The Role of Wave Height, Period, Slope, Tide Range and Embaymentisation in Beach Classifications: a Review
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Part II-1 Water Wave Mechanics
Chapter 1 EM 1110-2-1100 WATER WAVE MECHANICS (Part II) 1 August 2008 (Change 2) Table of Contents Page II-1-1. Introduction ............................................................II-1-1 II-1-2. Regular Waves .........................................................II-1-3 a. Introduction ...........................................................II-1-3 b. Definition of wave parameters .............................................II-1-4 c. Linear wave theory ......................................................II-1-5 (1) Introduction .......................................................II-1-5 (2) Wave celerity, length, and period.......................................II-1-6 (3) The sinusoidal wave profile...........................................II-1-9 (4) Some useful functions ...............................................II-1-9 (5) Local fluid velocities and accelerations .................................II-1-12 (6) Water particle displacements .........................................II-1-13 (7) Subsurface pressure ................................................II-1-21 (8) Group velocity ....................................................II-1-22 (9) Wave energy and power.............................................II-1-26 (10)Summary of linear wave theory.......................................II-1-29 d. Nonlinear wave theories .................................................II-1-30 (1) Introduction ......................................................II-1-30 (2) Stokes finite-amplitude wave theory ...................................II-1-32 -
Waves and Weather
Waves and Weather 1. Where do waves come from? 2. What storms produce good surfing waves? 3. Where do these storms frequently form? 4. Where are the good areas for receiving swells? Where do waves come from? ==> Wind! Any two fluids (with different density) moving at different speeds can produce waves. In our case, air is one fluid and the water is the other. • Start with perfectly glassy conditions (no waves) and no wind. • As wind starts, will first get very small capillary waves (ripples). • Once ripples form, now wind can push against the surface and waves can grow faster. Within Wave Source Region: - all wavelengths and heights mixed together - looks like washing machine ("Victory at Sea") But this is what we want our surfing waves to look like: How do we get from this To this ???? DISPERSION !! In deep water, wave speed (celerity) c= gT/2π Long period waves travel faster. Short period waves travel slower Waves begin to separate as they move away from generation area ===> This is Dispersion How Big Will the Waves Get? Height and Period of waves depends primarily on: - Wind speed - Duration (how long the wind blows over the waves) - Fetch (distance that wind blows over the waves) "SMB" Tables How Big Will the Waves Get? Assume Duration = 24 hours Fetch Length = 500 miles Significant Significant Wind Speed Wave Height Wave Period 10 mph 2 ft 3.5 sec 20 mph 6 ft 5.5 sec 30 mph 12 ft 7.5 sec 40 mph 19 ft 10.0 sec 50 mph 27 ft 11.5 sec 60 mph 35 ft 13.0 sec Wave height will decay as waves move away from source region!!! Map of Mean Wind -
A Near-Shore Linear Wave Model with the Mixed Finite Volume and Finite Difference Unstructured Mesh Method
fluids Article A Near-Shore Linear Wave Model with the Mixed Finite Volume and Finite Difference Unstructured Mesh Method Yong G. Lai 1,* and Han Sang Kim 2 1 Technical Service Center, U.S. Bureau of Reclamation, Denver, CO 80225, USA 2 Bay-Delta Office, California Department of Water Resources, Sacramento, CA 95814, USA; [email protected] * Correspondence: [email protected]; Tel.: +1-303-445-2560 Received: 5 October 2020; Accepted: 1 November 2020; Published: 5 November 2020 Abstract: The near-shore and estuary environment is characterized by complex natural processes. A prominent feature is the wind-generated waves, which transfer energy and lead to various phenomena not observed where the