000			02840nam a22001937a 4500
003			OSt
005			20240925101722.0
008			240925b |||||||| |||| 00| 0 eng d
020			_a9783031613944
100			_aToro, Eleuterio F
245			_aComputational Algorithms for Shallow Water Equations/ _cEleuterio F. Toro
250			_a2nd ed.
260			_aSwitzerland: _bSpringer Nature, _c2024.
300			_axv,408 p.
505			_aThe Shallow Water Equations Notions on Hyperbolic Equations Linear Shallow Water Equations Properties of the Nonlinear Equations Elementary Waves in Shallow Water Exact Riemann Solver: Wet Bed Exact Riemann Solver: Dry Bed Tests with Exact Solution Notions on Numerical Methods First-Order Methods for Systems Approximate Riemann Solvers Second-Order Non-linear Methods Sources and Multidimensions ADER High-Order Methods DAM-BREAK Modelling Mach Reflection in Tsunamis
520			_aThis book is a thoroughly revised and enlarged version of “Shock-capturing methods for free-surface shallow flows", first published by Wiley and Sons, 2001. The book describes mathematically free-surface flows through partial differential equations and includes modern shock-capturing methods to solve them, with strong emphasis on finite volume upwind and centred methods. Such equations and methods are fundamental in simulating shallow water flows but also atmospheric flows, dispersion of dense gases and the dynamics of mixtures of materials. The book is accompanied by numerical software in the form of sample computer programs as supplementary material. In this new edition, additional sections have been introduced to existing chapters. Also, new chapters have been included; one contains a review of the mathematics of hyperbolic partial differential equations, another introduces the numerical analysis of partial differential equations and another one deals with advanced very-high order numerical methods in the finite volume and discontinuous Galerkin frameworks. Furthermore, comprehensive modifications and corrections have been made throughout various sections of the text, and numerous figures depicting numerical results have been enhanced. This book is primarily intended for environmental scientists, applied mathematicians and engineers in academia, research laboratories, industry and consultancy organisations. Senior undergraduate and postgraduate students involved with mathematical modelling and computational methods for environmental problems will benefit from studying this book. Lecturers could use most of the material for courses on numerical methods for wave propagation problems in hydraulics, oceanography, atmospherics and other geophysical fluid dynamics contexts.
650			_aGeophysical fluid dynamics
942			_2ddc _cBK _e23rd ed. _kTORO _m551.48
999			_c23128 _d23128