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An Essentially Non-Oscillatory Crank-Nicolson Procedure for Incompressible Navier-Stokes Equations
by
Chung-Ki Cho
Department of Mathematics, Soonchunhyang University, Asan 336-745, South Korea
Coauthors: Seongjai Kim
We introduce an essentially non-oscillatory Crank-Nicolson(ENO-CN) scheme for the numerical solution of unsteady incompressible Navier-Stokes(NS) equations. ENO-CN utilizes the second-order upwind ENO scheme for the approximation of the convection term in the explicit step, while everything else is discretized by the central finite volume method. It has been numerically verified for NS equations in 2D that the resulting algorithm is non-oscillatory for a large range of Reynolds numbers and less dissipative than the conventional upwind methods and deferred correction methods. The new approach can be extended for 3D problems straightforwardly.
Date received: September 12, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavp-13.