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Artículo

An oscillation-free flow solver based on flux reconstruction

Aguerre, Horacio JavierIcon ; Pairetti, César IgnacioIcon ; Venier, César MartínIcon ; Marquez Damian, SantiagoIcon ; Nigro, Norberto MarceloIcon
Fecha de publicación: 07/2018
Editorial: Academic Press Inc Elsevier Science
Revista: Journal of Computational Physics
ISSN: 0021-9991
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Otras Ingeniería Mecánica

Resumen

In this paper, a segregated algorithm is proposed to suppress high-frequency oscillations in the velocity field for incompressible flows. In this context, a new velocity formula based on a reconstruction of face fluxes is defined eliminating high-frequency errors. In analogy to the Rhie–Chow interpolation, this approach is equivalent to including a flux-based pressure gradient with a velocity diffusion in the momentum equation. In order to guarantee second-order accuracy of the numerical solver, a set of conditions are defined for the reconstruction operator. To arrive at the final formulation, an outlook over the state of the art regarding velocity reconstruction procedures is presented comparing them through an error analysis. A new operator is then obtained by means of a flux difference minimization satisfying the required spatial accuracy. The accuracy of the new algorithm is analyzed by performing mesh convergence studies for unsteady Navier–Stokes problems with analytical solutions. The stabilization properties of the solver are then tested in a problem where spurious numerical oscillations arise for the velocity field. The results show a remarkable performance of the proposed technique eliminating high-frequency errors without losing accuracy.
Palabras clave: COLLOCATED GRIDS , FINITE VOLUME METHOD , FLUX RECONSTRUCTION , SEGREGATED METHOD , VELOCITY OSCILLATIONS
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/86165
URL: http://linkinghub.elsevier.com/retrieve/pii/S0021999118301931
DOI: http://dx.doi.org/10.1016/j.jcp.2018.03.033
Colecciones
Articulos(CIMEC)
Articulos de CENTRO DE INVESTIGACION DE METODOS COMPUTACIONALES
Citación
Aguerre, Horacio Javier; Pairetti, César Ignacio; Venier, César Martín; Marquez Damian, Santiago; Nigro, Norberto Marcelo; An oscillation-free flow solver based on flux reconstruction; Academic Press Inc Elsevier Science; Journal of Computational Physics; 365; 7-2018; 135-148
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