ncku-talk2011-11-17

NCTS(South)/ NCKU Math Colloquium

DATE 2011-11-17　16:10-17:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER 賴明治教授（國立交通大學數學建模與科學計算研究中心主任）

TITLE A conservative scheme for solving the coupled surface-bulk convection-diffusion equations

ABSTRACT Many problems in biological, physical and material sciences involve solving partial differential equations in complex domains or deformable interfaces. In particular, the underlying material quantities in the bulk domain may couple with the one in the interface through adsorption of mass from the bulk to the interface and the desorption of mass from the interface to the bulk.
In this talk, we present a conservative scheme for solving the coupled bulk-surface concentration equations and test it for different setups. The total mass is well conserved numerically comparing with the literature. The effect of solubility of surfactant on drop deformation in a shear flow is investigated in detail.

NCTS(South)/ NCKU Math Colloquium

DATE	2011-11-17　16:10-17:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	賴明治教授（國立交通大學數學建模與科學計算研究中心主任）

TITLE	A conservative scheme for solving the coupled surface-bulk convection-diffusion equations

ABSTRACT	Many problems in biological, physical and material sciences involve solving partial differential equations in complex domains or deformable interfaces. In particular, the underlying material quantities in the bulk domain may couple with the one in the interface through adsorption of mass from the bulk to the interface and the desorption of mass from the interface to the bulk. In this talk, we present a conservative scheme for solving the coupled bulk-surface concentration equations and test it for different setups. The total mass is well conserved numerically comparing with the literature. The effect of solubility of surfactant on drop deformation in a shear flow is investigated in detail.