An Efficient Numerical Method for Three-Dimensional Hypersonic Flow
Abstract
The present paper presents an efficient algorithm for solving the unsteady Navier-Stokes equations. It is a line Gauss-Seidel relaxation implicit algorithm for three-dimensional flow. Such algorithms have shown very fast convergence properties for two-dimensional flow. The extension to three- dimensions a been troublesome. The proposed algorithm presented herein was developed to solve these difficulties. A computer program based upon this algorithm has been written to solve two-dimensional plane symmetric, axisymmetric or three-dimensional flow of a perfect gas, or a real gas model for air with five species (N2, 02, NO, N, 0) or seven species (N2, 02, NO, NO+, N, 0, e-). The program can simulate a gas in thermal equilibrium or in thermal nonequilibrium with two temperatures (Translational-Rotational and Vibrational) or three temperatures (Translational, Rotational, and Vibrational). Convergence to engineering accuracy is generally achieved in under a hundred time steps for both two- and three-dimensional flow. Provision is made within the program for a one or two equation turbulence model. Applications are presented to verify the code by comparison with experiment and flight tests. Finally, the numerically simulated flow about a hypersonic vehicle at Mach 25 in powered flight is presented.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1993
- Accession Number
- ADA272506
Entities
People
- Robert W. Macormack
Organizations
- Stanford University