Dispersive Shallow Water Waves

Theory, Modeling, and Numerical Methods

Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova, Oleg Gusev (Autoren)

Buch | Softcover

XX, 284 Seiten

2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-46266-6 (ISBN)

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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.

Model Derivation on a Globally Flat Space.- Numerical Simulation on a Globally Flat Space.- Model Derivation on a Globally Spherical Geometry.- Numerical Simulation on a Globally Spherical Geometry.

Erscheinungsdatum	18.09.2020
Reihe/Serie	Lecture Notes in Geosystems Mathematics and Computing
Zusatzinfo	XX, 284 p. 46 illus., 33 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	468 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Dispersive models • Dispersive wave • Dispersive wave equation • Fluid Flow Simulation • Fluid Flow spheres • Moving grid method • Moving mesh method • Nonlinear dispersive waves • Operator Splitting • Tsunami wave model • Water wave model • wave propagation • Weakly Nonlinear Waves
ISBN-10	3-030-46266-8 / 3030462668
ISBN-13	978-3-030-46266-6 / 9783030462666
Zustand	Neuware