43 citations · 168 across the 12 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…
Equilibrium of Free Surfaces and Nanoparticles in Self-Consistent Field Theory of Block Copolymers
Daniil Bochkov, Ivana Bagaric, Gaddiel Ouaknin +1
This work presents a general and unified theory describing block copolymer self-assembly in the presence of free surfaces and nanoparticles in the context of Self-Consistent Filed…
A Numerical Method for Sharp-Interface Simulations of Multicomponent Alloy Solidification
Daniil Bochkov, Tresa Pollock, Frederic Gibou
We present a computational method for the simulation of the solidification of multicomponent alloys in the sharp-interface limit. Contrary to the case of binary alloys where a fixe…
A single parameter can predict surfactant impairment of superhydrophobic drag reduction
Fernando Temprano-Coleto, Scott M. Smith, François J. Peaudecerf +3
Recent experimental and computational investigations have shown that trace amounts of surfactants, unavoidable in practice, can critically impair the drag reduction of superhydroph…
PDE-Based Multidimensional Extrapolation of Scalar Fields over Interfaces with Kinks and High Curvatures
Daniil Bochkov, Frederic Gibou
We present a PDE-based approach for the multidimensional extrapolation of smooth scalar quantities across interfaces with kinks and regions of high curvature. Unlike the commonly u…
Solving Elliptic Interface Problems with Jump Conditions on Cartesian Grids
Daniil Bochkov, Frederic Gibou
We present a simple numerical algorithm for solving elliptic equations where the diffusion coefficient, the source term, the solution and its flux are discontinuous across an irreg…
A theory for the slip and drag of superhydrophobic surfaces with surfactant
Julien R. Landel, François J. Peaudecerf, Fernando Temprano-Coleto +3
Superhydrophobic surfaces (SHSs) have the potential to reduce drag at solid boundaries. However, multiple independent studies have recently shown that small amounts of surfactant,…
A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization
Pouria Mistani, Arthur Guittet, Clair Poignard +1
We introduce a numerical framework that enables unprecedented direct numerical studies of the electropermeabilization effects of a cell aggregate at the meso-scale. Our simulations…