Spectral methods for compressible flows are introduced in relation to finite difference and finite element techniques within the framework of the method of weighted residuals. Current spectral collociation methods are put into historical context. The basic concepts of Fourier spectral collocation methods are provided. Filtering strategies for shock-capturing approaches are also presented. Fourier shock-capturing techniques are evaluated using a one-dimensional, periodic astrophysical 'nozzle' problem.


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    Title :

    Spectral methods for the Euler equations. I - Fourier methods and shock capturing


    Contributors:

    Published in:

    Publication date :

    1985-01-01



    Type of media :

    Miscellaneous


    Type of material :

    No indication


    Language :

    English




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