This revised text provides an updated account of principles and survey modelling in hydraulic, coastal and offshore engineering. Topics covered include discrete forms of conservation laws, numerical methods, the foundations of computational hydraulics, and applications of computational hydraulics.
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Continuous forms of conservation laws
The method of characteristics
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Abbott advection algorithmic structure applications approximation Argand diagram behaviour belief system Boussinesq Boussinesq equations called celerity Chapter characteristic directions coefficient component computational hydraulics conservation laws consider constant construction continuum convective converges corresponding defined derivatives described difference equations difference scheme differential equation diffusion discontinuity effect eigenvalues element encapsulation energy Euler equation example expressed filter finite fluid flux density Fourier Fourier series function further given grid points horizontal flow hydraulic jump hydroinformatics implicit scheme integral introduced kinematic kinematic wave knowledge knowledge frame language linear LjReal matrix method of characteristics metric space momentum equation motion nearly-horizontal flow obtain one-dimensional operator physical problem propagation properties provides relation representation scale schematized in Fig Section seen sequence shown in Fig simplest solution space stability statement supercritical flow theory transformation truncation error turbulence two-dimensional values vector velocity vertical wave number zero