scholarly journals Boundary layers for the nonlinear discrete Boltzmann equation: Condensing vapor flow in the presence of a non-condensable gas

2012 ◽  
Author(s):  
N. Bernhoff
Keyword(s):  
Boltzmann Equation ◽  
Boundary Layers ◽  
Vapor Flow ◽  
Discrete Boltzmann Equation

scholarly journals Boundary Layers and Shock Profiles for the Broadwell Model

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Niclas Bernhoff
Keyword(s):  
Boltzmann Equation ◽  
Boundary Layers ◽  
Nonlinear Problem ◽  
Nonlinear Boundary ◽  
Velocity Model ◽  
Discrete Velocity ◽  
Shock Profiles ◽  
Discrete Velocity Model ◽  
Good Agreement ◽  
Discrete Boltzmann Equation

We consider the existence of nonlinear boundary layers and the typically nonlinear problem of existence of shock profiles for the Broadwell model, which is a simplified discrete velocity model for the Boltzmann equation. We find explicit expressions for the nonlinear boundary layers and the shock profiles. In spite of the few velocities used for the Broadwell model, the solutions are (at least partly) in qualitatively good agreement with the results for the discrete Boltzmann equation, that is the general discrete velocity model, and the full Boltzmann equation.

Discrete Boltzmann Equation model of polydisperse shallow granular flows

2019 ◽  
Vol 113 ◽  
pp. 107-116 ◽  
Author(s):  
Michele La Rocca ◽  
Andrea Montessori ◽  
Pietro Prestininzi ◽  
Lakshmanan Elango
Keyword(s):  
Boltzmann Equation ◽  
Granular Flows ◽  
Equation Model ◽  
Discrete Boltzmann Equation
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