Higher-Order Computational Methods for Transonic Wing/Body Flowfields.
Abstract
This report presents the development of high-order finite-difference schemes for application to transonic wing-body flow calculations. These schemes treat supersonic flows and shocks more accurately than most existing schemes. A transformed full potential equation in a general curvilinear coordinate system is derived, and higher-order operators are introduced. A new shock-point operator produces Mach number jumps at a shock that agree reasonably well with Rankine-Hugoniot values. Second-, and third-order, quasi-conservative, and fully conservative schemes are thereby developed for general geometries where flow directions can be approximately aligned with coordinate lines in supersonic regions. The fully conservative schemes are developed by modifying an existing finite-volume algorithm, while the quasi-conservative schemes are developed by solving the transformed full potential equation directly with the addition of the second- and third-order artificial viscosities at supersonic points, and the corresponding first- and second-order shock-point operators at shock points. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 30, 1982
- Accession Number
- ADA124079
Entities
People
- Larry Chen