Immersed finite element method for solving Hele-Shaw equations헬레-쇼 방정식의 풀이를 위한 경계함유 유한 요소법

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We propose a new numerical method to solve Hele Shaw equation which is an moving interface problem. Since the interface between two different fluids moves along the velocity of the fluids, it is important to find the Darcy velocity from the pressure. Thus we enrich the immersed finite element space to find the pressure and Darcy velocity of the fluid. Then we apply weighted essentially non-oscillatory(WENO) schemes to update the interface.
Advisors
Kwak, Do Youngresearcher곽도영researcher
Description
한국과학기술원 :수리과학과,
Publisher
한국과학기술원
Issue Date
2019
Identifier
325007
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수리과학과, 2019.8,[iii, 32 p. :]

Keywords

Hele Shaw equation▼aimmersed finite element methods▼aenriched galerkin methods▼aweighted essentially non-oscillatory schemes▼amoving interface elliptic problem; 헬레 쇼 방정식▼a경계 함유 유한 요소법▼a강화 Galerkin 방법▼aWENO 방법▼a움직이는 경계 문제

URI
http://hdl.handle.net/10203/283000
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=875295&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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