An IPOT meshless method using DC PSE approximation for fluid flow equations in 2D and 3D geometries

G. C. Bourantas, V. C. Loukopoulos, E. D. Skouras, V. N. Burganos, George C. Nikiforidis

Research output: Chapter in Book/Conference paperConference paper

Abstract

Navier-Stokes (N-S) equations, in their primitive variable (u-v-p) formulation, are numerically solved using the Implicit Potential (IPOT) numerical scheme in the context of strong form Meshless Point Collocation (MPC) method. The unknown field functions are computed using the Discretization Correction Particle Strength Exchange (DC PSE) approximation method. The latter makes use of discrete moment conditions to derive the operator kernels, which leads to low condition number for the moment matrix compared to other meshless interpolation methods and increased stability for the numerical solution. The proposed meshless scheme is applied on 2D and 3D spatial domains, using uniform or irregular set of nodes to represent the domain. The numerical results obtained are compared against those obtained using well-established methods.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics 2015
EditorsTheodore Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics
Volume1738
ISBN (Electronic)9780735413924
DOIs
Publication statusPublished - 8 Jun 2016
Externally publishedYes
EventInternational Conference on Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 - Rhodes, Greece
Duration: 23 Sep 201529 Sep 2015

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
CountryGreece
CityRhodes
Period23/09/1529/09/15

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  • Cite this

    Bourantas, G. C., Loukopoulos, V. C., Skouras, E. D., Burganos, V. N., & Nikiforidis, G. C. (2016). An IPOT meshless method using DC PSE approximation for fluid flow equations in 2D and 3D geometries. In T. Simos, & C. Tsitouras (Eds.), International Conference of Numerical Analysis and Applied Mathematics 2015 (Vol. 1738). [480066] American Institute of Physics. https://doi.org/10.1063/1.4952302