A spectral projection method for the simulation of complex three-dimensional rotating flows

Isabelle Raspo (1) , Sandrine Hugues (1) , Eric Serre (1) , Anthony Randriamampianina (2) , Patrick Bontoux (1)

1 M2P2 - Modélisation et Simulation Numérique (en mécanique des fluides)
2 IRPHE - Institut de Recherche sur les Phénomènes Hors Equilibre

In this paper, we present an efficient projection method to solve the three-dimensional time-dependent incompressible Navier-Stokes equations in primitive variables formulation using spectral approximations. This method is based on a modification of the algorithm proposed by Goda [J. Comp. Phys. 30 (1979) 76]. It brings an improvement by introducing a preliminary step for the pressure in order to allow a temporal evolution of the normal pressure gradient at the boundaries. Its efficiency is brought to the fore by comparison with the Goda's algorithm. The modified projection method is then applied to the simulation of complex three-dimensional flows in rotating cavities, involving either a throughflow or a differential rotation.

Mots clés: Projection methods; Spectral approximations; Instabilities; Rotating systems

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Isabelle Raspo, Sandrine Hugues, Eric Serre, Anthony Randriamampianina, Patrick Bontoux. A spectral projection method for the simulation of complex three-dimensional rotating flows. Computers and Fluids, 2002, 31 (4-7), pp.745-767. ⟨10.1016/S0045-7930(01)00070-6⟩. ⟨hal-00833836⟩