Publications (42)
Mesh-free Semi-Lagrangian Methods for Transport on a Sphere Using Radial Basis Functions
Varun Shankar, Grady Wright
We present three new semi-Lagrangian methods based on radial basis function (RBF) interpolation for numerically simulating transport on a sphere. The methods are mesh-free and are…
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…
Ensemble and Mixture-of-Experts DeepONets For Operator Learning
Ramansh Sharma, Varun Shankar
We present a novel deep operator network (DeepONet) architecture for operator learning, the ensemble DeepONet, that allows for enriching the trunk network of a single DeepONet with…
Generalizable data-driven turbulence closure modeling on unstructured grids with differentiable physics
Hojin Kim, Varun Shankar, Venkatasubramanian Viswanathan +1
Differentiable physical simulators are proving to be valuable tools for developing data-driven models for computational fluid dynamics (CFD). In particular, these simulators enable…
JetSCI: A Hybrid JAX-PETSc Framework for Scalable Differentiable Simulation
Alberto Cattaneo, M Keith Ballard, Robert M. Kirby +1
The rapid rise of scientific machine learning (SciML) has expanded the role of differentiable modeling, surrogate modeling, and data-driven constitutive laws in large-scale simulat…
Discretization of non-uniform rational B-spline (NURBS) models for meshless isogeometric analysis
Urban Duh, Varun Shankar, Gregor Kosec
We present an algorithm for fast generation of quasi-uniform and variable-spacing nodes on domains whose boundaries are represented as computer-aided design (CAD) models, more spec…