Implicit Newton-Krylov methods for modeling blast furnace stoves

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In this paper the authors discuss the use of an implicit Newton-Krylov method to solve a set of partial differential equations representing a physical model of a blast furnace stove. The blast furnace stove is an integral part of the iron making process in the steel industry. These stoves are used to heat air which is then used in the blast furnace to chemically reduce iron ore to iron metal. The solution technique used to solve the discrete representations of the model and control PDE`s must be robust to linear systems with disparate eigenvalues, and must converge rapidly without using ... continued below

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11 p.

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Howse, J. W.; Hansen, G. A.; Cagliostro, D. J. & Muske, K. R. June 1997.

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  • Los Alamos National Laboratory
    Publisher Info: Los Alamos National Lab., Computational Science Methods Group, NM (United States)
    Place of Publication: New Mexico

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Description

In this paper the authors discuss the use of an implicit Newton-Krylov method to solve a set of partial differential equations representing a physical model of a blast furnace stove. The blast furnace stove is an integral part of the iron making process in the steel industry. These stoves are used to heat air which is then used in the blast furnace to chemically reduce iron ore to iron metal. The solution technique used to solve the discrete representations of the model and control PDE`s must be robust to linear systems with disparate eigenvalues, and must converge rapidly without using tuning parameters. The disparity in eigenvalues is created by the different time scales for convection in the gas, and conduction in the brick; combined with a difference between the scaling of the model and control PDE`s. A preconditioned implicit Newton-Krylov solution technique was employed. The procedure employs Newton`s method, where the update to the current solution at each stage is computed by solving a linear system. This linear system is obtained by linearizing the discrete approximation to the PDE`s, using a numerical approximation for the Jacobian of the discretized system. This linear system is then solved for the needed update using a preconditioned Krylov subspace projection method.

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11 p.

Notes

OSTI as DE98004239

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  • ASME/AIAA joint thermophysics and heat transfer conference, Albuquerque, NM (United States), 15-18 Jun 1998

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  • Other: DE98004239
  • Report No.: LA-UR--97-4348
  • Report No.: CONF-980610--
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 672211
  • Archival Resource Key: ark:/67531/metadc707452

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

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  • June 1997

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • Nov. 3, 2016, 1:37 p.m.

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Howse, J. W.; Hansen, G. A.; Cagliostro, D. J. & Muske, K. R. Implicit Newton-Krylov methods for modeling blast furnace stoves, article, June 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc707452/: accessed December 14, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.