Search Results for author: Varun Shankar

Found 7 papers, 1 papers with code

Locally Adaptive and Differentiable Regression

no code implementations14 Aug 2023 Mingxuan Han, Varun Shankar, Jeff M Phillips, Chenglong Ye

Over-parameterized models like deep nets and random forests have become very popular in machine learning.

regression

Differentiable Turbulence II

no code implementations25 Jul 2023 Varun Shankar, Romit Maulik, Venkatasubramanian Viswanathan

Differentiable fluid simulators are increasingly demonstrating value as useful tools for developing data-driven models in computational fluid dynamics (CFD).

Differentiable Turbulence: Closure as a partial differential equation constrained optimization

no code implementations7 Jul 2023 Varun Shankar, Dibyajyoti Chakraborty, Venkatasubramanian Viswanathan, Romit Maulik

Deep learning is increasingly becoming a promising pathway to improving the accuracy of sub-grid scale (SGS) turbulence closure models for large eddy simulations (LES).

Computational Efficiency

Importance of equivariant and invariant symmetries for fluid flow modeling

no code implementations3 May 2023 Varun Shankar, Shivam Barwey, Zico Kolter, Romit Maulik, Venkatasubramanian Viswanathan

Graph neural networks (GNNs) have shown promise in learning unstructured mesh-based simulations of physical systems, including fluid dynamics.

Multiscale Graph Neural Network Autoencoders for Interpretable Scientific Machine Learning

no code implementations13 Feb 2023 Shivam Barwey, Varun Shankar, Venkatasubramanian Viswanathan, Romit Maulik

The goal of this work is to address two limitations in autoencoder-based models: latent space interpretability and compatibility with unstructured meshes.

Differentiable physics-enabled closure modeling for Burgers' turbulence

no code implementations23 Sep 2022 Varun Shankar, Vedant Puri, Ramesh Balakrishnan, Romit Maulik, Venkatasubramanian Viswanathan

Data-driven turbulence modeling is experiencing a surge in interest following algorithmic and hardware developments in the data sciences.

Accelerated Training of Physics-Informed Neural Networks (PINNs) using Meshless Discretizations

1 code implementation19 May 2022 Ramansh Sharma, Varun Shankar

Finally, we also demonstrate that similar results can be obtained for the PINN solution to the heat equation (a space-time problem) by discretizing the spatial derivatives using RBF-FD and using automatic differentiation for the temporal derivative.

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