4 papers
A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations
Biswajit Khara, Suresh Murugaiyan, Makrand Khanwale +1
The Galerkin finite element formulation of the incompressible Navier-Stokes equations presents two principal challenges: maintaining stable velocity-pressure coupling and controlli…
Neural-Network-based Viscosity Closure for Non-Newtonian Multiphase Flows
Suresh Murugaiyan, Claire L. Nelson, Dhruv Gamdha +11
Materials used in polymer-based additive manufacturing processes, such as Digital Light Processing (DLP) and direct ink writing (DIW), typically exhibit non-Newtonian rheology. Car…
A Semi-Implicit Variational Multiscale Formulation for the Incompressible Navier-Stokes Equations via Exact Adjoint Linearization
Biswajit Khara, Suresh Murugaiyan, Suriya Dhakshinamoorthy +3
A semi-implicit, residual-based variational multiscale (VMS) formulation is developed for the incompressible Navier--Stokes equations. The approach linearizes convection using an e…
Predicting Time-Dependent Flow Over Complex Geometries Using Operator Networks
Ali Rabeh, Suresh Murugaiyan, Adarsh Krishnamurthy +1
Fast, geometry-generalizing surrogates for unsteady flow remain challenging. We present a time-dependent, geometry-aware Deep Operator Network that predicts velocity fields for mod…