Neural-Operators | Neeraj Balachandar | Research Portfoliohttps://neerajbalachandar.github.io/tags/neural-operators/Neural-OperatorsHugo Blox Builder (https://hugoblox.com)en-usWed, 01 Jul 2026 00:00:00 +0000https://neerajbalachandar.github.io/media/icon_hu16206239388152479810.pngNeural-Operatorshttps://neerajbalachandar.github.io/tags/neural-operators/Neural Operator Surrogates for Fast Multipole Vortex Simulationshttps://neerajbalachandar.github.io/project/neural-operator-surrogates/Thu, 11 Sep 2025 00:00:00 +0000https://neerajbalachandar.github.io/project/neural-operator-surrogates/<h2 id="problem">Problem</h2> <p>This project builds neural-operator-based surrogates for fast multipole vortex simulations. The emphasis is on conservation-preserving learning and super-resolution reconstruction of velocity fields.</p> <figure class="project-detail-figure"><img src="https://neerajbalachandar.github.io/project/neural-operator-surrogates/detail.png" alt="Neural Operator Surrogates for Fast Multipole Vortex Simulations detail image" loading="lazy"></figure> <h2 id="approach">Approach</h2> <ul> <li>Neural operators for N-body vortex interactions</li> <li>Conservation-aware training objectives</li> <li>Super-resolution velocity reconstruction</li> </ul>Physics Informed Fourier Neural Operator to Map Reformulated Vortex Particle Field to Eulerian Velocity Fieldhttps://neerajbalachandar.github.io/publication/conference-paper/Wed, 01 Jul 2026 00:00:00 +0000https://neerajbalachandar.github.io/publication/conference-paper/<p>Accepted for presentation at TSFP14 (Heidelberg, Germany, July 2026).</p>