Numerical and asymptotic studies of complex flow dynamics. Annual report 1993

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Using analytical and numerical methods, the investigators have investigated slightly compressible flows modeled by solutions of the Navier-Stokes equations. General analytical results for ODEs and PDEs with highly oscillatory solutions have been obtained. Work has also been completed on the construction of boundary conditions at artificial boundaries for wave propagation problems and for parabolic systems. In the area of dynamical systems, the investigators have analyzed a novel numerical approach to compute branches of invariant tori. A preliminary code has been developed. New results were obtained on the relationship between the true attractor and its numerical approximations for dissipative dynamical systems. ... continued below

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5 p.

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Coutsias, E.; Hagstrom, T. & Lorenz, J. December 31, 1993.

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Description

Using analytical and numerical methods, the investigators have investigated slightly compressible flows modeled by solutions of the Navier-Stokes equations. General analytical results for ODEs and PDEs with highly oscillatory solutions have been obtained. Work has also been completed on the construction of boundary conditions at artificial boundaries for wave propagation problems and for parabolic systems. In the area of dynamical systems, the investigators have analyzed a novel numerical approach to compute branches of invariant tori. A preliminary code has been developed. New results were obtained on the relationship between the true attractor and its numerical approximations for dissipative dynamical systems. An efficient algorithm for the accurate solution of equations with polynomial coefficients has been developed and applications to the solution of the Navier-Stokes equations in disk geometry have begun.

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5 p.

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OSTI as DE96015284

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  • Other Information: PBD: 1993

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  • Other: DE96015284
  • Report No.: DOE/ER--25128-T2
  • Grant Number: FG03-92ER25128
  • DOI: 10.2172/399365 | External Link
  • Office of Scientific & Technical Information Report Number: 399365
  • Archival Resource Key: ark:/67531/metadc682381

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  • December 31, 1993

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • Dec. 3, 2015, 5 p.m.

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Coutsias, E.; Hagstrom, T. & Lorenz, J. Numerical and asymptotic studies of complex flow dynamics. Annual report 1993, report, December 31, 1993; United States. (digital.library.unt.edu/ark:/67531/metadc682381/: accessed November 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.