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The number of modes {and nodes} scale as $cG_0^{1/2} + c'(M/\\beta)^{1/2}$ and $cG_0^{2/3} + c'(M/\\beta)^{1/2}$ respectively, where the Grashof number $G_0=|f_v|_{L^2}^{}/(\\mu^2\\kappa_0^2)$ and $M$ involves higher derivatives of the forcing $f_v$. 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