hydrodynamics is dictated only by currents. Over the past several decades, numerical models have been developed to predict the wave and current state and their interactions. Most models, however, have relied on the two-model approach in which the wave model is developed independently of the current model and the two are coupled together through a separate steering module. In this study, a new wave model is developed and embedded in an existing two-dimensional (2D) depth-integrated current model, SRH-2D. The work leads to a new wave–current model based on the one-model approach. The physical processes of the new wave model are based on the latest third-generation formulation in which the spectral wave action balance equation is solved so that the spectrum shape is not pre-imposed and the non-linear effects are not parameterized. New contributions of the present study lie primarily in the numerical method adopted, which include: (a) a new operator-splitting method that allows an implicit solution of the wave action equation in the geographical space; (b) mixed finite volume and finite difference method; (c) unstructured polygonal mesh in the geographical space; and (d) a single mesh for both the wave and current models that paves the way for the use of the one-model approach. -
Marine Forecasting at TAFB [email protected]
Marine Forecasting at TAFB [email protected] 1 Waves 101 Concepts and basic equations 2 Have an overall understanding of the wave forecasting challenge • Wave growth • Wave spectra • Swell propagation • Swell decay • Deep water waves • Shallow water waves 3 Wave Concepts • Waves form by the stress induced on the ocean surface by physical wind contact with water • Begin with capillary waves with gradual growth dependent on conditions • Wave decay process begins immediately as waves exit wind generation area…a.k.a. “fetch” area 4 5 Wave Growth There are three basic components to wave growth: • Wind speed • Fetch length • Duration Wave growth is limited by either fetch length or duration 6 Fully Developed Sea • When wave growth has reached a maximum height for a given wind speed, fetch and duration of wind. • A sea for which the input of energy to the waves from the local wind is in balance with the transfer of energy among the different wave components, and with the dissipation of energy by wave breaking - AMS. 7 Fetches 8 Dynamic Fetch 9 Wave Growth Nomogram 10 Calculate Wave H and T • What can we determine for wave characteristics from the following scenario? • 40 kt wind blows for 24 hours across a 150 nm fetch area? • Using the wave nomogram – start on left vertical axis at 40 kt • Move forward in time to the right until you reach either 24 hours or 150 nm of fetch • What is limiting factor? Fetch length or time? • Nomogram yields 18.7 ft @ 9.6 sec 11 Wave Growth Nomogram 12 Wave Dimensions • C=Wave Celerity • L=Wave Length • -
Waves and Structures
WAVES AND STRUCTURES By Dr M C Deo Professor of Civil Engineering Indian Institute of Technology Bombay Powai, Mumbai 400 076 Contact: [email protected]; (+91) 22 2572 2377 (Please refer as follows, if you use any part of this book: Deo M C (2013): Waves and Structures, http://www.civil.iitb.ac.in/~mcdeo/waves.html) (Suggestions to improve/modify contents are welcome) 1 Content Chapter 1: Introduction 4 Chapter 2: Wave Theories 18 Chapter 3: Random Waves 47 Chapter 4: Wave Propagation 80 Chapter 5: Numerical Modeling of Waves 110 Chapter 6: Design Water Depth 115 Chapter 7: Wave Forces on Shore-Based Structures 132 Chapter 8: Wave Force On Small Diameter Members 150 Chapter 9: Maximum Wave Force on the Entire Structure 173 Chapter 10: Wave Forces on Large Diameter Members 187 Chapter 11: Spectral and Statistical Analysis of Wave Forces 209 Chapter 12: Wave Run Up 221 Chapter 13: Pipeline Hydrodynamics 234 Chapter 14: Statics of Floating Bodies 241 Chapter 15: Vibrations 268 Chapter 16: Motions of Freely Floating Bodies 283 Chapter 17: Motion Response of Compliant Structures 315 2 Notations 338 References 342 3 CHAPTER 1 INTRODUCTION 1.1 Introduction The knowledge of magnitude and behavior of ocean waves at site is an essential prerequisite for almost all activities in the ocean including planning, design, construction and operation related to harbor, coastal and structures. The waves of major concern to a harbor engineer are generated by the action of wind. The wind creates a disturbance in the sea which is restored to its calm equilibrium position by the action of gravity and hence resulting waves are called wind generated gravity waves. -
