EFFICIENT NUMERICAL-METHOD FOR SIMULATION OF SUPERSONIC VISCOUS-FLOW PAST A BLUNTED BODY AT A SMALL-ANGLE OF ATTACK

For solving the three-dimensional (3-D) full viscous shock-layer (FVSL ) equations in a body-oriented coordinate system, an asymptotic method is used with the angle of attack as a small parameter. In using a sma ll parameter method, the (3-D) FVSL system is separated into an axisym metric set and a linear 2-D set of equations. The method of global ite rations was used to solve both the axisymmetric and linearized sets of equations. Global iterations were carried out on the pressure gradien t tangential component and on the shock wave angle. The method is used uniformly for both the blunted and conic parts of the body. The shock wave angle was found by using the Rankine-Hugoniot boundary condition for the normal component of the velocity. A computational grid adapte d to the solution was used in solving both systems of equations. The c omparison of this approach with 3-D implicit time-marching methods sho ws that the time necessary for the calculation in the 3-D case is abou t 100 times less, while the accuracy of the calculations is essentiall y the same. Also, the small parameter method enables one to find a one -parameter family of solutions; the parameter in question is the angle of attack.