. Collected reprints, Essa Institute for Oceanography. Oceanography Figure 19.—(a) Plot of real and imaginary parts of G(<r) against ia1. (b) Plot of real and imaginary parts of H(cr) against ia1. where Vs is the storm velocity. The appearance of Vs suggests that the value of /3 might be too large to admit a linear approximation for H(a), acting on the storm stress operand R. This may be why the linear approximation of H acting on R in (7) gave spurious waves for fast moving storms. It appears fioii empirical computations tl at dropping the J function in (9) [, H(a)^H0(<
. Collected reprints, Essa Institute for Oceanography. Oceanography Figure 19.—(a) Plot of real and imaginary parts of G(<r) against ia1. (b) Plot of real and imaginary parts of H(cr) against ia1. where Vs is the storm velocity. The appearance of Vs suggests that the value of /3 might be too large to admit a linear approximation for H(a), acting on the storm stress operand R. This may be why the linear approximation of H acting on R in (7) gave spurious waves for fast moving storms. It appears fioii empirical computations tl at dropping the J function in (9) [, H(a)^H0(<T0)] gave results in our numerical computations that could be acceptable for the present state of art in storm surge computations. We wish to show that this hoMs for the fast moving storms through comparisons of computations using an exact rather than a linear approximation of H(a). One can determine an exact H(a) from the stoi m model itself by first forming at any local point: R=R0e i(t-t0)(,a-ip) (13) then using (12); for uniform rectilinear storm motion, we have, dr=«+^=-i(Vs-V)/?. (14) dt Thus we can then form D2 R [%(f+0)+a]. (15) H(a), as shown in (11), has poles (zero denominator) and cannot be used directly in (7); there was no problem with poles when only the linear terms derived from the ex- pansion of H(a) given by (8) were retained. Instead, we first reform (9) and approximate the last term as t+ijdt l + H(a) G(a)—G)(a0) 1 + (16) D2/v[c2-al] If H and G are truncated as in (8) we recapture the left. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Institute for Oceanography; Atlantic Oceanographic Laboratories (U. S. ); Pacific Oceanographic Laboratories; United States. Environmental Science Services Administration. Research Laboratories. Washington, D. C. : U. S. Dept. of Commerce, Environm
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