ncku-talk2012-03-22

NCTS(South)/ NCKU Math Colloquium

DATE 2012-03-22　15:10-16:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Prof. Xiaolin Li （Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, USA）

TITLE Lagrangian Front Tracking Method to Fluid Instability Problems

ABSTRACT Lagrangian front tracking method is an adaptive computational method which provides sharp resolution of discontinuous solution by tracking the dynamically moving interface between computational subdomains. It represents interfaces explicitly as lower dimensional meshes moving through a rectangular grid. In this talk, we will introduce the mathematical assumption, numerical analysis, and computational implementation of the front tracking method. We will discuss the coupling between interface dynamics and PDE solvers. We will present several examples of successful application in the study of fluid instabilities and the potential to applications of other problems.

NCTS(South)/ NCKU Math Colloquium

DATE	2012-03-22　15:10-16:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Prof. Xiaolin Li （Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, USA）

TITLE	Lagrangian Front Tracking Method to Fluid Instability Problems

ABSTRACT	Lagrangian front tracking method is an adaptive computational method which provides sharp resolution of discontinuous solution by tracking the dynamically moving interface between computational subdomains. It represents interfaces explicitly as lower dimensional meshes moving through a rectangular grid. In this talk, we will introduce the mathematical assumption, numerical analysis, and computational implementation of the front tracking method. We will discuss the coupling between interface dynamics and PDE solvers. We will present several examples of successful application in the study of fluid instabilities and the potential to applications of other problems.