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Submit a Proposal3D Modeling of Nonlinear Wave Phenomena on Shallow Water Surface
 | By Iftikhar B. Abbasov Copyright: 2018 | Status: Published ISBN: 9781119487968 | Hardcover | 272 pages Price: $195 USD  |
One Line Description
This is the most comprehensive and in-depth study of the study and modeling of wave phenomena on shallow water surface for the prediction and protection of environmental engineering and ecological systems, which can be used to protect against flooding and destruction during tsunamis, hurricanes and storms.
Audience
Oceanographers, coastal engineers, civil engineers, project engineers, statisticians, physicists, geophysicists, computer analysts, and any other engineer, student, or scientist working with ocean models
Oceanographers, coastal engineers, civil engineers, project engineers, statisticians, physicists, geophysicists, computer analysts, and any other engineer, student, or scientist working with ocean models
Description
With climate change, erosion, and human encroachment on coastal environments growing all over the world, it is increasingly important to protect populations and environments close to the sea from storms, tsunamis, and other events that can be not just costly to property but deadly. This book is one step in bringing the science of protection from these events forward, the most in-depth study of its kind ever published.
The analytic and numerical modeling problems of nonlinear wave activities in shallow water are analyzed in this work. Using the author’s unique method described herein, the equations of shallow water are solved, and asymmetries that cannot be described by the Stokes theory are solved. Based on analytical expressions, the impacts of dispersion effects to wave profiles transformation are taken into account. The 3D models of the distribution and refraction of nonlinear surface gravity wave at the various coast formations are introduced, as well.
The work covers the problems of numerical simulation of the run-up of nonlinear surface gravity waves in shallow water, transformation of the surface waves for the 1D case, and models for the refraction of numerical modeling of the run-up of nonlinear surface gravity waves at beach approach of various slopes. 2D and 3D modeling of nonlinear surface gravity waves are based on Navier-Stokes equations. In 2D modeling the influence of the bottom of the coastal zone on flooding of the coastal zone during storm surges was investigated. Various stages of the run-up of nonlinear surface gravity waves are introduced and analyzed. The 3D modeling process of the run-up is tested for the coast protection work of the slope type construction.
Useful for students and veteran engineers and scientists alike, this is the only book covering these important issues facing anyone working with coastal models and ocean, coastal, and civil engineering in this area.
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With climate change, erosion, and human encroachment on coastal environments growing all over the world, it is increasingly important to protect populations and environments close to the sea from storms, tsunamis, and other events that can be not just costly to property but deadly. This book is one step in bringing the science of protection from these events forward, the most in-depth study of its kind ever published.
The analytic and numerical modeling problems of nonlinear wave activities in shallow water are analyzed in this work. Using the author’s unique method described herein, the equations of shallow water are solved, and asymmetries that cannot be described by the Stokes theory are solved. Based on analytical expressions, the impacts of dispersion effects to wave profiles transformation are taken into account. The 3D models of the distribution and refraction of nonlinear surface gravity wave at the various coast formations are introduced, as well.
The work covers the problems of numerical simulation of the run-up of nonlinear surface gravity waves in shallow water, transformation of the surface waves for the 1D case, and models for the refraction of numerical modeling of the run-up of nonlinear surface gravity waves at beach approach of various slopes. 2D and 3D modeling of nonlinear surface gravity waves are based on Navier-Stokes equations. In 2D modeling the influence of the bottom of the coastal zone on flooding of the coastal zone during storm surges was investigated. Various stages of the run-up of nonlinear surface gravity waves are introduced and analyzed. The 3D modeling process of the run-up is tested for the coast protection work of the slope type construction.
Useful for students and veteran engineers and scientists alike, this is the only book covering these important issues facing anyone working with coastal models and ocean, coastal, and civil engineering in this area.
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Supplementary Data
• The processes of distortion of the surface gravity wave profile on the basis of the energy conservation law are analytically described.
• For the first time, the reasons for the asymmetry of the sharpening of the surface wave profile, which are not described by the Stokes theory, are indicated.
