Title: A physical approach to development of numerical methods for solving Navier-Stokes equations in primitive variables formulation

Authors: Sergey I. Martynenko

Addresses: Department of Chemistry of Engine Combustive-Lubricating Materials and Special Engines, Federal State Unitary Enterprise ''Central Institute of Aviation Motors n.a. P.I. Baranov'', 2, Aviamotornaya St., Moscow 111116, Russia

Abstract: A new approach for reduction of computational cost of numerical algorithms for the Navier–Stokes equations in primitive variables formulation is proposed. The approach uses physical aspects of hydrodynamics for fast computation of |part| of pressure. For the given purpose, an auxiliary problem based on simplified Navier–Stokes equations and original pressure splitting is suggested. The paper represents detailed description of the approach and results of numerical experiments with benchmark and applied problems. Proposed approach leads to impressive reduction of the computational efforts at simulation of directed fluid flows.

Keywords: Navier–Stokes equations; CFD; computational fluid dynamics; numerical methods; computational cost reduction; primitive variables; hydrodynamics; pressure splitting; simulation; directed fluid flow.

DOI: 10.1504/IJCSM.2009.030910

International Journal of Computing Science and Mathematics, 2009 Vol.2 No.4, pp.291 - 307

Published online: 11 Jan 2010 *

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