Marching method for solving steady simplified Navier-Stokes equations
Abstract
The present study considers the numerical solution of problems of aerodynamics on the basis of simplified viscous-gas equations, and analyzes the correctness of the equations and the accuracy of the method. An economical iterative method for solving the simplified Navier-Stokes equations is proposed based on splitting with respect to physical processes and spatial directions. Numerical solutions obtained with the proposed method are compared with solutions of the boundary layer equations and of the complete Navier-Stokes equations. The accuracy of the proposed model and iterative scheme is verified by calculating the flow of a viscous compressible heat-conducting gas past a flat plate at various hypersonic Mach numbers. The applicability of the proposed method to three-dimensional flows is considered.
- Publication:
-
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
- Pub Date:
- October 1983
- Bibcode:
- 1983ZVMMF..23.1186K
- Keywords:
-
- Computational Fluid Dynamics;
- Hypersonic Flow;
- Hypersonic Heat Transfer;
- Navier-Stokes Equation;
- Spatial Marching;
- Steady Flow;
- Blunt Bodies;
- Compressible Flow;
- Cones;
- Hypersonic Shock;
- Three Dimensional Flow;
- Viscous Flow;
- Fluid Mechanics and Heat Transfer