Solution of Time-Dependent Heat Conduction Equation in Complex Geometry by the Monte Carlo Method.

Abstract

A Monte Carlo method has been developed to solve the time-dependent heat conduction or diffusion equation. This method is a generalization of the floating sphere method to rectangular parallelepipeds. Green's functions are developed which satisfy the appropriate boundary conditions. Probability distributions based on these Green's functions are determined and random walk techniques are used to estimate a solution. The method is capable of handling various boundary conditions and complex three-dimensinal configurations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1976
Accession Number
ADA034513

Entities

People

  • Eugene S. Troubetzkoy
  • George J. Klem
  • Herbert A. Steinberg
  • Malvin H. Kalos
  • Norman E. Banks

Organizations

  • Mathematical Applications Group

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boltzmann Equation
  • Boundaries
  • Coefficients
  • Computer Programs
  • Differential Equations
  • Diffusion Coefficient
  • Eigenvalues
  • Equations
  • Geometry
  • Heat Transfer
  • Materials
  • Monte Carlo Method
  • Probability
  • Random Walk
  • Thermal Conductivity
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)