NTRS - NASA Technical Reports Server

Back to Results
Upwind algorithm for the parabolized Navier-Stokes equationsA new upwind algorithm based on Roe's scheme has been developed to solve the two-dimensional parabolized Navier-Stokes equations. This method does not require the addition of user-specified smoothing terms for the capture of discontinuities such as shock waves. Thus, the method is easy to use and can be applied without modification to a wide variety of supersonic flowfields. The advantages and disadvantages of this adaptation are discussed in relation to those of the conventional Beam-Warming (1978) scheme in terms of accuracy, stability, computer time and storage requirements, and programming effort. The new algorithm has been validated by applying it to three laminar test cases, including flat-plate boundary-layer flow, hypersonic flow past a 15-deg compression corner, and hypersonic flow into a converging inlet. The computed results compare well with experiment and show a dramatic improvement in the resolution of flowfield details when compared with results obtained using the conventional Beam-Warming algorithm.
Document ID
Document Type
Reprint (Version printed in journal)
Lawrence, Scott L. (Iowa State Univ. of Science and Technology Ames, IA, United States)
Tannehill, John C. (Iowa State University of Science and Technology, Ames, United States)
Chausee, Denny S. (NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 14, 2013
Publication Date
September 1, 1989
Publication Information
Publication: AIAA Journal
Volume: 27
ISSN: 0001-1452
Subject Category
Funding Number(s)
Distribution Limits