Lattice Boltzmann simulations of stochastic thin film dewetting

Abstract

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Controlling the dewetting morphologies of thin liquid films by switchable substrates

“…5) with a prefactor proportional to the time spent by the rivulet in such a configuration, which goes as ∼ λ/v θ , therefore ∆h(t) ∼ α(λ/v θ )e αt . The rivulet life-time can be seen as the rupture time of the structure along its axis, hence such that ∆h(τ riv ) ∼ h 0 [35], which yields…”

On the accuracy and performance of the lattice Boltzmann method with 64-bit, 32-bit and novel 16-bit number formats

“…Nvidia GPUs , CPUs and Nvidia GPUs [16][17][18][19][20][21][22][23][24][25][26] or mobile SoCs [116,117] -only few use OpenCL [5][6][7][8][9][10][11][12][13][14][15]. With FluidX3D also being implemented in OpenCL, we are able to benchmark our code across a large variety of hardware, from the worlds fastest data-center GPUs over gaming GPUs and CPUs to even the GPUs of mobile phone ARM SoCs.…”

“…Nevertheless, only few papers [17,32,33,49,57,61] provide some comparison on how floating-point formats affect the accuracy of the LBM and mostly find only insignificant differences between FP64 and FP32 except at very low velocity and where floating-point round-off leads to spontaneous symmetry breaking. Besides the question of accuracy, a quantitative performance comparison across different hardware microarchitectures is missing as the vast majority of LBM software is either written only for CPUs [62][63][64][65][66][67][68][69][70][71][72][73][74] or only for Nvidia GPUs or CPUs and Nvidia GPUs [16][17][18][19][20][21][22][23][24][25][26].…”

Liquid film rupture beyond the thin-film equation: a multi-component lattice Boltzmann study

“…These extrinsic mechanisms are opposed to intrinsic, spinodal dewetting ones. Spinodal dewetting occurs in extremely thin liquid films that break up spontaneously due to interface perturbations or thermal fluctuations [16][17][18][19][20][21][22]. Several experimental works studied the evolution of thin films on horizontal partially-wettable surfaces [23][24][25][26], chemically structured walls [27], films with toroidal shape [28] or surrounded by a second viscous phase [29].…”

“…( 1) is valid under the assumptions of negligible inertial effects (implying a small Reynolds number) and small contact angles due to the inevitable presence, in the theoretical description, of a precursor film. Numerical solutions of the TFE have been obtained using various approaches including contact line solutions [38][39][40], gradient dynamics models [41][42][43], as well as LB-based methods [22,44], by allowing to observe the dynamics of h(x, t) within the TFE limits. Other numerical methods have been employed to go beyond the lubrication approximation, including phase-field approaches [45,46], single-phase LB models [26,47,48], and volume-of-fluid methods [49][50][51].…”