Shock-fitting for full potential equation /

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)."December 1978.""Final Report: January 1976 -- April 1978."Includes bibliograpic references (page 27).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).Report supported by the Air Force Systems Command and prepared by Flow Research Company, a Division of Flow Industries, Inc., Kent, Washington, under Program Element,Mode of access: Internet