Lattice Boltzmann Models (LBM) for Two-phase Thermo-hydro-dynamics

October 15, 2009 - 12:00pm

Lattice Boltzmann Method (LBM) is one of the approaches which adopt a bottom-up route to fluid modeling in contrast to traditional top-down route of CFD. To achieve this, the fluid is described by a collection of particles moving on a fixed lattice and the overall dynamics is captured by a so-called particle distribution function, a quantity that represents probability density for the presence of particles in phase-space. In brief, evolution of “particles” takes place in the following two sequential steps: (a) streaming, in which each particle propagates, according to its velocity direction, to its neighbor nodes; and (b) collision, in which particles arriving at a particular node collide and change their velocity directions following some simple scattering rules. Most important part of this approach is that the rules governing the propagation and collisions are crafted in a way that the motion of particles is consistent with the Navier-Stokes equations. In comparison with continuum approaches, use of LBM may prove highly advantageous to simulate multiphase flows because of its inherent ability to incorporate particle interactions to yield phase segregation and thus, eliminates explicit interface tracking. Moreover, particle-particle interaction potential functions can be incorporated in the model to simulate fluid-fluid and/or fluid-surface interactions. Because of the nearest neighbor interactions, LBM is also naturally parallelizable. In fact, it is the increase in computational power of single processor coupled with the parallel processing technology that has given the LBM a significant push forward in recent days. A toy code in Fortran 90 for single-phase LBM (tuned to solve an example problem of unsteady, 2D flow past a cylinder) will be provided to those who attend. For more information about this seminar, please contact: David Lorenzetti(510) 486-5652

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