A composite Level Set and Extended-Domain-Eigenfunction Method for simulating 2D Stokes flow involving a free surface
2013 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, Vol. 237, no 1, 389-402 p.Article in journal (Refereed) Published
In this paper, the Extended-Domain-Eigenfunction-Method (EDEM) is combined with the Level Set Method in a composite numerical scheme for simulating a moving boundary problem. The liquid velocity is obtained by formulating the problem in terms of the EDEM methodology and solved using a least square approach. The propagation of the free surface is effected by a narrow band Level Set Method. The two methods both pass information to each other via a bridging process, which allows the position of the interface to be updated. The numerical scheme is applied to a series of problems involving a gas bubble submerged in a viscous liquid moving subject to both an externally generated flow and the influence of surface tension.
Place, publisher, year, edition, pages
Elsevier , 2013. Vol. 237, no 1, 389-402 p.
BVPs, Elliptic operators, EDEM, Stokes equation, Level Set Method, Free boundary problem
National CategoryEngineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-85623DOI: 10.1016/j.cam.2012.06.009ISI: 000309847100033OAI: oai:DiVA.org:liu-85623DiVA: diva2:572064
Funding Agencies|Swedish Research Council||Australian Postgraduate Award||2012-11-262012-11-262012-11-26