Statistical validation of engineering and scientific models : bounds, calibration, and extrapolation.

Dowding, Kevin J. ; Hills, Richard Guy (New Mexico State University, Las Cruces, NM)

Sandia National Laboratories

关键词: Calibration;    Reliability (Engineering);    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Approximations;    Mathematical Models;   

DOI  :  10.2172/922760
RP-ID  :  SAND2005-1826
RP-ID  :  AC04-94AL85000
RP-ID  :  922760

美国|英语

来源: UNT Digital Library

【 摘 要 】

Numerical models of complex phenomena often contain approximations due to our inability to fully model the underlying physics, the excessive computational resources required to fully resolve the physics, the need to calibrate constitutive models, or in some cases, our ability to only bound behavior. Here we illustrate the relationship between approximation, calibration, extrapolation, and model validation through a series of examples that use the linear transient convective/dispersion equation to represent the nonlinear behavior of Burgers equation. While the use of these models represents a simplification relative to the types of systems we normally address in engineering and science, the present examples do support the tutorial nature of this document without obscuring the basic issues presented with unnecessarily complex models.