| Author | Message | ||
     Sergey Garmashov (sergey) New member Username: sergey Post Number: 1 Registered: 02-2009 |
I would like to solve the problem of evolution of a non-equilibrium shape of a droplet to the equilibrium one. To do it I must have information on boundary curvature for using it in boundary conditions. For example, a simple 2-D case: The initial shape is an ellipse. Solving the 2-D diffusion equation with boundary conditions taking into account ellipse curvature and surface tension, I would like to obtain velocities of boundary points and then to find new shape with new mesh. Repeating this procedure, the evolution of the ellipse to the circle can be simulated. Can I solve this problem with FlexPDE? Is there experience of solving evolution problems taking into consideration capillary effects in FlexPDE? Thank you. | ||
| Robert G. Nelson (rgnelson) Moderator Username: rgnelson Post Number: 1216 Registered: 06-2003 |
I think you can. But I haven't done it before so you'll have to give me some time to work it out. In a moving mesh problem, the surrogate coordinates are available for differentiation, so it should be possible to use derivatives of the boundary-tangential component of grad(xm), etc to derive the curvature. | ||
| Sergey Garmashov (sergey) New member Username: sergey Post Number: 2 Registered: 02-2009 |
Thank you! I will try. |