Some researchers have put forward many expansion models based on restricted Boltzmann
In the Lattice Boltzmann
Method, the motion of the fluid is simulated by particle movement and collision on a uniform lattice, Figure 1.
An immersed boundary lattice Boltzmann
approach to simulate deformable liquid capsules and its application to microscopic blood flows, Physical biology 4: 285-295.
Aidun, "Simulating 3D deformable particle suspensions using lattice boltzmann
method with discrete external boundary force," International Journal for Numerical Methods in Fluids, vol.
(1) A double-distribution Lattice Boltzmann
model for solving the coupled generalized Navier-Stokes equation and advection-diffusion equation with respect to the gas-solid dynamic adsorption process is proposed for multicomponent gas migration in the unconventional reservoir.
In Section 2, the three aforementioned groups of deep learning model are reviewed: Convolutional Neural Networks, Deep Belief Networks and Deep Boltzmann
Machines, and Stacked Autoencoders.
A discretization of the Boltzmann
equation in time and space leads to the lattice Boltzmann
equation [20, 21]:
For this work, a 3-D simulation of a synthetic jet cavity was conducted with the lattice Boltzmann
method which allowed more accurate and comprehensive performance data for synthetic jet flow than previous 2-D simulations.
In Sections 4 and 5 for initial states specified by means of a one-particle distribution function the link between the dual Boltzmann
hierarchy for the limit marginal observables and the Boltzmann
kinetic equation and the process of the propagation of initial chaos is established.
The Navier-Stokes equations can be obtained from the lattice Boltzmann
equation (LBE) through a Chapman-Enskog expansion proposed by He and Luo .
Section 3 introduces the restricted Boltzmann
machine and deep restricted Boltzmann
machine for protein function prediction.