Lattice Boltzmann method on curvilinear coordinates system: flow around a circular cylinder
Journal of Computational Physics
Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator
ACM Transactions on Modeling and Computer Simulation (TOMACS) - Special issue on uniform random number generation
Grid refinement for lattice-BGK models
Journal of Computational Physics
Journal of Computational Physics
Simulation of moving particles in 3D with the Lattice Boltzmann method
Computers & Mathematics with Applications
Lattice Boltzmann modeling of microchannel flow in slip flow regime
Journal of Computational Physics
Numerical Simulation of Particle Transport in a Drift Ratchet
SIAM Journal on Scientific Computing
Towards multi-phase flow simulations in the PDE framework Peano
Computational Mechanics
Hybrid molecular-continuum methods: From prototypes to coupling software
Computers & Mathematics with Applications
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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.