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Accommodative FAS-FMG Multilevel Based Meshfree Augmented RBF-FD Method for Navier-Stokes Equations in Spherical Geometry

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Mathematics and Computing (ICMC 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 655))

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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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Authors and Affiliations

  1. Indian Institute of Technology Bhubaneswar, Bhubaneswar, Odisha, India

    Nikunja Bihari Barik & T. V. S. Sekhar

Authors
  1. Nikunja Bihari Barik
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  2. T. V. S. Sekhar
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Corresponding author

Correspondence to Nikunja Bihari Barik .

Editor information

Editors and Affiliations

  1. Haldia Institute of Technology, Haldia, India

    Debasis Giri

  2. University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  3. Freie Universität Berlin, Berlin, Germany

    Heinrich Begehr

  4. Fordham University, Bronx, New York, USA

    Mohammad S. Obaidat

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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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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-4641-4

  • Online ISBN: 978-981-10-4642-1

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