Search
Search Results
-
Learning Invariance Preserving Moment Closure Model for Boltzmann–BGK Equation
As one of the main governing equations in kinetic theory, the Boltzmann equation is widely utilized in aerospace, microscopic flow, etc. Its...
-
Boundary Layer Solution of the Boltzmann Equation for Specular Boundary Condition
In the paper, we establish the existence of steady boundary layer solution of Boltzmann equation with specular boundary condition in L
... -
Solution of the Boltzmann Equation in the Continuum Flow Regime
AbstractA method for solving the Boltzmann equation is presented that makes it possible to calculate gas flows in the continuum flow regime described...
-
Accelerating the Solution of the Boltzmann Equation by Controlling Contributions to the Collision Integral
AbstractA method of reducing the number of arithmetic operations needed to evaluate the Boltzmann collision integral by the conservative projection...
-
Study of Nonclassical Transport by Applying Numerical Methods for Solving the Boltzmann Equation
AbstractThis paper overviews the state of the art in the study of nonequilibrium gas flows with nonclassical transport, in which the Stokes and...
-
Heat Transfer Problem for the Boltzmann Equation in a Channel with Diffusive Boundary Condition
In this paper, the authors study the 1D steady Boltzmann flow in a channel. The walls of the channel are assumed to have vanishing velocity and given...
-
Study and Optimization of N-Particle Numerical Statistical Algorithm for Solving the Boltzmann Equation
AbstractThe main goal of this work is to check the hypothesis that the well-known N -particle statistical algorithm yields a solution estimate for...
-
Efficient Method for Solving the Boltzmann Equation on a Uniform Mesh
AbstractA new numerical method for solving the Boltzmann equation on a uniform mesh in velocity space is proposed. The asymptotic complexity of the...
-
An Adaptive Dynamical Low Rank Method for the Nonlinear Boltzmann Equation
Efficient and accurate numerical approximation of the full Boltzmann equation has been a longstanding challenging problem in kinetic theory. This is...
-
On uniqueness and stability for the Boltzmann–Enskog equation
The time-evolution of a moderately dense gas in a vacuum is described in classical mechanics by a particle density function obtained from the...
-
Half-Space Problems for the Boltzmann Equation of Multicomponent Mixtures
Half-space problems in the kinetic theory of gases are of great importance in the study of the asymptotic behavior of solutions of boundary value...
-
On a Class of Self-Similar Solutions of the Boltzmann Equation
We consider a class of distribution functions having the form f(v, t) = e −dat F(ve −at), a = const., where...
-
Hyperbolic Lattice Boltzmann Method and Discrete Boltzmann Method for Solid–Liquid Phase Change Problem
The lattice Boltzmann method (LBM) is a potential numerical tool for solving challenging fluid problems. The Bhatnagar Gross Krook (BGK)...
-
Explicit Modal Discontinuous Galerkin Approximations for Three-Dimensional Electronic Boltzmann Transport Equation
This study presents the development of an efficient numerical algorithm to simulate the three-dimensional electronic Boltzmann transport equation...
-
The smoothing effect in sharp Gevrey space for the spatially homogeneous non-cutoff Boltzmann equations with a hard potential
In this article, we study the smoothing effect of the Cauchy problem for the spatially homogeneous non-cutoff Boltzmann equation for hard potentials....
-
A Modified Secant Method for Entropic Lattice Boltzmann Equations
AbstractStability of lattice Boltzmann equations is governed by a parameter that is responsible for the relaxation time of the nonequilibrium system...
-
A Discrete Nine-Velocity Model of the Boltzmann Equation: Solution in the Form of Wild Sum and Applications to Simulating Incompressible Flows
AbstractA discrete kinetic nine-velocity model of the Boltzmann equation on a plane is considered. In the limit of small free path and low bulk...
-
Boltzmann Equation without the Molecular Chaos Hypothesis
AbstractA physically clear probabilistic model of a gas from hard spheres is considered using the theory of random processes and in terms of the...
