A comparison of two efficient nonlinear heat conduction methodologies using a two-dimensional time-dependent benchmark problem
Two highly efficient nonlinear time-dependent heat conduction methodologies, the nonlinear time-dependent nodal integral technique (NTDNT) and IVOHEAT are compared using one- and two-dimensional time-dependent benchmark problems. The NTDNT is completely based on newly developed time-dependent nodal integral methods, whereas IVOHEAT is based on finite elements in space and Crank-Nicholson finite differences in time. IVOHEAT contains the geometric flexibility of the finite element approach, whereas the nodal integral method is constrained at present to Cartesian geometry. For test problems where both methods are equally applicable, the nodal integral method is approximately six times more efficient per dimension than IVOHEAT when a comparable overall accuracy is chosen. This translates to a factor of 200 for a three-dimensional problem having relatively homogeneous regions, and to a smaller advantage as the degree of heterogeneity increases.
- Research Organization:
- Univ. of Virginia, Dept. of Nuclear Engineering and Engineering Physics, Charlottesville, VA (US)
- OSTI ID:
- 6742380
- Journal Information:
- Nucl. Technol.; (United States), Journal Name: Nucl. Technol.; (United States) Vol. 82:1; ISSN NUTYB
- Country of Publication:
- United States
- Language:
- English
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BENCHMARKS
CALCULATION METHODS
CARTESIAN COORDINATES
COMPUTER CODES
COORDINATES
FINITE DIFFERENCE METHOD
FINITE ELEMENT METHOD
GEOMETRY
ITERATIVE METHODS
MATHEMATICS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PHYSICAL PROPERTIES
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS