A parallel Runge–Kutta discontinuous Galerkin solver for rarefied gas flows based on 2D Boltzmann kinetic equations

2015 ◽  
Vol 109 ◽  
pp. 123-136 ◽  
Author(s):  
Wei Su ◽  
Alina A. Alexeenko ◽  
Guobiao Cai
Keyword(s):  
Discontinuous Galerkin ◽  
Rarefied Gas ◽  
Kinetic Equations ◽  
Gas Flows ◽  
Rarefied Gas Flows ◽  
Runge Kutta

Particle Methods for the Boltzmann Equation

Acta Numerica ◽  
1995 ◽  
Vol 4 ◽  
pp. 417-457 ◽  
Author(s):  
Helmut Neunzert ◽  
Jens Struckmeier
Keyword(s):  
Semiconductor Device ◽  
Rarefied Gas ◽  
Hard Spheres ◽  
Kinetic Equations ◽  
Device Simulation ◽  
Particle Methods ◽  
Gas Flows ◽  
Real Gas ◽  
Rarefied Gas Flows ◽  
Real Gas Effects

In the following chapters we will discuss particle methods for the numerical simulation of rarefied gas flows.We will mainly treat a billiard game, that is, our particles will be hard spheres. But we will also touch upon cases where particles have internal energies due to rotation or vibration, which they exchange in a collision, and we will talk about chemical reactions happening during a collision.Due to the limited size of this paper, we are only able to mention the principles of these real-gas effects. On the other hand, the general concepts of particle methods to be presented may be used for other kinds of kinetic equations, such as the semiconductor device simulation. We leave this part of the research to subsequent papers.

Shock polar investigation in supersonic rarefied gas flows over a circular cylinder

2021 ◽  
Vol 33 (5) ◽  
pp. 052006
Author(s):  
Hassan Akhlaghi ◽  
Ehsan Roohi ◽  
Abbas Daliri ◽  
Mohammad-Reza Soltani
Keyword(s):  
Circular Cylinder ◽  
Rarefied Gas ◽  
Gas Flows ◽  
Rarefied Gas Flows
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