Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Physics
Boundary Integral Equation Methods For Superhydrophobic Flow And Integrated Photonics, Kosuke Sugita
Boundary Integral Equation Methods For Superhydrophobic Flow And Integrated Photonics, Kosuke Sugita
Dissertations
This dissertation presents fast integral equation methods (FIEMs) for solving two important problems encountered in practical engineering applications.
The first problem involves the mixed boundary value problem in two-dimensional Stokes flow, which appears commonly in computational fluid mechanics. This problem is particularly relevant to the design of microfluidic devices, especially those involving superhydrophobic (SH) flows over surfaces made of composite solid materials with alternating solid portions, grooves, or air pockets, leading to enhanced slip.
The second problem addresses waveguide devices in two dimensions, governed by the Helmholtz equation with Dirichlet conditions imposed on the boundary. This problem serves as a …