• Three-dimensional models of propagation and refraction of nonlinear surface gravitational waves on various shore formations are presented.
• The influence of the bottom of the coastal zone on flooding of the coastal zone during storm surges was studied. The process of three-dimensional modeling of run-up is investigated using the example of the construction of a coast protecting structure of a sloping type.
• The book presents photo illustrations of various wave processes in shallow-water bays.
• The processes of distortion of the surface gravity wave profile on the basis of the energy conservation law are analytically described.
• For the first time, the reasons for the asymmetry of the sharpening of the surface wave profile, which are not described by the Stokes theory, are indicated.
• Three-dimensional models of propagation and refraction of nonlinear surface gravitational waves on various shore formations are presented.
• The influence of the bottom of the coastal zone on flooding of the coastal zone during storm surges was studied. The process of three-dimensional modeling of run-up is investigated using the example of the construction of a coast protecting structure of a sloping type.
• The book presents photo illustrations of various wave processes in shallow-water bays.
Author / Editor Details
Iftikhar B. Abbasov PhD, is a specialist in computer engineering, aerospace engineering, and industrial design at the Southern Federal University in Russia. He has numerous publications to his credit, focusing on the use of mathematical modeling and high-level computer programming for practical applications, such as ocean exploration.
Iftikhar B. Abbasov PhD, is a specialist in computer engineering, aerospace engineering, and industrial design at the Southern Federal University in Russia. He has numerous publications to his credit, focusing on the use of mathematical modeling and high-level computer programming for practical applications, such as ocean exploration.
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Table of Contents
Preface vii
Introduction ix
1 Equations of Hydrodynamics 1
1.1 Features of the Problems in the Formulation
of Mathematical Physics 1
1.2 Classification of Linear Differential Equations
with Partial Derivatives of the Second Order 3
1.3 Nonlinear Equations of Fluid Dynamics 5
1.4 Methods for solving nonlinear equations 9
1.5 The Basic Laws of Hydrodynamics of an Ideal Fluid 11
1.6 Linear Equations of Hydrodynamic Waves 16
Conclusions 20
2 Modeling of Wave Phenomena on the Shallow Water Surface 23
2.1 Waves on the Sea Surface 23
2.2 Review of Research on Surface Gravity Waves 26
2.3 Investigation of Surface Gravity Waves 39
2.4 Spatial modeling of Wave Phenomena on Shallow
Water Surface 50
2.5 Actual Observations of Wave Phenomena on the Surface
of Shallow Water 57
2.6 Ship Waves. Reactive -- Ducks of the Alexander Garden 58
Conclusions 64
3 Modeling of Nonlinear Surface Gravity Waves in Shallow Water 65
3.1 Overview of Studies on Nonlinear Surface Gravity
Waves in Shallow Water 65
3.2 Nonlinear Models of Surface Gravity Waves
in Shallow Water 74
3.3 Solution of the Nonlinear Shallow Water Equation
by the Method of Successive Approximations 81
3.4 Modeling the Propagation of Nonlinear Surface
Gravity Waves in Shallow Water 86
3.5 Modeling the Refraction of Nonlinear Surface Gravity Waves 99
3.6 Modeling of Propagation and Refraction of Nonlinear
Surface Gravity Waves Under Shallow Water Conditions
with Account of Dispersion 109
Conclusions 117
4 Numerical Simulation of Nonlinear Surface Gravity Waves
in Shallow Water 119
4.1 Review of Studies on Computational Modeling
of Surface Waves 119
4.2 Statement of the Problem 132
4.3 The Research of a Discrete Model 138
4.4 Results of Numerical Modeling based on Shallow Water
Equations 139
4.5 Discussion and Comparison of Results 148
