Accommodative FAS-FMG Multilevel Based Meshfree Augmented RBF-FD Method for Navier-Stokes Equations in Spherical Geometry
The efficiency of any numerical scheme measures on the accuracy of the scheme and its computational time. An efficient meshfree augmented local radial basis function (RBF-FD) method has been developed for steady incompressible Navier-Stokes equations in spherical geometry with unbounded domain which is based on accommodative FAS-FMG multigrid method. The axi-symmetric spherical polar Navier-Stokes equations are solved without using transformation. The non-linear convective terms are handled efficiently by considering upwind type of RBF nodes. The developed scheme saves around 34\(\%\) of the CPU time than the usual RBF-FD method.
KeywordsRadial basis function Accommodative FAS-FMG multilevel method Meshless method Unbounded flows Navier-Stokes equations
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