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Subject: Convolution Item type: Thesis Collections: Graduate and Postdoctoral Studies (GPS), Faculty of/Theses and Dissertations Supervisors: Bowman, John C. (Mathematical and Statistical Sciences)

  • Hybrid Dealiased Convolutions

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    Spring 2024

    Murasko, Noel

    Efficient algorithms for computing linear convolutions based on the fast Fourier transform are developed. A hybrid approach is described that combines the conventional practice of explicit dealiasing (explicitly padding the input data with zeros) and implicit dealiasing (mathematically accounting...

  • Multispectral Reduction of Two-Dimensional Turbulence

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    Fall 2011

    Roberts, Malcolm Ian WIlliam

    Turbulence is a chaotic motion of fluid that can be described by the Navier--Stokes equations or even highly simplified shell models. Under the continuum limit, standard shell models of turbulence are shown to reduce to a common evolution equation that reproduces many predictions of the...

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