A Comparison of Numerical Flux Formulas for the Euler Equations
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چکیده
where Uj is a numerical approximation to the cell-average of the exact solution over the j th cell at t = tn, and Fj+ 12 is a numerical flux approximating the time-average of the exact flux over ∆t evaluated at xj+ 1 2 . Various formulas for the numerical flux have been developed up to the present. We shall consider eight of those in this report. Although these schemes are derived from different interpretations of the numerical approximation; computing cell-averages(finite-volume method) or point-values(finite difference method), it is not an important issue here since we consider only 1st/2nd order method.
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تاریخ انتشار 2010