| 123456789101112131415161718192021222324252627282930313233343536373839404142434445 |
- % Title: A Fast Convergent Boundary Integral Framework for Slender Bodies
- The dynamics of active and passive filaments in viscous fluids is frequently
- used as a model for many complex fluids in biological systems such as:
- microtubules which are involved in intracellular transport and cell division;
- flagella and cilia which aid in locomotion. The numerical simulation of such
- systems is generally based on slender-body theory which give asymptotic
- approximations of the solution. However, these methods are low-order and cannot
- enforce no-slip boundary conditions to high-accuracy, uniformly over the
- boundary. Boundary-integral equation methods which completely resolve the fiber
- surface have so far been impractical due to the prohibitive cost of current
- layer-potential quadratures for such high aspect-ratio geometries. In this talk,
- we will present new quadrature schemes which make such computations possible and
- new integral equation formulations which lead to well-conditioned linear systems
- upon discretization. WE will present numerical results to show the efficiency of
- our methods.
- % Text may not exceed 1500 characters, including spaces for this abstract.
- % What is entered here is interpreted as LaTeX and is used in our printed
- % program book. Use LaTeX commands to include math symbols.
- % Do not use any HTML.
- %
- % Please do not attempt complex TeX macros or font changing commands.
- %
- % You may use italics. Do not use ALL CAPS.
- %
- % Be aware that the text in this box will be interpreted as TeX, and that
- % "special characters"
- %
- % ( \ { } $ & # ^ _ % ~ ) need to be ESCAPED by prefixing a slash:
- % % becomes \%) to be properly interpreted.
- %
- % This box is for abstract text content only.
- % Do not include the \documentclass{}, \begin{document} or other
- % high-level commands.
- %
- % Do not include keywords, references or citations separately at the end
- % of the abstract. All citations must be within the abstract text in
- % general form "[Authorname, Title, etc]." Improper citations will be deleted.
|
