서브메뉴
검색
Median Filters for Multiphase Interfacial Motions
Median Filters for Multiphase Interfacial Motions
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202105221
- ISBN
- 9798291566237
- DDC
- 510
- 저자명
- Guo, Jiajia.
- 서명/저자
- Median Filters for Multiphase Interfacial Motions
- 발행사항
- [Sl] : University of Michigan, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 127 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-02, Section: B.
- 주기사항
- Advisor: Esedoḡlu, Selim;Shahani, Ashwin J.
- 학위논문주기
- Thesis (Ph.D.)--University of Michigan, 2025.
- 초록/해제
- 요약In this thesis, we investigate and enhance two types of algorithms-threshold dynamics and level set methods-for simulating the mean curvature motion of interface networks under varying surface tensions and mobility conditions. This motion can be understood as an L2 gradient descent of an energy functional, where the "area" of interfaces is weighted by functions that depend on surface tensions. Our ultimate objective is to develop robust and efficient algorithms to simulate these interfacial dynamics effectively.The core contribution of this thesis is the establishment of a precise connection between median filter (sorting-based) level set schemes and threshold dynamics. This connection facilitates the development of level set methods informed by recent advances in threshold dynamics, enabling simulation of the mean curvature motion of interface networks under varying surface tension and mobility conditions. We then extend these median filters to an anisotropic wetting/dewetting scenario where one of the three phases remains stationary while triple junctions form at their intersections. This scenario serves as a testbed for examining complex triple junction conditions due to anisotropy. Numerical evidence supports the correct angle condition at these junctions, encouraging further exploration into fully anisotropic multiphase flow dynamics.Additionally, building on this connection between level set methods and threshold dynamics, we develop a median filter scheme that is second-order accurate in time and monotone, ensuring convergence to viscosity solutions within established theoretical frameworks.
- 일반주제명
- Mathematics
- 일반주제명
- Applied mathematics
- 일반주제명
- Computational physics
- 키워드
- Median filters
- 키워드
- Monotone scheme
- 키워드
- High order
- 기타저자
- University of Michigan Applied and Interdisciplinary Mathematics
- 기본자료저록
- Dissertations Abstracts International. 87-02B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
008260126s2025 us c eng d■001000017359829
■00520260202105221
■006m o d
■007cr#unu||||||||
■020 ▼a9798291566237
■035 ▼a(MiAaPQ)AAI32271805
■035 ▼a(MiAaPQ)umichrackham006337
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aGuo, Jiajia.
■24510▼aMedian Filters for Multiphase Interfacial Motions
■260 ▼a[Sl]▼bUniversity of Michigan▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a127 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-02, Section: B.
■500 ▼aAdvisor: Esedoḡlu, Selim;Shahani, Ashwin J.
■5021 ▼aThesis (Ph.D.)--University of Michigan, 2025.
■520 ▼aIn this thesis, we investigate and enhance two types of algorithms-threshold dynamics and level set methods-for simulating the mean curvature motion of interface networks under varying surface tensions and mobility conditions. This motion can be understood as an L2 gradient descent of an energy functional, where the "area" of interfaces is weighted by functions that depend on surface tensions. Our ultimate objective is to develop robust and efficient algorithms to simulate these interfacial dynamics effectively.The core contribution of this thesis is the establishment of a precise connection between median filter (sorting-based) level set schemes and threshold dynamics. This connection facilitates the development of level set methods informed by recent advances in threshold dynamics, enabling simulation of the mean curvature motion of interface networks under varying surface tension and mobility conditions. We then extend these median filters to an anisotropic wetting/dewetting scenario where one of the three phases remains stationary while triple junctions form at their intersections. This scenario serves as a testbed for examining complex triple junction conditions due to anisotropy. Numerical evidence supports the correct angle condition at these junctions, encouraging further exploration into fully anisotropic multiphase flow dynamics.Additionally, building on this connection between level set methods and threshold dynamics, we develop a median filter scheme that is second-order accurate in time and monotone, ensuring convergence to viscosity solutions within established theoretical frameworks.
■590 ▼aSchool code: 0127.
■650 4▼aMathematics
■650 4▼aApplied mathematics
■650 4▼aComputational physics
■653 ▼aMedian filters
■653 ▼aThreshold dynamics
■653 ▼aLevel set methods
■653 ▼aMonotone scheme
■653 ▼aMultiphase interfacial motions
■653 ▼aHigh order
■690 ▼a0405
■690 ▼a0216
■690 ▼a0364
■71020▼aUniversity of Michigan▼bApplied and Interdisciplinary Mathematics.
■7730 ▼tDissertations Abstracts International▼g87-02B.
■790 ▼a0127
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359829▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
