國立高雄大學圖資館 |

Language: English

Back

Dispersive shallow water wavestheory...

Khakimzyanov, Gayaz.

Dispersive shallow water wavestheory, modeling, and numerical methods /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dispersive shallow water wavesby Gayaz Khakimzyanov ... [et al.].
Reminder of title:	theory, modeling, and numerical methods /
other author:	Khakimzyanov, Gayaz.
Published:	Cham :Springer International Publishing :2020.
Description:	xx, 284 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Wave-motion, Theory of.
Online resource:	https://doi.org/10.1007/978-3-030-46267-3
ISBN:	9783030462673$q(electronic bk.)

Dispersive shallow water wavestheory, modeling, and numerical methods /
Dispersive shallow water wavestheory, modeling, and numerical methods /[electronic resource] :by Gayaz Khakimzyanov ... [et al.]. - Cham :Springer International Publishing :2020. - xx, 284 p. :ill., digital ;24 cm. - Lecture notes in geosystems mathematics and computing,2730-5996. - Lecture notes in geosystems mathematics and computing..

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.

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.

ISBN: 9783030462673$q(electronic bk.)

Standard No.: 10.1007/978-3-030-46267-3doiSubjects--Topical Terms:

208684
Wave-motion, Theory of.

LC Class. No.: QA927 / .K43 2020

Dewey Class. No.: 532.0593

Dispersive shallow water wavestheory, modeling, and numerical methods /
LDR:02953nmm a2200349 a 4500 001 586234
003 DE-He213
005 20210128115942.0
006 m d
007 cr nn 008maaau
008 210323s2020 sz s 0 eng d
020 $a 9783030462673$q(electronic bk.)
020 $a 9783030462666$q(paper)
024 7 $a 10.1007/978-3-030-46267-3 $2 doi
035 $a 978-3-030-46267-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA927 $b .K43 2020
072 7 $a PBWH $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBWH $2 thema
072 7 $a TBJ $2 thema
082 0 4 $a 532.0593 $2 23
090 $a QA927 $b .D612 2020
245 0 0 $a Dispersive shallow water waves $h [electronic resource] : $b theory, modeling, and numerical methods / $c by Gayaz Khakimzyanov ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2020.
300 $a xx, 284 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in geosystems mathematics and computing, $x 2730-5996
505 0 $a 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.
520 $a 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.
650 0 $a Wave-motion, Theory of. $3 208684
650 0 $a Mathematical models. $3 182479
650 0 $a Fluid dynamics. $3 186085
650 0 $a Numerical analysis. $3 182073
650 0 $a Oceanography. $3 194643
650 1 4 $a Mathematical Modeling and Industrial Mathematics. $3 274070
650 2 4 $a Numerical Analysis. $3 275681
700 1 $a Khakimzyanov, Gayaz. $3 877610
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in geosystems mathematics and computing. $3 728071
856 4 0 $u https://doi.org/10.1007/978-3-030-46267-3
950 $a Mathematics and Statistics (SpringerNature-11649)