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Dispersive shallow water waves: theory, modeling, and numerical methods

This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal...

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Detalles Bibliográficos
Autores principales: Khakimzyanov, Gayaz, Dutykh, Denys, Fedotova, Zinaida, Gusev, Oleg
Lenguaje:eng
Publicado: Springer 2020
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-46267-3
http://cds.cern.ch/record/2740527
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author Khakimzyanov, Gayaz
Dutykh, Denys
Fedotova, Zinaida
Gusev, Oleg
author_facet Khakimzyanov, Gayaz
Dutykh, Denys
Fedotova, Zinaida
Gusev, Oleg
author_sort Khakimzyanov, Gayaz
collection CERN
description This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal balance between theory and applications. From modelling tsunami waves to smaller scale coastal processes, this book will be an indispensable resource for those looking to be brought up-to-date in this active area of scientific research. Beginning with an introduction to various dispersive long wave models on the flat space, the authors establish a foundation on which readers can confidently approach more advanced mathematical models and numerical techniques. The first two chapters of the book cover modelling and numerical simulation over globally flat spaces, including adaptive moving grid methods along with the operator splitting approach, which was historically proposed at the Institute of Computational Technologies at Novosibirsk. Later chapters build on this to explore high-end mathematical modelling of the fluid flow over deformed and rotating spheres using the operator splitting approach. The appendices that follow further elaborate by providing valuable insight into long wave models based on the potential flow assumption, and modified intermediate weakly nonlinear weakly dispersive equations. Dispersive Shallow Water Waves will be a valuable resource for researchers studying theoretical or applied oceanography, nonlinear waves as well as those more broadly interested in free surface flow dynamics.
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spelling cern-27405272021-04-21T16:45:48Zdoi:10.1007/978-3-030-46267-3http://cds.cern.ch/record/2740527engKhakimzyanov, GayazDutykh, DenysFedotova, ZinaidaGusev, OlegDispersive shallow water waves: theory, modeling, and numerical methodsMathematical Physics and MathematicsThis monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal balance between theory and applications. From modelling tsunami waves to smaller scale coastal processes, this book will be an indispensable resource for those looking to be brought up-to-date in this active area of scientific research. Beginning with an introduction to various dispersive long wave models on the flat space, the authors establish a foundation on which readers can confidently approach more advanced mathematical models and numerical techniques. The first two chapters of the book cover modelling and numerical simulation over globally flat spaces, including adaptive moving grid methods along with the operator splitting approach, which was historically proposed at the Institute of Computational Technologies at Novosibirsk. Later chapters build on this to explore high-end mathematical modelling of the fluid flow over deformed and rotating spheres using the operator splitting approach. The appendices that follow further elaborate by providing valuable insight into long wave models based on the potential flow assumption, and modified intermediate weakly nonlinear weakly dispersive equations. Dispersive Shallow Water Waves will be a valuable resource for researchers studying theoretical or applied oceanography, nonlinear waves as well as those more broadly interested in free surface flow dynamics.Springeroai:cds.cern.ch:27405272020
spellingShingle Mathematical Physics and Mathematics
Khakimzyanov, Gayaz
Dutykh, Denys
Fedotova, Zinaida
Gusev, Oleg
Dispersive shallow water waves: theory, modeling, and numerical methods
title Dispersive shallow water waves: theory, modeling, and numerical methods
title_full Dispersive shallow water waves: theory, modeling, and numerical methods
title_fullStr Dispersive shallow water waves: theory, modeling, and numerical methods
title_full_unstemmed Dispersive shallow water waves: theory, modeling, and numerical methods
title_short Dispersive shallow water waves: theory, modeling, and numerical methods
title_sort dispersive shallow water waves: theory, modeling, and numerical methods
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-46267-3
http://cds.cern.ch/record/2740527
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AT dutykhdenys dispersiveshallowwaterwavestheorymodelingandnumericalmethods
AT fedotovazinaida dispersiveshallowwaterwavestheorymodelingandnumericalmethods
AT gusevoleg dispersiveshallowwaterwavestheorymodelingandnumericalmethods