28 citations · 28 across the 1 of their papers we have counts for
11 papers
Differentiable physics-enabled closure modeling for Burgers' turbulence
Varun Shankar, Vedant Puri, Ramesh Balakrishnan +2
Data-driven turbulence modeling is experiencing a surge in interest following algorithmic and hardware developments in the data sciences. We discuss an approach using the different…
MGM: A meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces
Grady B. Wright, Andrew M. Jones, Varun Shankar
We develop a new meshfree geometric multilevel (MGM) method for solving linear systems that arise from discretizing elliptic PDEs on surfaces represented by point clouds. The metho…
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 Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds
Varun Shankar, Grady B. Wright, Akil Narayan
We present a new hyperviscosity formulation for stabilizing radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion-reaction equations on manifolds…