Improved finite difference schemes for transonic potential calculationsEngquist and Osher (1980) have introduced a finite difference scheme for solving the transonic small disturbance equation, taking into account cases in which only compression shocks are admitted. Osher et al. (1983) studied a class of schemes for the full potential equation. It is proved that these schemes satisfy a new discrete 'entropy inequality' which rules out expansion shocks. However, the conducted analysis is restricted to steady two-dimensional flows. The present investigation is concerned with the adoption of a heuristic approach. The full potential equation in conservation form is solved with the aid of a modified artificial density method, based on flux biasing. It is shown that, with the current scheme, expansion shocks are not possible.
Document ID
19840036444
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Hafez, M. (Computer Dynamics, Inc. Virginia Beach, VA, United States)
Osher, S. (California, University Los Angeles, CA, United States)
Whitlow, W., Jr. (NASA Langley Research Center Unsteady Aerodynamics Branch, Hampton, VA, United States)