is considered and the stationary solution obtained from this scheme is compared with that from the finite element method.

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Verfasserangaben: J. Kuhnert, S. Tiwari urn:nbn:de:hbz:386-kluedo-12933 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (30) Bericht Englisch 2001 2001 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik 02.02.2004 Incompressible Navier-Stokes equations; Least squares approximation; Meshfree method; Particle scheme; Projection method Fraunhofer (ITWM) 5 Naturwissenschaften und Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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