Using the Monte-Carlo Method in Chemical Kinetics,

Abstract

The contemporary kinetic theory of reacting gases is based on the solution to Boltzmann's equation. Since the reaction disturbs the equilibrium distribution, the problem consists of finding the non-equilibrium distribution function and the reaction rate which corresponds to this function. Although the direct numerical integration of Boltzmann's equation is possible, with the exception of the simplest cases it requires unacceptably high expenditures of machine time. In this situation attempts appear hopeful for using the Monte-Carlo method (MCM) for solving problems of gas kinetics and gas dynamics. In this article the discussion will concern the 'physical variety' of the MCM which consists of the direct modeling of the sequence of elementary events of the particle interaction of the system studied on a computer.

Document Details

Document Type
Technical Report
Publication Date
Nov 05, 1974
Accession Number
ADA001852

Entities

People

  • A. I. Osipov
  • S. N. Lebedev
  • V. B. Leonas
  • Yu. G. Malama

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Chemical Kinetics
  • Distribution Functions
  • Dynamics
  • Equations
  • Gas Dynamics
  • Kinetic Theory
  • Kinetics
  • Monte Carlo Method
  • Numerical Integration

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Neural Network Machine Learning.