A dynamic mesh refinement technique for Lattice Boltzmann simulations on octree-like grids

被引：0
作者：
Philipp Neumann
Tobias Neckel
机构：
[1] Technische Universität München,
来源：
Computational Mechanics | 2013年 / 51卷
关键词：
Lattice Boltzmann; Dynamic grid refinement; Adaptive Cartesian grids; Multiscale; Fluctuations; Brownian; Particle transport;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this contribution, we present our new adaptive Lattice Boltzmann implementation within the Peano framework, with special focus on nanoscale particle transport problems. With the continuum hypothesis not holding anymore on these small scales, new physical effects—such as Brownian fluctuations—need to be incorporated. We explain the overall layout of the application, including memory layout and access, and shortly review the adaptive algorithm. The scheme is validated by different benchmark computations in two and three dimensions. An extension to dynamically changing grids and a spatially adaptive approach to fluctuating hydrodynamics, allowing for the thermalisation of the fluid in particular regions of interest, is proposed. Both dynamic adaptivity and adaptive fluctuating hydrodynamics are validated separately in simulations of particle transport problems. The application of this scheme to an oscillating particle in a nanopore illustrates the importance of Brownian fluctuations in such setups.
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页码：237 / 253
页数：16
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