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An acceleration procedure for discrete velocity approximation of the Boltzmann collision operator

✍ Scribed by T. Płatkowski; W. Waluś

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
740 KB
Volume
39
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we investigate a method of realization of the discrete velocity approximation of the Boltzmann collision operator studied by Palczewski, Schneider and Bobylev. For this realization, we propose an acceleration procedure, which reduces the computational complexity of the method. The efficiency of the acceleration procedure is demonstrated through a set of numerical tests, which include space homogeneous relaxation problems and space nonhomogeneous problem of shock wave formation. (~) 2000 Elsevier Science Ltd. All rights reserved.

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An improved differential form of the Boltzmann collision operator for a Rayleigh gas (or Brownian particles)
✍ Leonardo Ferrari 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 907 KB

A new approximate differential form of the Boltzmann collision operator for a Rayleigh gas (or Brownian particles) is derived. The calculation procedure retains all the terms of first and second order in the small quantity/x I = M/(m + M), M and m being the masses of the light particles and of the h