28 citations · 28 across the 4 of their papers we have counts for
3 papers · 1 filter
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…
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…