Home Page of Dharshi Devendran
Contact Information:
New York University
Courant
Institute for Mathematical Sciences
Office 907
251 Mercer St
New York, NY 10012
Email: dharshi at cims dot nyu dot edu
Research Interests:
I am a Ph.D. student in mathematics at the Courant
Institute. My advisor is Charles Peskin. My research
interests include computational fluid dynamics (in particular, methods
for fluid-structure interaction), mathematical biology and finite
elements. For my thesis, I developed a version
of the immersed boundary method in which elastic forces are discretized using continuum mechanics, with a finite-element-like discretization. Unlike the traditional immersed boundary method, material models from continuum mechanics can be directly incorporated into the framework of this new immersed boundary method. Currently, I am using this
method to model the fluid dynamics of blood flow within the early
embryonic tubular heart. I am also interested in the theory of
the immersed boundary method, and I am working on a convergence proof
of the immersed boundary method that I developed. Outside of my thesis work, I am building a
computational model to study the fluid dynamics of active suspensions
in periodic channels with jagged boundaries. This is joint work
with Michael Shelley and Kellen Petersen.
See my research statement for more details.
Publications and Talks:
D. Devendran, C.S. Peskin. An Energy-Based
Immersed Boundary Method for Incompressible Viscoelasticity.
Submitted.
D. Devendran. Weak Consistency of the Eulerian Force Density in the
Immersed Boundary Method.
In Preparation.
An Energy-Based Model of
Incompressible Viscoelasticity, ICES
Seminar, UT Austin (Nov. 2011)
An Energy-Based Model of
Incompressible Viscoelasticity, Mostly Biomathematics Lunchtime
Seminar, New York University (Nov. 2010)
Teaching:
Calculus 1, TA (Spring 2011)
Written Exam Workshop, Instructor (Spring 2010)
Introduction to Analysis 1, Grader (Fall 2010)
Linear Algebra, Instructor (Summer 2009)
Computers in
Medicine
and Biology, TA (Spring 2009)
Linear Algebra, TA (Fall 2008)
Analysis 2, TA (Spring 2008)
Other:
CV
Last Updated: January 12, 2012