Phillips, T.N. and Williams, A.J. (2000) A semi-Lagrangian finite volume method for Newtonian contraction flows. SIAM Journal on Scientific Computing, 22 (6). pp. 2152-2177. ISSN 1064-8275 (Print), 1095-7197 (Online) (doi:https://doi.org/10.1137/S1064827599365288)

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Abstract

A new finite volume method for solving the incompressible Navier--Stokes equations is presented. The main features of this method are the location of the velocity components and pressure on different staggered grids and a semi-Lagrangian method for the treatment of convection. An interpolation procedure based on area-weighting is used for the convection part of the computation. The method is applied to flow through a constricted channel, and results are obtained for Reynolds numbers, based on half the flow rate, up to 1000. The behavior of the vortex in the salient corner is investigated qualitatively and quantitatively, and excellent agreement is found with the numerical results of Dennis and Smith [Proc. Roy. Soc. London A, 372 (1980), pp. 393-414] and the asymptotic theory of Smith [J. Fluid Mech., 90 (1979), pp. 725-754].

Item Type:	Article
Additional Information:	[1] First published: 2000. [2] Published online: 25 July 2006.
Uncontrolled Keywords:	semi-Lagrangian approach, Navier-Stokes, finite volume method, contraction geometry, staggered mesh, SIMPLER algorithm
Subjects:	Q Science > QA Mathematics > QA76 Computer software T Technology > T Technology (General)
Pre-2014 Departments:	School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group
Related URLs:	Publisher Publisher
Last Modified:	14 Oct 2016 09:00
URI:	http://gala.gre.ac.uk/id/eprint/332

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