Abstract
Hele-Shaw flow with suction for an incompressible fluid in a porous medium is introduced as a nontrivial model problem for two-dimensional transient free boundary problems. In this model an initially smooth free boundary can move with unbounded velocities and develop cusps. Two analytic solutions are worked out for a special geometry with which numerical results can be compared. It is then shown that the method of lines can reasonably well reproduce the analytic solutions, although at the expense of long computer times. Some strategies for improving the efficiency of the method of lines, including a multi-grid method, are described.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
