Thermodynamic-consistent lattice Boltzmann model for nonideal fluids

Wen, Binghai; Qin, Zhangrong; Zhang, Chaoying; Fang, Haiping

doi:10.1209/0295-5075/112/44002

Cited by 28 publications

(34 citation statements)

References 43 publications

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“…If the interface between two phases is flat and develops along with the y-axis, the fluid densities ) ( y  and its derivatives dy d can be easily obtained by numerically solving Eq. (26), which will be served as the "exact" values for comparison. On the other hand, by using the "exact" densities ) ( y  , we can also calculate its spatial derivatives with CDM or HDM respectively.…”

Section: Simulations and Resultsmentioning

confidence: 99%

A pseudopotential multiphase lattice Boltzmann model based on high-order difference

Qin

Zhao

Chen

et al. 2018

International Journal of Heat and Mass Transfer

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The hyperbolic tangent function is usually used as a reliable approximation of the equilibrium density distributions of a system with phase transitions. However, analyzing the accuracies of the numerical derivatives, we find that its numerical derivatives computed by central difference method (CDM) may deviate significantly from its analytical solutions, while those computed by high-order difference method (HDM) can agree very well. Therefore, we introduce HDM to evaluate the interparticle interactions instead of popular CDM, and propose a pseudopotential multiphase lattice Boltzmann model based on high-order difference method. The present model not only retains the advantages of the pseudopotential model, such as easy implementation, high efficiency, full parallelism and so on, but also achieves higher accuracies. To verify the performances of this model, several multiphase flow simulations are conducted, including both stationary and dynamic situations. Firstly, full thermodynamic consistencies for the popular equations of state have been achieved in large temperature range and at large density ratio, without any combining interaction and any additional adjustable parameter of interaction. Secondly, with high-order difference, either the interparticle interaction proposed by Shan-Chen or by Zhang-Chen can equally depict the phase transitions of the fluids with all selected equations of the state. These numerical * Corresponding authors.agreements based on HDM are consistent to the theoretical analysis that the two models are mathematically identical. Thirdly, the present model is stable and accurate at a wider temperature range. Lastly, our newly proposed model can be easily and reliably applied to various practical simulations and expected to obtain some more interesting results.

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Section: Simulations and Resultsmentioning

confidence: 99%

A pseudopotential multiphase lattice Boltzmann model based on high-order difference

Qin

Zhao

Chen

et al. 2018

International Journal of Heat and Mass Transfer

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“…Considering a nonideal fluid system, the free-energy functional within a gradient-squared approximation is [30,34,39]…”

Section: Chemical-potential-based Multiphase Modelmentioning

confidence: 99%

Contact angle measurement in lattice Boltzmann method

Wen

Huang

Qin

et al. 2018

Computers & Mathematics with Applications

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Contact angle is an essential characteristic in wetting, capillarity and moving contact line; however, although contact angle phenomena are effectively simulated, an accurate and real-time measurement for contact angle has not been well studied in computational fluid dynamics, especially in dynamic environments. Here, we design a geometry-based mesoscopic scheme for on-the-spot measurement of the contact angle in the lattice Boltzmann method. The measuring results without gravity effect are in good agreement with the benchmarks from the spherical cap method. The performances of the scheme are further verified in gravitational environments by simulating sessile and pendent droplets on smooth solid surfaces and dynamic contact angle hysteresis on chemically heterogeneous surfaces. This scheme is simple and computationally efficient. It requires only the local data and is independent of multiphase models.

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“…Considering a nonideal fluid system, the free-energy functional within a gradient-squared approximation is [13,17,29] …”

Section: Theory and Modelmentioning

confidence: 99%

“…The excess pressure, namely the nonideal force, with respect to the ideal gas expression can be directly computed [9,13] …”

Section: Theory and Modelmentioning

confidence: 99%