Structure and Isotropy of Lattice Pressure Tensors for Multi-range Potentials
| Autor: | Matteo Lulli, Mauro Sbragaglia, Giacomo Falcucci, Xiaowen Shan, Luca Biferale |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
Interaction forces Future studies Statistical Mechanics (cond-mat.stat-mech) Settore FIS/02 Cellular Automata and Lattice Gases (nlin.CG) Isotropy Lattice Boltzmann methods Fluid Dynamics (physics.flu-dyn) FOS: Physical sciences Physics - Fluid Dynamics 01 natural sciences 010305 fluids & plasmas Lattice (order) 0103 physical sciences Homogeneous space Statistical physics Tensor 010306 general physics Spurious relationship Nonlinear Sciences - Cellular Automata and Lattice Gases Condensed Matter - Statistical Mechanics |
| Popis: | We systematically analyze the tensorial structure of the lattice pressure tensors for a class of multi-phase lattice Boltzmann models (LBM) with multi-range interactions. Due to lattice discrete effects, we show that the built-in isotropy properties of the lattice interaction forces are not necessarily mirrored in the corresponding lattice pressure tensor. This finding opens a different perspective for constructing forcing schemes, achieving the desired isotropy in the lattice pressure tensors via a suitable choice of multi-range potentials. As an immediate application, the obtained LBM forcing schemes are tested via numerical simulations of non-ideal equilibrium interfaces and are shown to yield weaker and less spatially extended spurious currents with respect to forcing schemes obtained by forcing isotropy requirements only. From a general perspective, the proposed analysis yields an approach for implementing forcing symmetries, never explored so far in the framework of the Shan-Chen method for LBM. We argue this will be beneficial for future studies of non-ideal interfaces. 14 pages + Appendix, 8 figures; updated to published version: added figures and text |
| Databáze: | OpenAIRE |
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