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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Velocity-correction schemes for the incompressible Navier-Stokes equations in general coordinate systems

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Serson, D. [1, 2] ; Meneghini, J. R. [2] ; Sherwin, S. J. [1]
Total Authors: 3
[1] Univ London Imperial Coll Sci Technol & Med, Dept Aeronaut, South Kensington Campus, London SW7 2AZ - England
[2] Univ Sao Paulo, Escola Politecn, NDF, Ave Prof Mello Moraes 2231, BR-05508030 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Computational Physics; v. 316, p. 243-254, JUL 1 2016.
Web of Science Citations: 5

This paper presents methods of including coordinate transformations into the solution of the incompressible Navier-Stokes equations using the velocity-correction scheme, which is commonly used in the numerical solution of unsteady incompressible flows. This is important when the transformation leads to symmetries that allow the use of more efficient numerical techniques, like employing a Fourier expansion to discretize a homogeneous direction. Two different approaches are presented: in the first approach all the influence of the mapping is treated explicitly, while in the second the mapping terms related to convection are treated explicitly, with the pressure and viscous terms treated implicitly. Through numerical results, we demonstrate how these methods maintain the accuracy of the underlying high-order method, and further apply the discretisation strategy to problems where mixed Fourier-spectral/hp element discretisations can be applied, thereby extending the usefulness of this discretisation technique. (C) 2016 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license. (AU)

FAPESP's process: 14/50279-4 - Brasil Research Centre for Gas Innovation
Grantee:Julio Romano Meneghini
Support type: Research Grants - Research Centers in Engineering Program
FAPESP's process: 12/23493-0 - Numerical study of wings with wavy leading and trailing edges
Grantee:Douglas Serson
Support type: Scholarships in Brazil - Doctorate (Direct)