Shock-fitting for Full Potential Equation

Download or read book Shock-fitting for Full Potential Equation written by M. M. Hafez and published by . This book was released on 1978 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this report a procedure is considered for fitting shock waves in transonic type-dependent finite-difference relaxation calculations by using the full potential equation. The iterative line relaxation method for transonic finite-difference (rotated or conservative schemes) calculations can be described by a time-dependent equation. The shock-fitting algorithm presented here depends on this unsteady equation. Written in conservative form, the jump condition is derived in terms of shock speed. In the steady-state limit, shock speed vanishes, and the steady shock polar is retained. In this way the jump conditions are imposed iteratively and in a manner consistent with the relaxation procedure that is used everywhere else in the flow field. Preliminary results for axisymmetric flows around a sphere are presented. Application of the algorithm to small-disturbance calculations are discussed in the appendix. (Author).