The domain decomposition method and compact discretization for the Navier-Stokes equations
The domain decomposition method is considered as means for handling nonstandard geometries and for speeding up of calculations via multiprocessing. Different variants of this method are investigated anälytically for the model problem and verified numerically for the full Navier- Stokes equations. The proposed algorithm is based on the fourth-order compact discretization schemes for the Navier-Stokes equations in streamfunction-vorticity formulation expressed in terms of a general orthogonal curvilinear coordinate system.
KeywordsDomain Decomposition Domain Decomposition Method Curvilinear Coordinate System Orthogonal Curvilinear Coordinate System Vorticity Transport Equation
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