scholarly journals Advection–diffusion lattice Boltzmann scheme for hierarchical grids

2008 ◽  
Vol 55 (7) ◽  
pp. 1576-1584 ◽  
Author(s):  
Maik Stiebler ◽  
Jonas Tölke ◽  
Manfred Krafczyk
2013 ◽  
Vol 88 ◽  
pp. 743-752 ◽  
Author(s):  
F. Mantovani ◽  
M. Pivanti ◽  
S.F. Schifano ◽  
R. Tripiccione

2004 ◽  
Vol 16 (19) ◽  
pp. S1931-S1944 ◽  
Author(s):  
S V Lishchuk ◽  
C M Care ◽  
I Halliday

2011 ◽  
Vol 9 (5) ◽  
pp. 1323-1334 ◽  
Author(s):  
Kae Tsunematsu ◽  
Bastien Chopard ◽  
Jean-Luc Falcone ◽  
Costanza Bonadonna

AbstractIn order to model the dispersal of volcanic particles in the atmosphere and their deposition on the ground, one has to simulate an advection-diffusion-sedimentation process on a large spatial area. Here we compare a Lattice Boltzmann and a Cellular Automata approach. Our results show that for high Peclet regimes, the cellular automata model produce results that are as accurate as the lattice Boltzmann model and is computationally more effective.


2020 ◽  
Vol 256 ◽  
pp. 107443
Author(s):  
Nadiia Kulyk ◽  
Daniel Berger ◽  
Ana-Sunčana Smith ◽  
Jens Harting

2013 ◽  
Vol 24 (12) ◽  
pp. 1340001 ◽  
Author(s):  
SILVIA PALPACELLI ◽  
PAUL ROMATSCHKE ◽  
SAURO SUCCI

We develop a quantum lattice Boltzmann (QLB) scheme for the Dirac equation with a nonlinear fermion interaction provided by the Nambu–Jona-Lasinio (NJL) model. Numerical simulations in 1 + 1 space-time dimensions, provide evidence of dynamic mass generation, through spontaneous breaking of chiral symmetry.


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