2005 • In Dick, Erik; Vierendeels, Jan; Vandevelde, Lieveet al. (Eds.) Proceedings of the 3rd International Conference on Advanced Computational Methods in Engineering (ACOMEN 2005)
low Mach number preconditioning; Finite Volume; Viscous flows
Abstract :
[en] This paper presents a cell-centered finite volume scheme for the solution of the three-
dimensional Navier-Stokes equations with low Mach number. The spatial discretization of
the advective terms is based on a quadratic reconstruction of the primitive variables from
the cell centers to the cell faces leading to a second order truncature error on unstructured
grids. The AUSM+up method is used. The viscous fluxes are evaluated on the cell faces
with a modification of Coirier’s diamond path to obtain at least a first order truncature
error even on very irregular grids. The system of non linear equations is solved by means
of a fully implicit pseudo-transient scheme. Each pseudo-time step is solved by a Newton-
GMRes procedure. A local preconditioning technique is used to scale the speed of sound
and to improve the system condition number for low Mach number and low cell Reynolds
number. The method is tested on 2D and 3D low Mach number laminar flows.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Vigneron, Didier ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > A&M