I. Wind-Driven Coastal Dynamics II. Estuarine Processes
I. Wind-driven Coastal Dynamics Emily Shroyer, Oregon State University II. Estuarine Processes Andrew Lucas, Scripps Institution of Oceanography Variability in the Ocean Sea Surface Temperature from NASA’s Aqua Satellite (AMSR-E) 10000 km 100 km 1000 km 100 km www.visibleearth.nasa.Gov Variability in the Ocean Sea Surface Temperature (MODIS) <10 km 50 km 500 km Variability in the Ocean Sea Surface Temperature (Field Infrared Imagery) 150 m 150 m ~30 m Relevant spatial scales range many orders of magnitude from ~10000 km to submeter and smaller Plant DischarGe, Ocean ImaginG LanGmuir and Internal Waves, NRL > 1000 yrs ©Dudley Chelton < 1 sec < 1 mm > 10000 km What does a physical oceanographer want to know in order to understand ocean processes? From Merriam-Webster Fluid (noun) : a substance (as a liquid or gas) tending to flow or conform to the outline of its container need to describe both the mass and volume when dealing with fluids Enterà density (ρ) = mass per unit volume = M/V Salinity, Temperature, & Pressure Surface Salinity: Precipitation & Evaporation JPL/NASA Where precipitation exceeds evaporation and river input is low, salinity is increased and vice versa. Note: coastal variations are not evident on this coarse scale map. Surface Temperature- Net warming at low latitudes and cooling at high latitudes. à Need Transport Sea Surface Temperature from NASA’s Aqua Satellite (AMSR-E) www.visibleearth.nasa.Gov Perpetual Ocean hWp://svs.Gsfc.nasa.Gov/cGi-bin/details.cGi?aid=3827 Es_manG the Circulaon and Climate of the Ocean- Dimitris Menemenlis What happens when the wind blows on Coastal Circulaon the surface of the ocean??? 1. -
Detection and Characterization of Meteotsunamis in the Gulf of Genoa
Journal of Marine Science and Engineering Article Detection and Characterization of Meteotsunamis in the Gulf of Genoa Paola Picco 1,*, Maria Elisabetta Schiano 2, Silvio Incardone 1, Luca Repetti 1, Maurizio Demarte 1, Sara Pensieri 2,* and Roberto Bozzano 2 1 Italian Hydrographic Service, passo dell’Osservatorio, 4, 16135 Genova, Italy 2 Institute for the study of the anthropic impacts and the sustainability of the marine environment, National Research Council of Italy, via De Marini 6, 16149 Genova, Italy * Correspondence: [email protected] (P.P.); [email protected] (S.P.) Received: 30 May 2019; Accepted: 10 August 2019; Published: 15 August 2019 Abstract: A long-term time series of high-frequency sampled sea-level data collected in the port of Genoa were analyzed to detect the occurrence of meteotsunami events and to characterize them. Time-frequency analysis showed well-developed energy peaks on a 26–30 minute band, which are an almost permanent feature in the analyzed signal. The amplitude of these waves is generally few centimeters but, in some cases, they can reach values comparable or even greater than the local tidal elevation. In the perspective of sea-level rise, their assessment can be relevant for sound coastal work planning and port management. Events having the highest energy were selected for detailed analysis and the main features were identified and characterized by means of wavelet transform. The most important one occurred on 14 October 2016, when the oscillations, generated by an abrupt jump in the atmospheric pressure, achieved a maximum wave height of 50 cm and lasted for about three hours. -
Deep Ocean Wind Waves Ch
