Question 7 (10 Marks) a) b) (i) In computing the flow over a 2-D airfoil, a 'C' grid is generated to wrap around the airfoil as shown below. The grid coordinate

will be transform from (x,y) to (5.C). Where <= 0 is on the airfoil surface, and goes around the airfoil in the anti-clockwise direction. The corresponding Euler equation is as follow: аф ӘР ӘG + + = 0 ata aç (ii) (iii) Where: • =u . --0---- F = { ou ² + P }. and F= ( E [+1 P G = puv +P) At <= 1 i.e. on the airfoil surface, define the boundary condition to be used. At <= N i.e. on the outer field, define the boundary condition to be used. (ii) Formulate a control volume and explicit time numerical scheme to solve the above problem. Indicate clearly the control volume, control surfaces and their respective fluxes. c) (i) Appraise the accuracy of the numerical scheme in terms of spatial and temporal accuracy What is the appropriate stability criteria for the numerical method proposed. Propose 3 methods to verify and validate the result that would be computed by the numerical scheme