Applications of an exponential finite difference technique

Technical Report · Fri Jul 01 00:00:00 EDT 1988

OSTI ID:6658648

Handschuh, R F; Keith, Jr, T G

An exponential finite difference scheme first presented by Bhattacharya for one dimensional unsteady heat conduction problems in Cartesian coordinates was extended. The finite difference algorithm developed was used to solve the unsteady diffusion equation in one dimensional cylindrical coordinates and was applied to two and three dimensional conduction problems in Cartesian coordinates. Heat conduction involving variable thermal conductivity was also investigated. The method was used to solve nonlinear partial differential equations in one and two dimensional Cartesian coordinates. Predicted results are compared to exact solutions where available or to results obtained by other numerical methods.

• Research Organization: National Aeronautics and Space Administration, Cleveland, OH (USA). Lewis Research Center
• OSTI ID: 6658648
• Report Number(s): N-88-28312; NASA-TM-100939; E-4006; AVSCOM-TM-88-C-004; NAS-1.15:100939
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
THERMAL CONDUCTIVITY
FINITE DIFFERENCE METHOD
THERMAL DIFFUSION
ALGORITHMS
CARTESIAN COORDINATES
PARTIAL DIFFERENTIAL EQUATIONS
COORDINATES
DIFFERENTIAL EQUATIONS
DIFFUSION
EQUATIONS
ITERATIVE METHODS
MATHEMATICAL LOGIC
NUMERICAL SOLUTION
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
420400* - Engineering- Heat Transfer & Fluid Flow