An efficient numerical method for the solution of the 2-d incompressible navier-stokes equations

• José M. Jacob ^[1] ; Luis Eça ^[2]
  1. [1] Departament de Matemática Aplicada I, ETSEIB, FARO, Portugal
  2. [2] Department of Mechanical Engineering, Instituto Superior Técnico, Lisboa, Portugal
• Localización: Métodos Numéricos en Ingeniería: [Comunicaciones presentadas al IV Congreso de Métodos Numéricos en Ingeniería celebrado en Sevilla durante los días 7-10 de Junio de 1999] / R. Abascal (ed. lit.), José Domínguez Abascal (ed. lit.), G. Bugeda (ed. lit.), 1999, ISBN 84-89925-45-3
• Idioma: inglés
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• Resumen

  • This paper presents a numerical method for the solution of the 2-D incompressible Navier-Stokes equations. The continuity equation is solved in its original form without any modi cation. The method uses a nite-di erence discretization of the continuity and momentum equations, written in Contravariant form on a boundary- tted curvilinear grid. A collocated grid is adopted and a coupled solution procedure is applied to the system of algebraic equations. The method is tested in two benchmark test cases of incompressible flow: the driven cavity flow and the flow over a backward facing step at typical Reynolds numbers of laminarflow. The results con rm the viability and accuracy of the present approach.