167 citations · 426 across the 14 of their papers we have counts for
4 papers · 1 filter
A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows
Chen Liu, Deep Ray, Christopher Thiele +2
In this paper, we present an efficient numerical algorithm for solving the time-dependent Cahn--Hilliard--Navier--Stokes equations that model the flow of two phases with different…
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…
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…
Iterative Surrogate Model Optimization (ISMO): An active learning algorithm for PDE constrained optimization with deep neural networks
Kjetil O. Lye, Siddhartha Mishra, Deep Ray +1
We present a novel active learning algorithm, termed as iterative surrogate model optimization (ISMO), for robust and efficient numerical approximation of PDE constrained optimizat…