Forms of the generalised Navier-Stokes equations
Abstract
The governing equations of fluid dynamics in general co-ordinates are reviewed, and forms particularly suitable for efficient numerical solution are presented. Methods are given, both for compressible and incompressible flow, of eliminating explicit use of the connection coefficients and transformation matrix elements from the computations. Special problems associated with spatially varying viscosity and with eddy-viscosity turbulence models are also discussed.
- Publication:
-
Journal of Engineering Mathematics
- Pub Date:
- September 1984
- DOI:
- 10.1007/BF00039190
- Bibcode:
- 1984JEnMa..18..219V
- Keywords:
-
- Computational Fluid Dynamics;
- Coordinate Transformations;
- Navier-Stokes Equation;
- Cartesian Coordinates;
- Compressible Flow;
- Conservation Laws;
- Eddy Viscosity;
- Incompressible Flow;
- Scalars;
- Tensor Analysis;
- Turbulence Models;
- Fluid Mechanics and Heat Transfer