Extended mild-slope equation for random waves
نویسندگان
چکیده
منابع مشابه
Numerical Modeling of Extended Mild Slope Equation with Modified Mac Cormack Method
The transformation of waves is one of the important subjects in coastal engineering studies. Refraction, diffraction, shoaling, reflection can be analysed with the mild slope equation over mild sloped topographies. But the extended mild slope equation can be applied to the rapidly varying topographies since it includes higher order bottom effects such as square of bottom slope and bottom curvat...
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Based on the linear wave theory, the mild-slope equation (MSE) is a preferable mathematical model to simulate the wave propagation nearshore. On the basis of developed self-adaptive finite element model, an interative method is used to determine the wave direction angle to the boundary and to improve the treatment of the boundary conditions. Thus a numerical model to solve MSE is developed in t...
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We describe the numerical implementation of a phase-resolving, nonlinear spectral model for shoaling directional waves over a mild sloping beach with straight parallel isobaths. The model accounts for non-linear, quadratic (triad) wave interactions as well as shoaling and refraction. The model integrates the coupled, nonlinear hyperbolic evolution equations that describe the transformation of t...
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An exact formulation for the evolution of the probability density function of the time derivative of a waveform (slope density) propagating according to the one-dimensional inviscid Burgers equation is given. The formulation relies on the implicit Earnshaw solution and therefore is only valid prior to shock formation. As explicit examples, the slope density evolution of an initially sinusoidal ...
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ژورنال
عنوان ژورنال: Coastal Engineering
سال: 2003
ISSN: 0378-3839
DOI: 10.1016/s0378-3839(03)00033-4