988 citations · 3.3k across the 33 of their papers we have counts for
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Lattice Boltzmann method for viscoelastic fluids
Iaroslav Ispolatov, Martin Grant
Lattice Boltzmann model for viscoelastic flow simulation is proposed; elastic effects are taken into account in the framework of Maxwell model. The following three examples are stu…
Thermal effects on atomic friction
Yi Sang, Martin Dube, Martin Grant
We model friction acting on the tip of an atomic force microscope as it is dragged across a surface at non-zero temperatures. We find that stick-slip motion occurs and that the ave…
Modeling Elasticity in Crystal Growth
K. R. Elder, Mark Katakowski, Mikko Haataja +1
A new model of crystal growth is presented that describes the phenomena on atomic length and diffusive time scales. The former incorporates elastic and plastic deformation in a nat…
Solidification in a channel
Mohsen Sabouri-Ghomi, Nikolas Provatas, Martin Grant
We simulate solidification in a narrow channel through the use of a phase-field model with an adaptive grid. In different regimes, we find that the solid can grow in fingerlike ste…