creator Kuang, Yin advisor Li, Xiaofan spectrally accurate boundary integral method is developed for solving the velocity of the film flow with suspended particles down an inclined plane in Stokes flow. The problem is a two-dimensional gravity-driven film flow with a rigid particle flowing down an inclined plane. We present the governing equations and the numerical methods for solving it with the help of periodic Green’s function. To obtain the system of discretized equations, we discuss the smoothness of each integrand appearing in the boundary integral formulation and use the composite trapezoidal rule for smooth periodic integrands to achieve the spectral accuracy. For the weakly singular integral, we approximate it by a special spectrally accurate quadrature. The Krylov subspace iterative method GMRES is employed to solve the resulting linear system. This method can be also applied to compute the velocity of interface in some other cases of film flow. Submitted by Dana Lamparello (dlampare@iit.edu) on 2012-02-29T16:27:46Z No. of bitstreams: 2 Thesis. Yin Kuang A20244984.pdf: 113440 bytes, checksum: ef8570651cb551a33d421cf7f486d1cb (MD5) Tittle with advisor's signature.pdf: 21144 bytes, checksum: 3d50711782e1e9fd460c3f13060364d5 (MD5) Made available in DSpace on 2012-02-29T16:27:46Z (GMT). No. of bitstreams: 2 Thesis. Yin Kuang A20244984.pdf: 113440 bytes, checksum: ef8570651cb551a33d421cf7f486d1cb (MD5) Tittle with advisor's signature.pdf: 21144 bytes, checksum: 3d50711782e1e9fd460c3f13060364d5 (MD5) Previous issue date: 2011-05 M.S. in Applied Mathematics, May 2011 2011-04-18 2011-05 http://hdl.handle.net/10560/2524 en Thesis born digital application/pdf In Copyright http://rightsstatements.org/page/InC/1.0/ Restricted Access MATH / Applied Mathematics Illinois Institute of Technology Affiliated department