Two 2-d versions of Hilgenstock type source term correction method are developed for elliptic 2-d body fitted grid generation with orthogonality and spacing controlled on boundaries. A 3-d version of Hilgenstock type source term correction method is presented and used in block structured elliptic grid generation with orthogonality control on interfaces and boundaries. The Euler solution of flows around a wing body tail combination in generated grid predicts reasonable flow phenomena and wing surface pressure distribution in agreement with experiments.

The parameters of one dimensional steady flow of a Van der Waals gas in a nozzle of variable cross section A(x) for isentropic and thermostatical expansion flow are obtained by numerical methods in this paper. The solutions are compared with the theorical solutions of pefect gas and the deviations of the Mach number, density, pressure and temperature ratios are obtained. The obtained conclusions is significative for directing the development of technology of cryogenic and hypersonic tunnels, and the design for rocket engine.

An implicit approximate factorization scheme(AF2) is employed in this paper to obtain the numerical solutions of TSD and TSTD equation.the numerical experiments show that:1.the solutions are nonunique for different initial φ.2.the solutions are nonunique for different relaxation factors or different accelerate parameters.