18 citations · 30 across the 6 of their papers we have counts for
13 papers
Beyond Phase Reduction: Amplitude Collapse in Optimal Control of Coupled Oscillators
Faranak Rajabi, Frédéric Gibou, Jeff Moehlis
We solve the four-dimensional Hamilton-Jacobi-Bellman (HJB) equation for two diffusively coupled Stuart-Landau-like oscillators to obtain full-state optimal feedback control. A swe…
CASL-HJX: A Comprehensive Guide to Solving Deterministic and Stochastic Hamilton-Jacobi Equations
Faranak Rajabi, Jacob Fingerman, Andrew Wang +2
CASL-HJX is a computational framework designed for solving deterministic and stochastic Hamilton-Jacobi equations in two spatial dimensions. It provides a flexible and efficient ap…
A model for slip and drag in turbulent flows over superhydrophobic surfaces with surfactant
Samuel D. Tomlinson, François Peaudecerf, Fernando Temprano-Coleto +4
Superhydrophobic surfaces (SHSs) can reduce the friction drag in turbulent flows. In the laminar regime, it has been shown that trace amounts of surfactant can negate this drag red…
A Sharp Numerical Method for the Simulation of Stefan Problems with Convective Effects
Elyce Bayat, Raphael Egan, Daniil Bochkov +2
We present a numerical method for the solution of interfacial growth governed by the Stefan model coupled with incompressible fluid flow. An algorithm is presented which takes spec…
Laminar drag reduction in surfactant-contaminated superhydrophobic channels
Samuel D. Tomlinson, Frédéric Gibou, Paolo Luzzatto-Fegiz +3
While superhydrophobic surfaces (SHSs) show promise for drag reduction applications, their performance can be compromised by traces of surfactant, which generate Marangoni stresses…
A non-parametric shape optimization approach for solving inverse problems in directed self-assembly of block copolymers
Daniil Bochkov, Frederic Gibou
In this work we consider the inverse problem of finding guiding pattern shapes that result in desired self-assembly morphologies of block copolymer melts. Specifically, we model po…