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Parallel Contact-Aware Algorithms for Large-Scale Direct Blood Flow Simulations
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Parallel Contact-Aware Algorithms for Large-Scale Direct Blood Flow Simulations. |
| 개인저자 | Lu, Libin. |
| 단체저자명 | New York University. Computer Science. |
| 발행사항 | [S.l.]: New York University., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 177 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-03B. Dissertation Abstract International |
| ISBN | 9781085671088 |
| 학위논문주기 | Thesis (Ph.D.)--New York University, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-03, Section: B.
Advisor: Zorin, Denis. |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | Experimental and theoretical evidence suggests that blood flow can be well approximated by a model of a Newtonian fluid and deformable particles representing the red blood cells. We use a well-established boundary integral formulation for the problem as the foundation of our approach.This type of formulations, with a high-order spatial discretization and an implicit and adaptive time discretization, have been shown to be able to handle complex interactions between particles with high accuracy. Yet, for dense suspensions, very small time-steps or expensive implicit solves as well as a large number of discretization points are required to avoid non-physical contact and intersections between particles, leading to infinite forces and numerical instability. Given the importance of vesicle flows, in this thesis we focus in efficient numerical methods for such problems: we present computationally parallel-scalable algorithms for the simulation of dense deformable vesicles in two and three dimensions both in free space and confined domain.Our method maintains the accuracy of previous methods at a significantly lower cost for dense suspensions and the time step size is independent from the volume fraction. The key idea is to ensure interference-free configuration by introducing explicit contact constraints into the system. While such constraints are unnecessary in the formulation, in the discrete form of the problem, they make it possible to eliminate catastrophic loss of accuracy by preventing contact explicitly. Introducing contact constraints results in a significant increase in stable time-step size for locally-implicit time-stepping, and a reduction in the number of points adequate for stability. Our method permits simulations with high volume fractions |
| 일반주제명 | Computer science. Applied mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
