Computation of General Two-Dimensional Steady Viscous Flows,
Abstract
In a previous report it was shown that a code based on the biharmonic formulation of the Navier-Stokes equations with the corresponding Newtonized difference equations solved by a direct band solver could be quite competitive in situations where considerably more grid points are used in one direction than in the other, such as flow in a long channel. The main advantages of this approach are that it is straightforward and robust. Both of these terms are subjective of course. To justify the first we may summarize the approach as follows: From derivative coefficients generated for the x and y variable grids we can immediately write down the difference equations and it is then a simple matter to write down the Newton equations. The coefficients are stored by diagonals as required by the band solver and the righthand sides computed, then the Newton corrections are obtained by calls to the band solver. Also the uniformity of the approach used for introducing the boundary conditions in section 4 simplifies the treatment of a wide variety of boundary conditions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1981
- Accession Number
- ADA105232
Entities
People
- P. G. Williams
- Tuncer Cebeci
Organizations
- Douglas