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

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Description

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 ... continued below

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73 p.

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Dowding, Kevin J. & Hills, Richard Guy (New Mexico State University, Las Cruces, NM) April 1, 2005.

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Description

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.

Physical Description

73 p.

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  • Report No.: SAND2005-1826
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/922760 | External Link
  • Office of Scientific & Technical Information Report Number: 922760
  • Archival Resource Key: ark:/67531/metadc897604

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • April 1, 2005

Added to The UNT Digital Library

  • Sept. 27, 2016, 1:39 a.m.

Description Last Updated

  • Dec. 8, 2016, 11:14 p.m.

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Dowding, Kevin J. & Hills, Richard Guy (New Mexico State University, Las Cruces, NM). Statistical validation of engineering and scientific models : bounds, calibration, and extrapolation., report, April 1, 2005; United States. (digital.library.unt.edu/ark:/67531/metadc897604/: accessed November 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.