288
5. Finite-Volume Methods
(a)
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(b)
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(c)
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x
FIGURE 5.22. The solution at y = 0.5, t = 2.5 plotted as a funetion of x . In each panel
a referenee solution obtained with a high-resolution simulation is shown as the thin solid
line. (a) two-dirnensional flux-limited solution using the superbee limiter (heavy solid) and
fourth-order eompaet solution (heavy dot-dashed) when tu = !'J.y = 0.2. (b) as in (a)
exeept that the horizontal grid spaeing is 0.1. (e) two-dirnensional flux-limited solution
obtained using the 0.1 mesh spacing and a superbee limiter (solid) or the Van Leer limiter
(heavy dot-dashed),
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