Some researchers have put forward many expansion models based on restricted

Boltzmann machine.

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 [18].

The CFD/CAA solver PowerFLOW 5.3 based on the Lattice

Boltzmann Method is used to calculate unsteady flow physics and the corresponding flow-induced noise generation and radiation.

Section 3 introduces the restricted

Boltzmann machine and deep restricted

Boltzmann machine for protein function prediction.