An efficient numerical method for estimating the average free boundary velocity in an inhomogeneous Hele-Shaw problem

• PALUPI Irma

• POZAR Norbert

Abstract

We develop a numerical method to estimate the average speed of the free boundaryin a Hele-Shaw problem with periodic coefficients in both space and time. We test the accuracyof the method and present a few examples. We show numerical evidence of flat parts (facets)on the free boundary in the homogenization limit.

Journal

• The Science Reports of Kanazawa University

  The Science Reports of Kanazawa University 62 69-86, 2018

  Institute of Science and Engineering, Kanazawa University

Keywords

• Hele-Shaw problem
• numerical homogenization

Details

• CRID: 1390853650129178880
• NII Article ID: 120006629672
• DOI: 10.24517/00054028
• ISSN: 2433040X
• Web Site: http://hdl.handle.net/2297/00054028
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • CiNii Articles