The conservation of mass, momentum and energy of a nonstationary compressible viscous
flow is described through the Navier-Stokes equation of gas dynamic.
These equation are given in conservative form:
Finite Volume Method
We discretize the system of the compressible Navier-Stokes equations by an explicit first order
finite volume scheme with a suitable Riemann solver for the convective terms.
The finite volume scheme for this system can be written as:
AUSMDV Riemann solver
A flux splitting scheme (AUSMDV) is recognized as an improved advection
upstream splitting method (AUSM) by Liou and Steffen.
The AUSMDV is a mixture of AUSMD and AUSMV, which will be defined in the
following.
