An Unconditionally Stable Cut Finite Element Immersed Boundary
Start Date/Time:
Wednesday, April 4, 2018 2:00 PM (UTC-05:00) Eastern Time (US & Canada)
Recurring Event:
One time event
Importance:
Normal Priority
Location:
Gunars Abele Auditorium
Description:

TITLE: An Unconditionally Stable Cut Finite Element Immersed Boundary

PRESENTER: Kyle Dunn, Ph.D. candidate, Worcester Polytechnic Institute

ABSTRACT: Originally developed for the numerical analysis of cardiac blood flow, the immersed boundary method introduced by Charles Peskin has gained popularity in various computational applications.  Peskin's method solves for the velocity and pressure of a fluid, then uses the local velocity to move the immersed boundary.  There has been a recent surge in effort to further study this method due to its growth in popularity across many applications, including cell mechanics and fluid dynamics.  Specifically, we seek to improve the finite element immersed boundary method.  In this seminar, we will introduce a high-accuracy cut finite element method for the steady-state Stokes equations in the presence of an immersed interface, which enables the use of a structured mesh that is not aligned with any boundary.  Then, allowing the interface to move in the time-dependent Stokes problem, we will discuss a semi-implicit time discretization and its unconditionally energy stability.  Finally, the theoretical stability results are illustrated with numerical simulations.

PRESENTATION:

HOST: Andrew Niccolai, Ph.D., Chief Signature Physics, U.S. Army Corps of Engineers R&D Center - CRREL

Owned by Bryan Armbrust On Sunday, July 1, 2018