Download or read book Numerical Methods for the Three dimensional Shallow Water Equations on Supercomputers written by E. D. de Goede and published by . This book was released on 1993 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Holl. Zusammenfass.
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 Shallow Water Hydrodynamics written by W.Y. Tan and published by Elsevier. This book was released on 1992-08-17 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within this monograph a comprehensive and systematic knowledge on shallow-water hydrodynamics is presented. A two-dimensional system of shallow-water equations is analyzed, including the mathematical and mechanical backgrounds, the properties of the system and its solution. Also featured is a new mathematical simulation of shallow-water flows by compressible plane flows of a special virtual perfect gas, as well as practical algorithms such as FDM, FEM, and FVM. Some of these algorithms have been utilized in solving the system, while others have been utilized in various applied fields. An emphasis has been placed on several classes of high-performance difference schemes and boundary procedures which have found wide uses recently for solving the Euler equations of gas dynamics in aeronautical and aerospatial engineering. This book is constructed so that it may serve as a handbook for practicians. It will be of interest to scientists, designers, teachers, postgraduates and professionals in hydraulic, marine, and environmental engineering; especially those involved in the mathematical modelling of shallow-water bodies.
Download or read book The Shallow Water Wave Equations Formulation Analysis and Application written by Ingemar Kinnmark and published by Springer. This book was released on 1985-11-01 with total page 0 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 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 Numerical Methods for the 3D Shallow Water Equations on Vector and Parallel Computers written by Erik D. de Goede and published by . This book was released on 1991 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The performance of both iteration methods is accelerated by a technique based on smoothing. Both explicit and implicit smoothing is examined. It turns out that the unconditionally stable method is more efficient than the conditionally stable methods."
Download or read book Numerical Solution of the Shallow water Equations written by F. W. Wubs and published by . This book was released on 1988 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computational Methods in Water Resources written by and published by . This book was released on 1996 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Methods for Shallow Water Equations written by Andrew Yershov and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dispersive Shallow Water Waves written by Gayaz Khakimzyanov and published by Springer Nature. This book was released on 2020-09-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Numerical Methods for the Shallow Water Equations written by Andreas Bollermann and published by . This book was released on 2011 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Numerical Methods for Water Resources written by W. L. Wood and published by Oxford University Press. This book was released on 1993 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical methods provide a powerful and essential tool for the solution of problems of water resources. This book gives an elementary introduction to the various methods in current use and demonstrates that different methods work well in different situations and some problems requirecombinations of methods. It is essential to know something of all of them in order to make a reasoned judgement of current practice. Their applications are discussed and more specialised versions are outlined along with many references making this an invaluable, comprehensive coverage of thefield.
Download or read book Efficient Numerical Methods for the Shallow Water Equations on the Sphere written by William Sawyer and published by . This book was released on 2006 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Time Splitting Method for the Three dimensional Shallow Water Equations written by Erik D. de Goede and published by . This book was released on 1990 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: The resulting method is mass conservative and efficient on vector and parallel computers. The accuracy, stability, and computational efficiency of this method is demonstrated for wind induced problems ina rectangular basis."
Download or read book Computational Methods in Water Resources IX written by T. F. Russell and published by Computational Mechanics. This book was released on 1992 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Numerical Treatment of the Advective Terms in 3D Shallow Water Models written by E. D. de Goede and published by . This book was released on 1991 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "In this paper we present a numerical method for the three-dimensional shallow water equations. These equations describe flows in e.g., shallow seas, rivers and estuaries. Since three-dimensional models require a great computational effort, the method is constructed in such a way that it fully exploits the facilities of vector and parallel computers. This two-stage method, which is unconditionally stable, is applied to a problem involving the development of a circulation in a rectangular basin and to a river problem in which a jetty has been situated."
Download or read book Numerical Solution of the Shallow water Equations written by Friederik Wilhelm Wubs and published by . This book was released on 1987 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
