Changes between Version 6 and Version 7 of doc/tec/advection


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Timestamp:
Jan 7, 2011 3:41:19 PM (14 years ago)
Author:
suehring
Comment:

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  • doc/tec/advection

    v6 v7  
    4141\hat{\psi} 
    4242}}}
    43 denotes the fourier transformed of
     43denotes the fourier transformed of ψ. The Courant number
    4444{{{
    4545#!Latex
    4646\[
    47 \psi. \quad C_{r} = \frac{u \Delta t}{\Delta x}
     47C_{r} = \frac{u \Delta t}{\Delta x}
    4848\]
    4949}}} 
    50 the Courant number which characterizes stability properties and i is a complex number.
     50characterizes stability properties and i is a complex number.
    5151κ,,eff,, is the effective wavenumber of a mode in fourier space which characterizes the modified wavenumber through the discretization. The real part of the effective wavenumber describes the dispersion error, the imaginary part the dissipation error. \\\\
    5252[[Image(prop.png, 500px, border=1)]] \\