This study details the derivation and application of an approximate Ri
emann solver of the Roe type specifically designed for the numerical s
imulation of inviscid and viscous now problems involving general and v
irtually arbitrary mixtures of thermally perfect gases in local chemic
al equilibrium. The solution procedure is by no means limited to airfl
ows and will be applied to an oxygen/hydrogen mixture as well. A ''bla
ck box'' solver for the local equilibrium composition of a gas mixture
of known density and internal energy is coupled with the now solver,
which is based on the newly derived flux-difference-split technique. A
few test cases, including both external and internal flows, illustrat
e the capabilities and the overall efficiency of the flow solver.