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ANALYZING NUMERICAL ERRORS IN DOMAIN HEAT TRANSPORT MODELS USING THE CVBEM.

By:
Edited by:
Chung Jin S.Lunardini Virgil J.Chakrabarti S.K.Wang Y.S.Sodhi D.S.Karal K.

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Abstract

Besides providing an exact solution for steady-state heat conduction processes (Laplace Poisson equations), the CVBEM (complex variable boundary element method) can be used for the numerical error analysis of domain model solutions. For problems where soil water phase change latent heat effects dominate the thermal regime, heat transport can be approximately modeled as a time-stepped steady-state condition in the thawed and frozen regions, respectively. The CVBEM provides an exact solution of the two-dimensional steady-state heat transport problem, and also provides the error in matching the prescribed boundary conditions by the development of a modeling error distribution or an approximative boundary generation. This error evaluation can be used to develop highly accurate CVBEM models of the heat transport process, and the resulting model can be used as a test case for evaluating the precision of domain models based on finite elements or finite differences.

Additional Publication Details

Publication type:
Conference Paper
Publication Subtype:
Conference Paper
Title:
ANALYZING NUMERICAL ERRORS IN DOMAIN HEAT TRANSPORT MODELS USING THE CVBEM.
Volume
2
Year Published:
1985
Language:
English
Publisher:
ASME
Publisher location:
New York, NY, USA
First page:
22
Last page:
30
Number of Pages:
9
Conference Title:
Proceedings of the Fourth International Offshore Mechanics and Arctic Engineering Symposium. Presented at the 1985 ASME Energy-Sources Technology Conference & Exhibition.
Conference Location:
Dallas, TX, USA