Accession Number:

ADA048268

Title:

Forward Monte Carlo Method for the Solution of Time-Dependent Heat Conduction Equation.

Descriptive Note:

Final rept. 19 Apr 76-30 Aug 77,

Corporate Author:

MATHEMATICAL APPLICATIONS GROUP INC ELMSFORD N Y

Personal Author(s):

• Troubetzkoy,Eugene S.

Report Date:

1977-12-01

Pagination or Media Count:

66.0

Abstract:

A forward Monte Carlo method has been developed to solve the time-dependent heat conduction or diffusion equation. The general method has been implemented so as to cover a variety of boundary conditions. The method is based on a floating volume random walk, similar to the one in an adjoint method. A novel problem has been posed, and successfully solved, on the treatment of boundary conditions. The solution required the introduction of a biasing function, leading to a biased random walk. The first step of the random walk is particular to the forward method. The succeeding steps can be considered self-adjoint, as they are identical in the forward and adjoint case. Author

Descriptors:

• *MONTE CARLO METHOD
• *THERMAL CONDUCTIVITY
• ALGORITHMS
• TIME DEPENDENCE
• PROBABILITY DISTRIBUTION FUNCTIONS
• RANDOM VARIABLES
• STATISTICAL SAMPLES
• KERNEL FUNCTIONS
• BOUNDARY VALUE PROBLEMS
• DIFFUSION COEFFICIENT
• GREENS FUNCTIONS
• INTEGRAL EQUATIONS
• POINTS(MATHEMATICS)
• POPULATION(MATHEMATICS)

Subject Categories:

• Statistics and Probability
• Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE