Stability analysis of implicit multi-fluid schemes

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A new implicit method has been developed for solving the viscous full multi-fluid equations, which incorporate transport and generation of mass and momentum for each component present in a system. This work presents stability analysis and application of the important full multi-fluid system in a fully implicit algorithm. The stability analyses presented demonstrate the performance of several iterative schemes applied to the solution of the linearized systems which arise in the formulation. These include block Jacobi and symmetric block Gauss-Siedel schemes with various preconditioners applied. A hierarchy of increasing physical complexity is pursued, starting with one-dimensional, two-fluid systems with minimum ... continued below

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12 p.

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Kunz, R.F.; Cope, W.K. & Venkateswaran, S. June 1, 1997.

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  • Knolls Atomic Power Laboratory
    Publisher Info: Knolls Atomic Power Lab., Schenectady, NY (United States)
    Place of Publication: Schenectady, New York

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A new implicit method has been developed for solving the viscous full multi-fluid equations, which incorporate transport and generation of mass and momentum for each component present in a system. This work presents stability analysis and application of the important full multi-fluid system in a fully implicit algorithm. The stability analyses presented demonstrate the performance of several iterative schemes applied to the solution of the linearized systems which arise in the formulation. These include block Jacobi and symmetric block Gauss-Siedel schemes with various preconditioners applied. A hierarchy of increasing physical complexity is pursued, starting with one-dimensional, two-fluid systems with minimum inter-field dynamic coupling and no mass transfer. These analyses are extended to systems employing physically important inter-field forces (drag, turbulence dispersion, virtual mass). The effects of mass transfer, multiple fields (i.e., n{phi} > 2) and multiple dimensions are also considered. A two-fluid Navier-Stokes code has been developed based on this new scheme. Results are presented which verify the validity of the stability analyses presented for the coupled scheme. Multi-phase flows which require full multi-fluid modeling arise in a wide class of engineering problems, where non-equilibrium dynamics and thermodynamics of the interfaces between constituents play important roles in the evolution of the ensemble averaged mean flow. Examples include cyclone separators, two-phase flow in jets and curved ducts and boiling flow in heat exchangers.

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12 p.

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OSTI as DE99001887

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  • 13. American Institute of Aeronautics and Astronautics computational fluid dynamics conference, Snowmass, CO (United States), 29 Jun - 2 Jul 1997

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  • Other: DE99001887
  • Report No.: KAPL-P--000163
  • Report No.: K--97044;CONF-970666--
  • Grant Number: AC12-76SN00052
  • Office of Scientific & Technical Information Report Number: 319649
  • Archival Resource Key: ark:/67531/metadc678162

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  • June 1, 1997

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • May 16, 2016, 5:56 p.m.

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Kunz, R.F.; Cope, W.K. & Venkateswaran, S. Stability analysis of implicit multi-fluid schemes, article, June 1, 1997; Schenectady, New York. (digital.library.unt.edu/ark:/67531/metadc678162/: accessed October 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.