Parallelization of the compact methods for the Navier-Stokes equations
Abstract
The proposed algorithm is based on the fourth-order compact discretization schemes for the Navier-Stokes equations in streamfunction-vorticity-pressure formulation. The equations are expressed in terms of a general orthogonal curvilinear coordinate system which allows for modelling non-standard geometries. Two distinct parallelization strategies are considered. The first one relies on the domain decomposition approach, in which each sub domain is served by a different processor. In the second strategy, suitable for massively parallel computers, each processor serves a single grid point . The comparison of the performance of various computing platforms is presented, including a 2048-processor MasPar computer.
References
[2] S.C.R. Dennis, J.D. Hudson. Compact h4 finite-difference approximations to operators of Navier-Stokes type. J. Comput. Phys., 85: 390-416, 1989.
[3] M.M. Gupta, R.P. Manohar. Boundary approximations and accuracy in viscous flow computations. J. Comput. Phys., 31: 265-288, 1979.
[4] J. Rokicki, J .M. Floryan. Multiprocessor implementation of the compact finite-difference method for the Navier-Stokes equations. Expert Systems in Fluid Dynamics Research Laboratory, Report ESFD - 3/93, Department of Mechanical Engineering, The University of Western Ontario, London, Ontario, Canada, 1993.
[5] J. Rokicki, J .M. Floryan. Compact fourth-order algorithm for the Navier-Stokes equations in terms of general orthogonal coordinate system. Expert Systems in Fluid Dynamics Research Laboratory, Report ESFD - 5/93, Department of Mechanical Engineering, The University of Western Ontario, London, Ontario, Canada, 1993.
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