Download or read book Evaluation of Time Integrators for the Shallow water Equations written by F. W. Wubs and published by . This book was released on 1984 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Methods for Shallow Water Flow written by C.B. Vreugdenhil and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Shallow Water Wave Equations Formulation Analysis and Application written by Ingemar Kinnmark and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. 1 AREAS OF APPLICATION FOR THE SHALLOW WATER EQUATIONS The shallow water equations describe conservation of mass and mo mentum in a fluid. They may be expressed in the primitive equation form Continuity Equation _ a, + V. (Hv) = 0 L(l;,v;h) at (1. 1) Non-Conservative Momentum Equations a M("vjt,f,g,h,A) = at(v) + (v. V)v + tv - fkxv + gV, - AIH = 0 (1. 2) 2 where is elevation above a datum (L) ~ h is bathymetry (L) H = h + C is total fluid depth (L) v is vertically averaged fluid velocity in eastward direction (x) and northward direction (y) (LIT) t is the non-linear friction coefficient (liT) f is the Coriolis parameter (liT) is acceleration due to gravity (L/T2) g A is atmospheric (wind) forcing in eastward direction (x) and northward direction (y) (L2/T2) v is the gradient operator (IlL) k is a unit vector in the vertical direction (1) x is positive eastward (L) is positive northward (L) Y t is time (T) These Non-Conservative Momentum Equations may be compared to the Conservative Momentum Equations (2. 4). The latter originate directly from a vertical integration of a momentum balance over a fluid ele ment. The former are obtained indirectly, through subtraction of the continuity equation from the latter. Equations (1. 1) and (1. 2) are valid under the following assumptions: 1. The fluid is well-mixed vertically with a hydrostatic pressure gradient. 2. The density of the fluid is constant.

Download or read book Computational Algorithms for Shallow Water Equations written by Eleuterio F. Toro and published by Springer Nature. This book was released on with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Time Integration of the Shallow Water Equations in Spherical Geometry written by D. Lanser and published by . This book was released on 2000 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1987 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Review of Literature on the Finite element Solution of the Equations of Two dimensional Surface water Flow in the Horizontal Plane written by Jonathan K. Lee and published by . This book was released on 1987 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stabilzazion of a time integrator for the 3D shallow water equations by smoothing techniques written by Erik D. de Goede and published by . This book was released on 1989 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Monthly Weather Review written by and published by . This book was released on 1993 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Waiting time solutions of the shallow water equations written by R E. Grundy and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government Reports Announcements Index written by and published by . This book was released on 1991-03 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fourier Analysis of Numerical Approximations of Hyperbolic Equations written by R. Vichnevetsky and published by SIAM. This book was released on 1982-01-01 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides useful reference material for those concerned with the use of Fourier analysis and computational fluid dynamics.

Download or read book Stabilization of a Time Integrator for the 3D Shallow Water Equations by Smoothing Techniques written by Erik D. de Goede and published by . This book was released on 1989 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "A smoothing technique is applied to improve the stability of a semi-implicit time integrator for the three-dimensional shallow water equations. In this method the vertical terms are treated implicitly. The stability condition on the time step only depends on the horizontal mesh sizes. Therefore, in horizontal direction an explicit smoothing operator is added. Due to the smoothing, the maximally stable time step increases considerably, while the accuracy is hardly affected. Moreover, it turns out that the explicit smoothing operator is efficient on any type of computer. In particular, the smoothing operator is very efficient on vector and parallel computers."

Download or read book Performance Evaluation of Explicit Shallow water Equations Solver on the Cyber 205 written by F. W. Wubs and published by . This book was released on 1985 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Uncertainties in Numerical Weather Prediction written by Haraldur Olafsson and published by Elsevier. This book was released on 2020-11-25 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainties in Numerical Weather Prediction is a comprehensive work on the most current understandings of uncertainties and predictability in numerical simulations of the atmosphere. It provides general knowledge on all aspects of uncertainties in the weather prediction models in a single, easy to use reference. The book illustrates particular uncertainties in observations and data assimilation, as well as the errors associated with numerical integration methods. Stochastic methods in parameterization of subgrid processes are also assessed, as are uncertainties associated with surface-atmosphere exchange, orographic flows and processes in the atmospheric boundary layer. Through a better understanding of the uncertainties to watch for, readers will be able to produce more precise and accurate forecasts. This is an essential work for anyone who wants to improve the accuracy of weather and climate forecasting and interested parties developing tools to enhance the quality of such forecasts. Provides a comprehensive overview of the state of numerical weather prediction at spatial scales, from hundreds of meters, to thousands of kilometers Focuses on short-term 1-15 day atmospheric predictions, with some coverage appropriate for longer-term forecasts Includes references to climate prediction models to allow applications of these techniques for climate simulations

Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1990 with total page 1162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Evaluation of the Proposed New Unified Model Scheme Vs the Current Unified Model Scheme on the Shallow Water Equations written by A. J. Malcolm and published by . This book was released on 1996 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: