3 papers
physics.comp-ph2020
A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant
Deep Ray, Chen Liu, Beatrice Riviere
A numerical method using discontinuous polynomial approximations is formulated for solving a phase-field model of two immiscible fluids with a soluble surfactant. The scheme recove…
math.NA2020
Multi-level Monte Carlo Finite Difference Methods for Fractional Conservation Laws with Random Data
Ujjwal Koley, Deep Ray, Tanmay Sarkar
We establish a notion of random entropy solution for degenerate fractional conservation laws incorporating randomness in the initial data, convective flux and diffusive flux. In or…
physics.comp-ph2019
Deep learning observables in computational fluid dynamics
Kjetil O. Lye, Siddhartha Mishra, Deep Ray
Many large scale problems in computational fluid dynamics such as uncertainty quantification, Bayesian inversion, data assimilation and PDE constrained optimization are considered…