Files and links (1)
SubmittedOpen Access (License Unspecified), Open
Journal article
CONVERGENCE OF THE BOUNDARY INTEGRAL METHOD FOR INTERFACIAL STOKES FLOW
Mathematics of computation
15 Nov 2022
Abstract
Boundary integral numerical methods are among the most accurate methods for interfacial Stokes flow, and are widely applied. They have the advantage that only the boundary of the domain must be discretized, which reduces the number of discretization points and allows the treatment of complicated interfaces. Despite their popularity, there is no analysis of the convergence of these methods for interfacial Stokes flow. In practice, the stability of discretizations of the boundary integral formulation can depend sensitively on details of the discretization and on the application of numerical filters. We present a convergence analysis of the boundary integral method for Stokes flow, focusing on a rather general method for computing the evolution of an elastic capsule or viscous drop in 2D strain and shear flows. The analysis clarifies the role of numerical filters in practical computations.
Metrics
Details
- Title
- CONVERGENCE OF THE BOUNDARY INTEGRAL METHOD FOR INTERFACIAL STOKES FLOW
- Creators
- David M. Ambrose - Drexel UniversityMichael Siegel - New Jersey Institute of TechnologyKeyang Zhang - New Jersey Institute of Technology
- Publication Details
- Mathematics of computation
- Publisher
- Amer Mathematical Soc
- Number of pages
- 54
- Grant note
- DMS-1907684; DMS-1909407 / NSF grant; National Science Foundation (NSF)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000885916500001
- Scopus ID
- 2-s2.0-85145930050
- Other Identifier
- 991019327213704721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics, Applied