Accuracy of Pulsatile 2D flow in the Lattice Boltzmann BGK model. A. M. Artoli, A. G. Hoekstra and P. M. A. Sloot. Section Computational Science Institute Informatics Faculty of Science University of Amsterdam http://www.science.uva.nl/research/scs
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A. M. Artoli, A. G. Hoekstra and P. M. A. Sloot
Section Computational Science
Faculty of Science
University of Amsterdam
Emails: [artoli, alfons, sloot]@science.uva.nl
Atherogenesis grows at locations of low and oscillating shear stress.
Shear stress can be computed easily and up to the same accuracy as the flow fields in LBM.Motivation
Aorta with a bypass
The LBM is a first order finite difference discretization of the Boltzmann Equation
that describes the dynamics of continuous particle distribution function.
The velocity is descritized into a set of vectors ei
The inter-particle interactions are contained in the collision term W
The resulting Lattice Boltzmann involves two steps: streaming and Collision
P = A sin(w t) in the x-direction. A= initial Magnitude of P, w= angular frequency, t= simulation time .
Nonlinear integrodifferential equation in Kinetic theory of dilute monatomic gases.
Describes the temporal evolution of the one-particle distribution function in a gas of particles with binary collisions:
Equation is solvable near equilibrium
->Molecules are assumed Maxwellians -> gI(c) and not the energy.
Linearize the collision term and put fn = feqhn
-> Linearized BE