Conclusions 152
5 Two-Dimensional Numerical Simulation of the Run-Up
of Nonlinear Surface Gravity Waves 155
5.1 Statement of the Problem 155
5.2 Construction of a Discrete Finite-Volume Model 160
5.3 Discrete Model Research 169
5.4 Results of Two-Dimensional Numerical Modeling
and Their Analysis 171
5.5 Discussion and Comparison of Results 185
Conclusions 188
6 Three-Dimensional Numerical Modeling of the Runup
of Nonlinear Surface Gravity Waves 191
6.1 Statement of the Problem. Boundary and Initial Conditions 191
6.2 Construction of a Discrete Model 195
6.3 The Construction of a Discrete Finite-Volume Model 206
6.4 Discrete Model Research 229
6.5 Results of Three-Dimensional Numerical Modeling
and Their Analysis 230
6.6 Discussion and Comparison of Results 241
Conclusions 242
Conclusion 245
References 247
Index 261
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Preface vii
Introduction ix
1 Equations of Hydrodynamics 1
1.1 Features of the Problems in the Formulation
of Mathematical Physics 1
1.2 Classification of Linear Differential Equations
with Partial Derivatives of the Second Order 3
1.3 Nonlinear Equations of Fluid Dynamics 5
1.4 Methods for solving nonlinear equations 9
1.5 The Basic Laws of Hydrodynamics of an Ideal Fluid 11
1.6 Linear Equations of Hydrodynamic Waves 16
Conclusions 20
2 Modeling of Wave Phenomena on the Shallow Water Surface 23
2.1 Waves on the Sea Surface 23
2.2 Review of Research on Surface Gravity Waves 26
2.3 Investigation of Surface Gravity Waves 39
2.4 Spatial modeling of Wave Phenomena on Shallow
Water Surface 50
2.5 Actual Observations of Wave Phenomena on the Surface
of Shallow Water 57
2.6 Ship Waves. Reactive -- Ducks of the Alexander Garden 58
Conclusions 64
3 Modeling of Nonlinear Surface Gravity Waves in Shallow Water 65
3.1 Overview of Studies on Nonlinear Surface Gravity
Waves in Shallow Water 65
3.2 Nonlinear Models of Surface Gravity Waves
in Shallow Water 74
3.3 Solution of the Nonlinear Shallow Water Equation
by the Method of Successive Approximations 81
3.4 Modeling the Propagation of Nonlinear Surface
Gravity Waves in Shallow Water 86
3.5 Modeling the Refraction of Nonlinear Surface Gravity Waves 99
3.6 Modeling of Propagation and Refraction of Nonlinear
Surface Gravity Waves Under Shallow Water Conditions
with Account of Dispersion 109
Conclusions 117
4 Numerical Simulation of Nonlinear Surface Gravity Waves
in Shallow Water 119
4.1 Review of Studies on Computational Modeling
of Surface Waves 119
4.2 Statement of the Problem 132
4.3 The Research of a Discrete Model 138
4.4 Results of Numerical Modeling based on Shallow Water
Equations 139
4.5 Discussion and Comparison of Results 148
Conclusions 152
5 Two-Dimensional Numerical Simulation of the Run-Up
of Nonlinear Surface Gravity Waves 155
5.1 Statement of the Problem 155
5.2 Construction of a Discrete Finite-Volume Model 160
5.3 Discrete Model Research 169
5.4 Results of Two-Dimensional Numerical Modeling
and Their Analysis 171
5.5 Discussion and Comparison of Results 185
Conclusions 188
6 Three-Dimensional Numerical Modeling of the Runup
of Nonlinear Surface Gravity Waves 191
6.1 Statement of the Problem. Boundary and Initial Conditions 191
6.2 Construction of a Discrete Model 195
6.3 The Construction of a Discrete Finite-Volume Model 206
6.4 Discrete Model Research 229
6.5 Results of Three-Dimensional Numerical Modeling
and Their Analysis 230
6.6 Discussion and Comparison of Results 241
Conclusions 242
Conclusion 245
References 247
Index 261
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BISAC SUBJECT HEADINGS
TEC060000 : TECHNOLOGY & ENGINEERING / Marine & Naval
SCI052000 : SCIENCE / Earth Sciences / Oceanography
MAT038000 : MATHEMATICS / Topology
BIC CODES
RBKC: Oceanography (seas)
RNU: Sustainability
PHV: Applied physics
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