| Abstract: | In 43] a finite volume method for
reliable simulations of inviscid fluid flows at high as well as
low Mach numbers based on a preconditioning technique proposed by
Guillard and Viozat 14] is presented. In this paper
we describe an extension of the numerical scheme for computing
solutions of the Euler and Navier-Stokes equations. At first we
show the high resolution properties, accuracy and robustness of
the finite volume scheme in the context of a wide range of
complicated transonic and supersonic test cases whereby both
inviscid and viscous flow fields are considered. Thereafter, the
validity of the method in the low Mach number regime is proven by
means of an asymptotic analysis as well as numerical simulations.
Whereas in 43] the asymptotic analysis of the
scheme is focused on the behaviour of the continuous and discrete
pressure distribution for inviscid low speed simulations we prove
both the physical sensible discrete pressure field for viscous low
Mach number flows and the divergence free condition of the
discrete velocity field in the limit of a vanishing Mach number
with respect to the simulation of inviscid fluid flow. |
