Mathematics – Numerical Analysis
Scientific paper
2000-01-13
Mathematics
Numerical Analysis
24 pages, 12 Postscript figures, uses rotate.sty
Scientific paper
A model of unsteady filtration (seepage) in a porous medium with capillary retention is considered. It leads to a free boundary problem for a generalized porous medium equation where the location of the boundary of the water mound is determined as part of the solution. The numerical solution of the free boundary problem is shown to possess self-similar intermediate asymptotics. On the other hand, the asymptotic solution can be obtained from a non-linear boundary value problem. Numerical solution of the resulting eigenvalue problem agrees with the solution of the partial differential equation for intermediate times. In the second part of the work, we consider the problem of control of the water mound extension by a forced drainage.
Ingerman Eugene A.
Shvets Helen
No associations
LandOfFree
Numerical Investigation of a Dipole Type Solution for Unsteady Groundwater Flow with Capillary Retention and Forced Drainage does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Numerical Investigation of a Dipole Type Solution for Unsteady Groundwater Flow with Capillary Retention and Forced Drainage, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical Investigation of a Dipole Type Solution for Unsteady Groundwater Flow with Capillary Retention and Forced Drainage will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-360790