Abstract
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.
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Barik, N.B., Sekhar, T.V.S. (2017). Accommodative FAS-FMG Multilevel Based Meshfree Augmented RBF-FD Method for Navier-Stokes Equations in Spherical Geometry. In: Giri, D., Mohapatra, R., Begehr, H., Obaidat, M. (eds) Mathematics and Computing. ICMC 2017. Communications in Computer and Information Science, vol 655. Springer, Singapore. https://doi.org/10.1007/978-981-10-4642-1_13
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DOI: https://doi.org/10.1007/978-981-10-4642-1_13
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