Advances in Coastal and Ocean Engineering by Philip L. F. Liu

By Philip L. F. Liu

Show description

Read or Download Advances in Coastal and Ocean Engineering PDF

Best geology books

Limnology and Aquatic Birds

The significance of habitat conservation for the safety of birds has turn into largely said and approved through common source managers and most of the people. Papers offered during this quantity additional our knowing of the $64000 function that limnology has in picking habitat suitability for waterbirds.

Fractal and chaotic properties of earthquakes

This e-book offers with the applying of fractal and nonlinear time-series research to seismicity and earthquakes in the framework of earthquake prediction study. Emphasis is on theoretical foundations in addition to functional implementation and pitfalls to permit readers to behavior their very own analyses.

Basic Analytical Petrology

This ebook is meant as a supplementary textual content for petrology classes in any respect degrees. it truly is excited about the way within which numerous forms of chemical substances and thermochemical information are interpreted for igneous rocks and minerals. advanced phenomena are defined in down-to-earth and easy-to-grasp phrases, and method is under pressure.

Additional resources for Advances in Coastal and Ocean Engineering

Sample text

17)) is present: the third term between square brackets in the expression for v\ should have the numerical factor one and not four, see also Eqs. (48). Nonlinear Modulation of Water Waves 21 The coefficient v\ of the term \B\2B is singular when cg = y/gh and when 7 = cr 2 /(3 — <72). For cg = y/gh, one has long-wave/short-wave resonance in which the group velocity of the short (capillary) waves equals the phase velocity of the long (gravity) waves. Near cg2 = gh, another scaling of the independent variables has to be used and the asymptotic expansion of $ and ( is also different (Djordjevic and Redekopp, 1977), $ = 2 3 £ / 0 + e4>i + ei/3h (68a) + ••-, (68b) with ( = e2/i(xi /30 r) = e22/i x2, -cgt), T =-4/3 t.

40) and (41), 2ik8B_{khfd^+8^ JghdT v ' d£2 drj2 = ^ ^B3J^^ 2gh3* ' yfgh (62a) dt, The validity of these equations has been checked by Freeman and Davey (1975) who started from the original equations of motion and introduced the appropriate long-wave scaling. They showed that the double limit e —>• 0, kh —> 0 in the asymptotic expansions for $ and £ was uniform when the condition e/{kh)2 <§; 1 was fulfilled. Because e = ka, this condition can be written as (a/h)/(kh). This condition does not necessarily imply that the Stokes parameter which is given by (a/h)/{kh)2 is a small quantity.

Dingemans & A. K. Otta Some examples of these solutions have been considered in Dingemans (1997, p. 925). We replot solutions for the dn, en and sn-solutions given there. In two dimensions, let us consider the deep-water case Eq. (61) because of its simplicity. dA 1 (d2A d2A\ . AI2A ,,„, We note that for NLS-type of equations for water waves, the coordinate along the propagation direction £ and the lateral one r/ are not interchangeable. Fig. 2. A dn-solution. Fig. 3. A cn-solution. Fig. 4. A sn-solution.

Download PDF sample

Rated 4.08 of 5 – based on 13 votes