Distributional Monte Carlo Methods for the Boltzmann Equation

Abstract

Stochastic particle methods (SPMs) for the Boltzmann equation, such as the Direct Simulation Monte Carlo (DSMC) technique, have gained popularity for the prediction of flows in which the assumptions behind the continuum equations of fluid mechanics break down; however, there are still a number of issues that make SPMs computationally challenging for practical use. In traditional SPMs, simulated particles may possess only a single velocity vector, even though they may represent an extremely large collection of actual particles. This limits the method to converge only in law to the Boltzmann solution. This document details the development of new SPMs that allow the velocity of each simulated particle to be distributed. This approach has been termed Distributional Monte Carlo (DMC).

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2013
Accession Number
ADA580986

Entities

People

  • Christopher R. Schrock

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boltzmann Equation
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Gas Dynamics
  • Knudsen Number
  • Mechanical Properties
  • Mechanics
  • Monte Carlo Method
  • Probabilistic Models
  • Random Variables
  • Thermodynamic Properties
  • Two Dimensional

Readers

  • Aerospace Propulsion Engineering.
  • Computational Fluid Dynamics (CFD)
  • Mathematical Modeling and Probability Theory.