Shallow Flows

Shallow Flows
Author: Gerhard H. Jirka
Publisher: CRC Press
Total Pages: 692
Release: 2004-09-15
Genre: Science
ISBN: 9780203027325

This text presents the key findings of the International Symposium held in Delft in 2003, which explored the process of shallow flows. Shallow flows are found in lowland rivers, lakes, estuaries, bays, coastal areas and in density-stratified atmospheres, and may be observed in puddles, as in oceans. They impact on the life and work of a w

Numerical Methods for Shallow-Water Flow

Numerical Methods for Shallow-Water Flow
Author: C.B. Vreugdenhil
Publisher: Springer Science & Business Media
Total Pages: 273
Release: 2013-03-09
Genre: Science
ISBN: 9401583544

A wide variety of problems are associated with the flow of shallow water, such as atmospheric flows, tides, storm surges, river and coastal flows, lake flows, tsunamis. Numerical simulation is an effective tool in solving them and a great variety of numerical methods are available. The first part of the book summarizes the basic physics of shallow-water flow needed to use numerical methods under various conditions. The second part gives an overview of possible numerical methods, together with their stability and accuracy properties as well as with an assessment of their performance under various conditions. This enables the reader to select a method for particular applications. Correct treatment of boundary conditions (often neglected) is emphasized. The major part of the book is about two-dimensional shallow-water equations but a discussion of the 3-D form is included. The book is intended for researchers and users of shallow-water models in oceanographic and meteorological institutes, hydraulic engineering and consulting. It also provides a major source of information for applied and numerical mathematicians.

Shock-Capturing Methods for Free-Surface Shallow Flows

Shock-Capturing Methods for Free-Surface Shallow Flows
Author: E. F. Toro
Publisher:
Total Pages: 336
Release: 2001-03-30
Genre: Mathematics
ISBN:

The first of its kind in the field, this title examines the use of modern, shock-capturing finite volume numerical methods, in the solution of partial differential equations associated with free-surface flows, which satisfy the shallow-water type assumption (including shallow water flows, dense gases and mixtures of materials as special samples). Starting with a general presentation of the governing equations for free-surface shallow flows and a discussion of their physical applicability, the book goes on to analyse the mathematical properties of the equations, in preparation for the presentation of the exact solution of the Riemann problem for wet and dry beds. After a general introduction to the finite volume approach, several chapters are then devoted to describing a variety of modern shock-capturing finite volume numerical methods, including Godunov methods of the upwind and centred type. Approximate Riemann solvers following various approaches are studied in detail as is their use in the Godunov approach for constructing low and high-order upwind TVD methods. Centred TVD schemes are also presented. Two chapters are then devoted to practical applications. The book finishes with an overview of potential practical applications of the methods studied, along with appropriate reference to sources of further information. Features include: * Algorithmic and practical presentation of the methods * Practical applications such as dam-break modelling and the study of bore reflection patterns in two space dimensions * Sample computer programs and accompanying numerical software (details available at www.numeritek.com) The book is suitable for teaching postgraduate students of civil, mechanical, hydraulic and environmental engineering, meteorology, oceanography, fluid mechanics and applied mathematics. Selected portions of the material may also be useful in teaching final year undergraduate students in the above disciplines. The contents will also be of interest to research scientists and engineers in academia and research and consultancy laboratories.

Free-Surface Flow:

Free-Surface Flow:
Author: Nikolaos D. Katopodes
Publisher: Butterworth-Heinemann
Total Pages: 850
Release: 2018-08-30
Genre: Technology & Engineering
ISBN: 0128154888

