Relaxation and approximate factorization methods for the unsteady full potential equationThe unsteady form of the full potential equation is solved in conservation form, using implicit methods based on approximate factorization and relaxation schemes. A local time linearization for density is introduced to enable solution to the equation in terms of phi, the velocity potential. A novel flux-biasing technique is applied to generate proper forms of the artificial viscosity, to treat hyperbolic regions with shocks and sonic lines present. The wake is properly modeled by accounting not only for jumps in phi, but also for jumps in higher derivatives of phi obtained from requirements of density continuity. The far field is modeled using the Riemann invariants to simulate nonreflecting boundary conditions. Results are presented for flows over airfoils, cylinders, and spheres. Comparisons are made with available Euler and full potential results.
Document ID
19840062208
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Shankar, V. (Rockwell International Science Center Thousand Oaks, CA, United States)
Ide, H. (Rockwell International Science Center Thousand Oaks, CA, United States)
Gorski, J. (Rockwell International Science Center Thousand Oaks, CA, United States)