التفاصيل البيبلوغرافية
| العنوان: |
Solving Boltzmann equation, green's function approach. |
| المؤلفون: |
Liu, Tai-Ping |
| المصدر: |
AIP Conference Proceedings; 2024, Vol. 2996 Issue 1, p1-12, 12p |
| مصطلحات موضوعية: |
BOLTZMANN'S equation, RAREFIED gas dynamics, THERMAL equilibrium, FLUID dynamics, BOUNDARY layer (Aerodynamics), GAS dynamics |
| مستخلص: |
In 1963, Harold Grad, [3], [4], emphasized the crucial role of singular layers for the study of the relationship between the Boltzmann equation in the kinetic theory and the fluid dynamics. The present article is to illustrate by examples the Green's function approach for the study the singular layers for the Boltzmann equation. The singular layers connect regions where the Boltzmann solution is far from thermal equilibrium to the fluid-like regions. In the fluid-like regions the Boltzmann solution is close to thermal equilibrium and can be accurately approximated by finite dimensional fluid dynamics equations. Truly infinite dimensional kinetic waves and basically finite dimensional fluid-like waves are bridged through singular layers. There are three main types of singular layers: boundary layers, initial layers and shock layers. Natural physical setups often involve coupling of different types of singular layer. We focus on several basic physical setups to illustrate the rich phenomena resulting from these couplings. The analysis of coupling of singular layers demands strong, quantitative methodologies. This article is based on the Harold Grad Lecture the author delivered at the 32th International Symposium on Rarefied Gas Dynamics. [ABSTRACT FROM AUTHOR] |
|
Copyright of AIP Conference Proceedings is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
Find this article in full text from Scitation.