A Navier-Stokes Solution for Transonic Flow through a Cascade.
Abstract
In this study, several questions relevant to the viscous transonic cascade problem are posed and answered by considering simple flow situations. These questions focus upon spatial differencing, specification of boundary conditions and use of artificial dissipation in flows containing shock waves. In regard to the first of these problems, the model problem clearly shows that converged solutions can be obtained using spatial central difference representations in both subsonic and supersonic portions of the flow. A study of boundary conditions in a simple one-dimensional problem indicateds that for flows having subsonic inflow and outflow conditions, specifications of total pressure on the upstream boundary and static pressure on the downstream boundary is satisfactory and physically realistic. Finally, various methods of calculating flows with shock waves were considered by solving a one-dimensional flow problem with heat sources. Among the methods considered for obtaining stable solutions in the presence of shocks were second-order dissipation methods, fourth-order dissipation methods and pressure damping methods. The results obtained in this model problem indicate that with the envisaged grids, second-order dissipation with a relatively low dissipation sigma = approx. .025, is suitable method for use in transonic flow problems. Based upon these preliminary studies, a calculation was made of flow through a cascade of Jose Sanz airfoils.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1982
- Accession Number
- ADA111540
Entities
People
- H. Mcdonald
- S. J.. Shamroth
- W. R. Briley