Date of Award
5-2012
Document Type
Thesis
Degree Name
Master of Science (MS)
Legacy Department
Mathematical Science
Committee Chair/Advisor
Lee, Hyesuk
Committee Member
Rebholz , Leo
Committee Member
Warner , Daniel
Abstract
In this thesis, we consider a viscoelastic flow in a moving domain, which has significant applications in biology and industry. Numerical approximation schemes are developed based on the Arbitrary Lagrangian-Eulerian (ALE) formulation of the flow equations. A spatial discretization is accomplished by the finite element method, and the time descritization is carried by either the implicit Euler method or the Crank-Nicolson method. Numerical results are presented for a fluid in a moving domain, where the boundary movement is specified by a given function. Then, we extend our work to a fluid-structure interaction problem. This system consists of a two-dimensional viscoelastic flow and a one-dimensional structure equation. We show how the system can be split and how each subproblem can be solved using interface conditions. Finally, we present some numerical results for the fluid-structure coupled system.
Recommended Citation
Xu, Shuhan, "Numerical study for a viscoelastic fluid-structure interaction problem" (2012). All Theses. 1323.
https://tigerprints.clemson.edu/all_theses/1323