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

Autor(es)

Serson, D. ^{[1, 2]} ; Meneghini, J. R. ^[2] ; Sherwin, S. J. ^[1]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Journal of Computational Physics; v. 316, p. 243-254, JUL 1 2016.
• Citações Web of Science: 5
• Assunto(s): Simulação numérica Velocidade do fluxo dos fluidos Equações de Navier-Stokes

Resumo

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)

• Processo FAPESP: 14/50279-4 - Brasil Research Centre for Gas Innovation
• Beneficiário: Julio Romano Meneghini
• Linha de fomento: Auxílio à Pesquisa - Programa Centros de Pesquisa em Engenharia
• Processo FAPESP: 12/23493-0 - Estudo numérico de asas com bordos de ataque e de fuga ondulados
• Beneficiário: Douglas Serson
• Linha de fomento: Bolsas no Brasil - Doutorado Direto