Computer Models for Two-Dimensional Steady-State Heat Conduction

• Main Authors: Albert,Mary Remley, Phetteplace,Gary E
• Other Authors: COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH
• Format: Text
• Language: English
• Published: 1983
• Subjects: Numerical Mathematics; Computer Programming and Software; Thermodynamics; *COMPUTER PROGRAMS; *STEADY STATE; *FINITE ELEMENT ANALYSIS; *FINITE DIFFERENCE THEORY; *CONDUCTION(HEAT TRANSFER); MATHEMATICAL MODELS; PIPES; NODES; TEMPERATURE GRADIENTS; RECTANGULAR BODIES; DIFFERENTIAL EQUATIONS; FROST; BURIED OBJECTS; HEAT FLUX; THERMAL BOUNDARY LAYER; WAVE EQUATIONS; PERMAFROST; DERIVATIVES(MATHEMATICS); Semi infinite boundaries; PE62730A; AST42; WU017; permafrost
• Online Access: http://www.dtic.mil/docs/citations/ADA128793; http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA128793

This report outlines the development and verification of two computer models of two-dimensional steady-state heat conduction a variety of boundary conditions. One is a finite difference program and the other is a finite element program. The results of each program are compared to two analytic solutions, and to one another. Sample input and output, and user instructions for each program are included. The programs have the same accuracy when modeling problems involving rectangular boundaries. The finite element method is better able to model curved boundaries, while the finite difference program is easier to use.