Stability analysis of intermediate boundary conditions in approximate factorization schemesIn many cases, approximate factorization schemes have provided a significant increase in efficiency over previously used solution methods in certain problems. The present investigation is concerned with the importance of intermediate boundary conditions in approximate factorization schemes, taking into account a specific example regarding a boundary-induced stability restriction in a scheme for the transonic full-potential equation. The considered scheme has been discussed by Holst (1979). Holst's scheme is a variation of the AF2 schemes described by Ballhaus and Steger (1975). The application of the AF2 scheme to the two-dimensional Laplace equation in a rectangle is studied giving attention to the stability of the scheme in connection with various boundary conditions for the intermediate variable.
Document ID
19830058185
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
South, J. C., Jr. (NASA Langley Research Center Hampton, VA, United States)
Hafez, M. M. (NASA Langley Research Center Hampton; Computer Dynamics, Inc., Virginia Beach, VA, United States)