LEADER 03399nam 2200505 450 001 996418264303316 005 20210210210920.0 010 $a3-030-46267-6 024 7 $a10.1007/978-3-030-46267-3 035 $a(CKB)4100000011457776 035 $a(DE-He213)978-3-030-46267-3 035 $a(MiAaPQ)EBC6350753 035 $a(PPN)250222272 035 $a(EXLCZ)994100000011457776 100 $a20210210d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDispersive shallow water waves $etheory, modeling, and numerical methods /$fGayaz Khakimzyanov [and three others] 205 $a1st ed. 2020. 210 1$aCham, Switzerland :$cBirkha?user,$d[2020] 210 4$dİ2020 215 $a1 online resource (XX, 284 p. 46 illus., 33 illus. in color.) 225 1 $aLecture Notes in Geosystems Mathematics and Computing,$x2730-5996 311 $a3-030-46266-8 327 $aModel 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. 330 $aThis monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal balance between theory and applications. From modelling tsunami waves to smaller scale coastal processes, this book will be an indispensable resource for those looking to be brought up-to-date in this active area of scientific research. Beginning with an introduction to various dispersive long wave models on the flat space, the authors establish a foundation on which readers can confidently approach more advanced mathematical models and numerical techniques. The first two chapters of the book cover modelling and numerical simulation over globally flat spaces, including adaptive moving grid methods along with the operator splitting approach, which was historically proposed at the Institute of Computational Technologies at Novosibirsk. Later chapters build on this to explore high-end mathematical modelling of the fluid flow over deformed and rotating spheres using the operator splitting approach. The appendices that follow further elaborate by providing valuable insight into long wave models based on the potential flow assumption, and modified intermediate weakly nonlinear weakly dispersive equations. Dispersive Shallow Water Waves will be a valuable resource for researchers studying theoretical or applied oceanography, nonlinear waves as well as those more broadly interested in free surface flow dynamics. 410 0$aLecture Notes in Geosystems Mathematics and Computing,$x2730-5996 606 $aWave-motion, Theory of 606 $aMathematical models 606 $aFluid dynamics 615 0$aWave-motion, Theory of. 615 0$aMathematical models. 615 0$aFluid dynamics. 676 $a531.1133 700 $aKhakimzyanov$b Gayaz$0926039 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418264303316 996 $aDispersive shallow water waves$92079095 997 $aUNISA