Free-Surface Flow: Shallow-Water Dynamics presents a novel approach to this phenomenon. It bridges the gap between traditional books on open-channel flow and analytical fluid mechanics. Shallow-water theory is established by formal integration of the Navier-Stokes equations, and boundary resistance is developed by a rigorous construction of turbulent flow models for channel flow. In addition, the book presents a comprehensive description of shallow-water waves by mathematical analysis. These methods form the foundation for understanding flood routing, sudden water releases, dam and levee break, sluice gate dynamics and wave-current interaction. - Bridges the gap between traditional books on open-channel flow and wave mechanics - Presents a comprehensive description of shallow-water waves by characteristic and bicharacteristic analysis - Presents techniques for wave control and active flood mitigation

Lattice Boltzmann Methods for Shallow Water Flows

Lattice Boltzmann Methods for Shallow Water Flows
Author: Jian Guo Zhou
Publisher: Springer Science & Business Media
Total Pages: 136
Release: 2004-01-12
Genre: Science
ISBN: 9783540407461

This book describes a modern numerical technique, a lattice Boltzmann method, for shallow water flows with or without flow turbulence. This method requires only a simple microscopic equation to determine the depth and velocity based on its recovered macroscopic properties. The method is accurate and efficient for simulating complicated flows and flows within complex geometries, so it is becoming a powerful design tool in fluids engineering. The book may be used as a reference for scientists and engineers, a practical guide to the method for consultant organisations, and a textbook for graduates in engineering sciences such as coastal, civil and environmental engineering.

Modeling Shallow Water Flows Using the Discontinuous Galerkin Method

Modeling Shallow Water Flows Using the Discontinuous Galerkin Method
Author: Abdul A. Khan
Publisher: CRC Press
Total Pages: 208
Release: 2014-03-03
Genre: Science
ISBN: 1482226022

This book introduces the discontinuous Galerkin (DG) method and its application to shallow water flows. The emphasis is to show details and modifications required to apply the scheme to real-world flow problems. It allows the readers to understand and develop robust and efficient computer simulation models that can be used to model flow, contaminant transport, and other factors in rivers and coastal environments. The book includes a large set of tests to illustrate the use of the model for a wide range of applications.

Environmental Fluid Mechanics

Environmental Fluid Mechanics
Author: Wolfgang Rodi
Publisher: CRC Press
Total Pages: 456
Release: 2012-05-28
Genre: Science
ISBN: 0203803965

This book contains the written versions of invited lectures presented at the Gerhard H. Jirka Memorial Colloquium on Environmental Fluid Mechanics, held June 3-4, 2011, in Karlsruhe, Germany. Professor Jirka was widely known for his outstanding work in Environmental Fluid Mechanics, and 23 eminent world-leading experts in this field contributed to

Buoyancy-Driven Flows

Buoyancy-Driven Flows
Author: Eric P. Chassignet
Publisher: Cambridge University Press
Total Pages: 445
Release: 2012-03-05
Genre: Science
ISBN: 1107079993

Buoyancy is one of the main forces driving flows on our planet, especially in the oceans and atmosphere. These flows range from buoyant coastal currents to dense overflows in the ocean, and from avalanches to volcanic pyroclastic flows on the Earth's surface. This book brings together contributions by leading world scientists to summarize our present theoretical, observational, experimental and modeling understanding of buoyancy-driven flows. Buoyancy-driven currents play a key role in the global ocean circulation and in climate variability through their impact on deep-water formation. Buoyancy-driven currents are also primarily responsible for the redistribution of fresh water throughout the world's oceans. This book is an invaluable resource for advanced students and researchers in oceanography, geophysical fluid dynamics, atmospheric science and the wider Earth sciences who need a state-of-the-art reference on buoyancy-driven flows.

Water Quality Hazards and Dispersion of Pollutants

Water Quality Hazards and Dispersion of Pollutants
Author: Wlodzimierz Czernuszenko
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2005-12-05
Genre: Technology & Engineering
ISBN: 0387233229

This book provides timely fundamental research on the impact of pollutants on water quality with a focus on the catastrophic releases of pollutants into water supplies. Twelve invited papers provide comprehensive description and analysis of the recognition, description and modeling of physical, chemical and biological processes governing the fate of pollutants in an aquatic environment.