Application of the implicit MacCormack scheme to the PNS equationsThe two-dimensional parabolized Navier-Stokes equations are solved using MacCormack's (1981) implicit finite-difference scheme. It is shown that this method for solving the parabolized Navier-Stokes equations does not require the inversion of block tridiagonal systems of algebraic equations and allows the original explicit scheme to be employed in those regions where implicit treatment is not needed. The finite-difference algorithm is discussed and the computational results for two laminar test cases are presented. Results obtained using this method for the case of a flat plate boundary layer are compared with those obtained using the conventional Beam-Warming scheme, as well as those obtained from a boundary layer code. The computed results for a more severe test of the method, the hypersonic flow past a 15 deg compression corner, are found to compare favorably with experiment and a numerical solution of the complete Navier-Stokes equations.
Document ID
19830058181
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Lawrence, S. L. (Iowa State Univ. of Science and Technology Ames, IA, United States)
Tannehill, J. C. (Iowa State University of Science and Technology, Ames, IA, United States)
Chaussee, D. S. (NASA Ames Research Center Moffett Field, CA, United States)