| Author | Message | ||
     Terry J. Hilsabeck (tjhilsabeck) New member Username: tjhilsabeck Post Number: 1 Registered: 08-2003 |
Why is FlexPDE restricted to low Reynolds numbers? Is there some way to extend the solution space? | ||
| Robert G. Nelson (rgnelson) Moderator Username: rgnelson Post Number: 22 Registered: 06-2003 |
FlexPDE imposes no restrictions on the PDE system the user can pose. It's just that in some regimes, the velocity-pressure formulation of the Navier-Stokes equations can become difficult to solve, and fall into a long, grinding attempt to settle on a solution. This happens when the Reynolds number becomes large. We are not fluid dynamicists, and I cannot give you a mathematical reason for this difficulty. In the high Reynolds number regime, the equations are dominated by the momentum terms, and I suspect that the equations will support many turbulent solutions, making the system non-unique. There are many ways to formulate flow equations, and I suspect that other formulations, possibly with different fundamental variables, will work successfully in the high Reynolds number regime. I just can't tell you what those formulations are. |