Abstract
Shock-fitting is applied to relaxation solutions of transonic small-disturbance equations. Finite-difference algorithms expressing conservation laws across the discontinuity are introduced in a manner consistent with the type-sensitive difference schemes of Murman and Cole. Results are presented for flows involving embedded as well as bow shocks. Comparison with shock-capturing solutions based on the shock-point operator (SPO) is made for the same grid with comparable computation time. Substantial improvement in accuracy by the shockfitting is demonstrated for mesh size in the range of practical interest, the iteration convergence of shock-fitting solutions can also be improved with the use of acceleration algorithms based on the power method; a savings in computer time of a factor of four is demonstrated.
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