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Sensitivity Analysis for Mathematical Modeling of Fires in Residential Buildings.


pdf icon Sensitivity Analysis for Mathematical Modeling of Fires in Residential Buildings. (458 K)
Kostreva, M. M.

NIST GCR 95-683; 14 p. February 1996.

Sponsor:

National Institute of Standards and Technology, Gaithersburg, MD

Available from:

National Technical Information Service (NTIS), Technology Administration, U.S. Department of Commerce, Springfield, VA 22161.
Telephone: 1-800-553-6847 or 703-605-6000;
Fax: 703-605-6900.
Website: http://www.ntis.gov
Order number: PB96-154968

Keywords:

residential buildings; sensitivity analysis; mathematical models; finite difference theory; fire models; zone models

Abstract:

The underlying equations used in the fire models HAZARDI and CONRAD2 are examined to establish a prototype method for sensitivity analysis applied to currently available zone fire models. Generic differential equations are derived which can supplement existing equations in fire models to estimate the time-varying sensitivity of model outputs. The implications on the validity of the solutions obtained and on the computing resources necessary to obtain such sensitivity information is discussed. The results of the proposed analytical approach is compared with estimates from finite difference analyses for the CONRAD2 model. These finite difference methods, while more computing intensive, provide more believable results than the analytical approaches examined.