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Numerical Model for Waves on Rough Permeable Slopes

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TLDR
In this paper, a numerical model is presented for predicting the now and armor response on a rough permeable slope as well as the flow in a permeable underlayer for a normally incident wave train.
Abstract
KOBAYASHI, N. and WURJANTO, A., 1990. Numerical model for waves on rough slopes. Jour nal of Coastal Research, SI#7, 149-166. Fort Lauderdale (Florida). ISSN 0749-0208. A numerical model is presented for predicting the now and armor response on a rough permeable slope as well as the flow in a permeable underlayer for a normally incident wave train. In addi tion to the continuity and momentum equations used to compute the flow field, an equation of energy is used to estimate the rate of energy dissipation due to wave breaking. Computation is made for six test runs to examine the accuracy and capability of the numerical model for sim ulating the fairly detailed hydrodynamics and armor response under the action of regular waves. The computed critical stability number for initiation of armor movement is compared with the measured stability number corresponding to the start of the damage under irregular wave action to quantify the limitations of the regular wave approximation. The computed wave run-up, run-down and reflection coefficients are shown to be in qualitative agreement with available empirical formulas based on regular wave tests. ADDITIONAL INDEX WORDS: Waves, reflection, run-up, armor units, breakwaters.

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Citations
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Numerical Modeling of Wave Interaction with Porous Structures

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Wave-induced water table fluctuations, sediment transport and beach profile change: Modeling and comparison with large-scale laboratory experiments

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Irregular Wave Reflection and Runup on Permeable Slopes

TL;DR: In this article, a one-dimensional, time-dependent numerical model is developed to simulate the flow over a rough permeable slope as well as the flow inside a permeable underlayer of arbitrary thickness for specified normally incident irregular waves.

Cross-Shore Numerical Model CSHORE for Waves, Currents, Sediment Transport and Beach Profile Evolution

TL;DR: The cross-shore numerical model CSHORE as mentioned in this paper consists of the following components: a combined wave and current model based on time-averaged continuity, crossshore and longshore momentum, wave action, and roller energy equations; a sediment transport model for suspended sand and bedload; a permeable layer model to account for porous flow and energy dissipation; empirical formulas for irregular wave runup, overtopping and seepage; and a probabilistic model for an intermittently wet and dry zone for predicting wave overwash and structural damage progression.
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Irregular breaking wave transmission over submerged porous breakwater

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References
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A new approach to oscillatory rough turbulent boundary layers

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Stability of breakwater armour layers — design formulae

TL;DR: In this paper, a series of practical design formulae have been developed which describe the stability of rubble mound revetments and breakwaters under random wave attack, based upon a seriesof model tests.
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Wave reflection and run-up on rough slopes

TL;DR: In this article, a numerical flow model is developed to predict the flow characteristics on rough slopes for specified, normally incident wave trains, where the effects of bottom friction are solved numerically in the time domain using an explicit dissipative Lax-Wendroff finite difference method.
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Wave reflection and transmission at permeable breakwaters of arbitrary cross-section

TL;DR: In this article, a theory is formulated to predict wave reflection and transmission at an infinite rubble-mound breakwater, where the breakwater may be a multilayered structure with arbitrary cross-section.
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Deterministic and Probabilistic Design of Breakwater Armor Layers

TL;DR: In this article, new stability formulas for rubble mound revetments and breakwaters under random wave attack have been established as a result of a comprehensive model investigation at Delft Hydraulics.
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