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19952020
most citedQuantitative Phase Field Model of Alloy Solidification

816 citations

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5 papers · 1 filter

physics.comp-ph2020★ 34 cited

Diffusion toward non-overlapping partially reactive spherical traps: fresh insights onto classic problems

Denis S. Grebenkov

Several classic problems for particles diffusing outside an arbitrary configuration of non-overlapping partially reactive spherical traps in three dimensions are revisited. For thi…

physics.comp-ph2020★ 7 cited

Diffusion NMR in periodic media: efficient computation and spectral properties

Nicolas Moutal, Antoine Moutal, Denis S. Grebenkov

The Bloch-Torrey equation governs the evolution of the transverse magnetization in diffusion magnetic resonance imaging, where two mechanisms are at play: diffusion of spins (Lapla…

physics.comp-ph2018★ 38 cited

Semi-analytical computation of Laplacian Green functions in three-dimensional domains with disconnected spherical boundaries

D. S. Grebenkov, Sergey D. Traytak

We apply the generalized method of separation of variables (GMSV) to solve boundary value problems for the Laplace operator in three-dimensional domains with disconnected spherical…

physics.comp-ph2016★ 66 cited

Lattice Boltzmann simulations of 3D crystal growth: Numerical schemes for a phase-field model with anti-trapping current

Alain Cartalade, Amina Younsi, Mathis Plapp

A lattice-Boltzmann (LB) scheme, based on the Bhatnagar-Gross-Krook (BGK) collision rules is developed for a phase-field model of alloy solidification in order to simulate the grow…

physics.comp-ph2013

Efficient Monte Carlo methods for simulating diffusion-reaction processes in complex systems

Denis Grebenkov

We briefly review the principles, mathematical bases, numerical shortcuts and applications of fast random walk (FRW) algorithms. This Monte Carlo technique allows one to simulate i…