شبيه سازي عددي جريان تقارن محوري مافوق صوت لزج بر روي دماغه سرپخ با استفاده از روش اختلاف محدود مرتبه چهارم قطري شده

NUMERICAL SIMULATION OF AXISYMMETRIC SUPERSONIC VISCOUS FLOW OVER BLUNT CONE BY USING DIAGONAL FOURTH ORDER FINITE DIFFERENCE METHOD

In this paper, by using diagonal fourth order central difference method and TLNS equations, the numerical solution of the steady viscous supersonic axisymmetric flow is implemented over blunt cone with shock-fitting method. Because of using high order terms of Taylor series in discretization of derivation, this method has high accuracy and low numerical error (dispersion error) with respect to low order method. Boundary-closure scheme has an important role in stability of this method. By Using coarse grid in this method, the results of numerical solution is very close to fine grid of implicit second order (Beam & Warming) method. High accuracy of this method is more visible than second order method when the grid is being fined. The convergence rate of this method is higher than second order method. This method can be converged to the machine accuracy.