Deep Ocean Wind Waves Ch. 1 Waves, Tides and Shallow-Water Processes: J. Wright, A. Colling, & D. Park: Butterworth-Heinemann, Oxford UK, 1999, 2nd Edition, 227 pp. AdOc 4060/5060 Spring 2013 Types of Waves Classifiers •Disturbing force •Restoring force •Type of wave •Wavelength •Period •Frequency Waves transmit energy, not mass, across ocean surfaces. Wave behavior depends on a wave’s size and water depth. Wind waves: energy is transferred from wind to water. Waves can change direction by refraction and diffraction, can interfere with one another, & reflect from solid objects. Orbital waves are a type of progressive wave: i.e. waves of moving energy traveling in one direction along a surface, where particles of water move in closed circles as the wave passes. Free waves move independently of the generating force: wind waves. In forced waves the disturbing force is applied continuously: tides Parts of an ocean wave •Crest •Trough •Wave height (H) •Wavelength (L) •Wave speed (c) •Still water level •Orbital motion •Frequency f = 1/T •Period T=L/c Water molecules in the crest of the wave •Depth of wave base = move in the same direction as the wave, ½L, from still water but molecules in the trough move in the •Wave steepness =H/L opposite direction. 1 • If wave steepness > /7, the wave breaks Group Velocity against Phase Velocity = Cg<<Cp Factors Affecting Wind Wave Development •Waves originate in a “sea”area •A fully developed sea is the maximum height of waves produced by conditions of wind speed, duration, and fetch •Swell are waves -
Swell and Wave Forecasting
Lecture 24 Part II Swell and Wave Forecasting 29 Swell and Wave Forecasting • Motivation • Terminology • Wave Formation • Wave Decay • Wave Refraction • Shoaling • Rouge Waves 30 Motivation • In Hawaii, surf is the number one weather-related killer. More lives are lost to surf-related accidents every year in Hawaii than another weather event. • Between 1993 to 1997, 238 ocean drownings occurred and 473 people were hospitalized for ocean-related spine injuries, with 77 directly caused by breaking waves. 31 Going for an Unintended Swim? Lulls: Between sets, lulls in the waves can draw inexperienced people to their deaths. 32 Motivation Surf is the number one weather-related killer in Hawaii. 33 Motivation - Marine Safety Surf's up! Heavy surf on the Columbia River bar tests a Coast Guard vessel approaching the mouth of the Columbia River. 34 Sharks Cove Oahu 35 Giant Waves Peggotty Beach, Massachusetts February 9, 1978 36 Categories of Waves at Sea Wave Type: Restoring Force: Capillary waves Surface Tension Wavelets Surface Tension & Gravity Chop Gravity Swell Gravity Tides Gravity and Earth’s rotation 37 Ocean Waves Terminology Wavelength - L - the horizontal distance from crest to crest. Wave height - the vertical distance from crest to trough. Wave period - the time between one crest and the next crest. Wave frequency - the number of crests passing by a certain point in a certain amount of time. Wave speed - the rate of movement of the wave form. C = L/T 38 Wave Spectra Wave spectra as a function of wave period 39 Open Ocean – Deep Water Waves • Orbits largest at sea sfc. -
Wind-Induced Waves and Currents in a Nearshore Zone
CHAPTER 260 Wind-Induced Waves and Currents in a Nearshore Zone Nobuhiro Matsunaga1, Misao Hashida2 and Hiroshi Kawakami3 Abstract Characteristics of waves and currents induced when a strong wind blows shoreward in a nearshore zone have been investigated experimentally. The drag coefficient of wavy surface has been related to the ratio u*a/cP, where u*a is the air friction velocity on the water surface and cP the phase velocity of the predominant wind waves. Though the relation between the frequencies of the predominant waves and fetch is very similar to that for deep water, the fetch-relation of the wave energy is a little complicated because of the wave shoaling and the wave breaking. The dependence of the energy spectra on the frequency /changes from /-5 to/"3 in the high frequency region with increase of the wind velocity. A strong onshore drift current forms along a thin layer near the water surface and the compensating offshore current is induced under this layer. As the wind velocity increases, the offshore current velocity increases and becomes much larger than the wave-induced mass transport velocity which is calculated from Longuet- Higgins' theoretical solution. 1. Introduction When a nearshore zone is under swell weather conditions, the 1 Associate Professor, Department of Earth System Science and Technology, Kyushu University, Kasuga 816, Japan. 2 Professor, Department of Civil Engineering, Nippon Bunri University, Oita 870-03, Japan. 3 Graduate student, Department of Earth System Science and Technology, Kyushu University, Kasuga 816, Japan. 3363 3364 COASTAL ENGINEERING 1996 wind Fig.l Sketch of sediment transport process in a nearshore zone under a storm. -
