The problem of a hypersonic blunt body flow in two space dimensions is considered. The governing inhomogeneous Euler equations are given and the special treatment of calorically non-perfect gas in chemical non-equilibrium is described. The chemical model is given. The problem of the arising chemical boundary layer is discussed. Analytical and numerical investigations are used to analyse this boundary layer and to get error estimates for ...

The Riemann problem for two-dimensional gas dynamics with isentropic and polytropic gas is considered. The initial data is constant in each quadrant and chosen so that only a rarefaction wave, shock wave or slip line connects two neighboring constant initial states. With this restriction sixteen (resp. fifteen) genuinely different wave combinations for isentropic (resp. polytropic) gas exist. For each configuration the numerical solution ...

The numerical integration of stiff mechanical systems is studied in which a strong potential forces the motion to remain close to a manifold. The equations of motion are written as a singular singular perturbation problem with a small stiffness parameter $\epsilon$. Smooth solutions of such systems are characterized, in distinction to highly oscillatory general solutions. Implicit Runge-Kutta methods using step sizes larger than $\epsilon$ ...

We show, by way of an example, that the solution of a system of hyperbolic conservation laws exhibits an unexpected behavior if a source term is present. The example is the system of Euler equations for N species in two space dimensions. If the source term is not present and in the initial and inflow conditions a fixed mixture of species is prescribed then the solution basically behaves like the flow of an ideal gas, except that there are ...