000014711 001__ 14711
000014711 005__ 20161115100159.0
000014711 04107 $$aeng
000014711 046__ $$k2016-08-21
000014711 100__ $$aZhao, Meng
000014711 24500 $$aAn efficient adaptive rescaling scheme for computing Hele-Shaw problems

000014711 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014711 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014711 506__ $$arestricted
000014711 520__ $$2eng$$aIn this paper, we present an efficient rescaling scheme for computing moving interface problems. The idea is to design an adaptive time—space mapping such that in the new time scale, the interfaces can evolve logarithmic fast for small—sized interface at early stage of growth and exponentially fast for large—sized interface at later times. During the evolution, the new spatial scale guarantees the conservation of the area/volume enclosed by the interface. Comparing with the original rescaling idea in [3], this adaptive scheme dramatically improves the slow growth at early times when the interface size is small. Our results show that the original three—week computation in [3] can be done in just four days using the adaptive scheme.

000014711 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014711 653__ $$a

000014711 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014711 720__ $$aZhao, Meng
000014711 8560_ $$ffischerc@itam.cas.cz
000014711 8564_ $$s178332$$uhttps://invenio.itam.cas.cz/record/14711/files/TS.FM13-2.04.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1348, code TS.FM13-2.04
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000014711 962__ $$r13812
000014711 980__ $$aPAPER