1D Laboratory Study on Wave-Induced Setup Over A
1 LES Modeling of Tsunami-like Solitary Wave Processes 2 over Fringing Reefs 3 4 Yu Yao1, 4, Tiancheng He1, Zhengzhi Deng2*, Long Chen1, 3, Huiqun Guo1 5 6 1 School of Hydraulic Engineering, Changsha University of Science and Technology, 7 Changsha, Hunan 410114, China. 8 2 Ocean College, Zhejiang University, Zhoushan, Zhejiang 316021, China. 9 3 Key Laboratory of Water-Sediment Sciences and Water Disaster Prevention of 10 Hunan Province, Changsha 410114, China. 11 4Key Laboratory of Coastal Disasters and Defence of Ministry of Education, 12 Nanjing, Jiangsu 210098, China 13 14 15 16 * Corresponding author: Zhengzhi Deng 17 E-mail: [email protected] 18 Tel: +86 15068188376 19 1 20 ABSTRACT 21 Many low-lying tropical and sub-tropical reef-fringed coasts are vulnerable to 22 inundation during tsunami events. Hence accurate prediction of tsunami wave 23 transformation and runup over such reefs is a primary concern in the coastal management 24 of hazard mitigation. To overcome the deficiencies of using depth-integrated models in 25 modeling tsunami-like solitary waves interacting with fringing reefs, a three-dimensional 26 (3D) numerical wave tank based on the Computational Fluid Dynamics (CFD) tool 27 OpenFOAM® is developed in this study. The Navier-Stokes equations for two-phase 28 incompressible flow are solved, using the Large Eddy Simulation (LES) method for 29 turbulence closure and the Volume of Fluid (VOF) method for tracking the free surface. 30 The adopted model is firstly validated by two existing laboratory experiments with 31 various wave conditions and reef configurations. The model is then applied to examine 32 the impacts of varying reef morphologies (fore-reef slope, back-reef slope, lagoon width, 33 reef-crest width) on the solitary wave runup. -
Coastal Processes 1
The University of the West Indies Organization of American States PROFESSIONAL DEVELOPMENT PROGRAMME: COASTAL INFRASTRUCTURE DESIGN, CONSTRUCTION AND MAINTENANCE A COURSE IN COASTAL ZONE/ISLAND SYSTEMS MANAGEMENT CHAPTER 3 COASTAL PROCESSES 1 By PATRICK HOLMES, PhD Professor, Department of Civil and Environmental Engineering Imperial College, London Organized by Department of Civil Engineering, The University of the West Indies, in conjunction with Old Dominion University, Norfolk, VA, USA and Coastal Engineering Research Centre, US Army, Corps of Engineers, Vicksburg, MS , USA. Antigua, West Indies, June 18-22, 2001 THE PURPOSE OF COASTAL ENGINEERING RETURN ON CAPITAL INVESTMENT BENEFITS: Minimised Risk of Coastal Flooding - reduced costs and disruption to services in the future. Improved Environment, Preserve Beaches - visual, amenity, recreational…... COSTS: Construction costs & disruption during construction. Costs linked to avoidance of risks. (e.g., higher defences, higher costs, including visual/access impacts, but lower risks) ORIGINS OF COASTAL PROBLEMS 1. Define the Problem. • This needs to be based on sufficiently reliable INFORMATION and requires a DATA BASE. For example, is the beach eroding or is it just changing in shape seasonally and appears to have eroded after stormier conditions? Beaches change from “winter” to “summer” profiles quite regularly. • Many coastal problems result from incorrect previous engineering “solutions”. The sea is powerful and “cheap” solutions rarely work well. • If the supply of sand to a beach is cut off or reduced it will erode because beaches are always dynamic. It is a case of the balance between supply to versus loss from a given area. •A DATA BASE need not be extensive but in some cases information is essential and there is a COST involved.