Changes between Version 6 and Version 7 of doc/tec/advection
- Timestamp:
- Jan 7, 2011 3:41:19 PM (14 years ago)
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doc/tec/advection
v6 v7 41 41 \hat{\psi} 42 42 }}} 43 denotes the fourier transformed of 43 denotes the fourier transformed of ψ. The Courant number 44 44 {{{ 45 45 #!Latex 46 46 \[ 47 \psi. \quadC_{r} = \frac{u \Delta t}{\Delta x}47 C_{r} = \frac{u \Delta t}{\Delta x} 48 48 \] 49 49 }}} 50 the Courant number whichcharacterizes stability properties and i is a complex number.50 characterizes stability properties and i is a complex number. 51 51 κ,,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. \\\\ 52 52 [[Image(prop.png, 500px, border=1)]] \\