A discrete projection method for incompressible viscous flow with coriolis force
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چکیده
The paper presents a new discrete projection method for the numerical solution of the Navier-Stokes equations with Coriolis force term. On an algebraic level we interpret one time step of the projection method as an incomplete factorization of the linearized Navier-Stokes system and as the iteration of an Uzawa type algorithm with special preconditioning for the pressure block. This enables us to modify the well-known projection method in a way to account for possibly dominating Coriolis terms. We consider a special multigrid method for solving the velocity subproblems and a modified projection (pressure correction) step. Results of numerical tests are presented for a model problem as well as for 3D flow simulations in stirred tank reactors.
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تاریخ انتشار 2007