28 citations · 28 across the 2 of their papers we have counts for
6 papers
A fine-grained parallelization of the immersed boundary method
Andrew Kassen, Varun Shankar, Aaron L Fogelson
We present new algorithms for the parallelization of Eulerian-Lagrangian interaction operations in the immersed boundary method. Our algorithms rely on two well-studied parallel pr…
Pump efficacy in a fluid-structure interaction model of a chain of contracting lymphangions
Hallie Elich, Aaron Barrett, Varun Shankar +1
The transport of lymph through the lymphatic vasculature is the mechanism for returning excess interstitial fluid to the circulatory system, and it is essential for fluid homeostas…
An Efficient High-Order Meshless Method for Advection-Diffusion Equations on Time-Varying Irregular Domains
Varun Shankar, Grady B. Wright, Aaron L. Fogelson
We present a high-order radial basis function finite difference (RBF-FD) framework for the solution of advection-diffusion equations on time-varying domains. Our framework is based…
A Mathematical Model of Platelet Aggregation in an Extravascular Injury Under Flow
Kathryn G. Link, Matthew G. Sorrells, Nicholas A. Danes +3
We present the first mathematical model of flow-mediated primary hemostasis in an extravascular injury, which can track the process from initial deposition to occlusion. The model…
Hyperviscosity-Based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations
Varun Shankar, Aaron L. Fogelson
We present a novel hyperviscosity formulation for stabilizing RBF-FD discretizations of the advection-diffusion equation. The amount of hyperviscosity is determined quasi-analytica…
A Study of Different Modeling Choices For Simulating Platelets Within the Immersed Boundary Method
Varun Shankar, Grady B. Wright, Aaron L. Fogelson +1
The Immersed Boundary (IB) method is a widely-used numerical methodology for the simulation of fluid-structure interaction problems. The IB method utilizes an Eulerian discretizati…