Download Shock-Capturing Methods for Free-Surface Shallow Flows PDF EPUB
Author: Eleuterio F. Toro
Pages: 326
Size: 874,72 Kb
Publication Date: 2015
Category: Fluid Dynamics
The to begin its kind in the field, this title examines the usage of contemporary, shock-capturing finite volume numerical methods, in the perfect solution is of partial differential equations connected with free-surface flows, which fulfill the shallow-water type assumption (including shallow water flows, dense gases and mixtures of components as special samples).
You start with a general demonstration of the governing equations for free-surface area shallow flows and a debate of their physical applicability, the book continues on to analyse the mathematical properties of the equations, in planning for the demonstration of the exact option of the Riemann issue for wet and dried out beds. Approximate Riemann solvers pursuing different approaches are studied at length as is their make use of in the Godunov strategy for constructing low and high-order upwind TVD strategies. After a general intro to the finite quantity approach, many chapters are then specialized in describing a number of contemporary shock-capturing finite quantity numerical strategies, including Godunov ways of the upwind and centred type. Centred TVD schemes are also provided.
Features consist of:
* Algorithmic and practical demonstration of the techniques
* Useful applications such as for example dam-break modelling and the analysis of bore reflection patterns in two space measurements
* Sample pc applications and accompanying numerical software program (details offered by www. The reserve finishes with a synopsis of potential useful applications of the techniques studied, along with suitable mention of sources of more info. Two chapters are after that devoted to useful applications. Selected portions of the materials can also be useful in teaching last year undergraduate college students in the above disciplines.com)
The book would work for teaching postgraduate learners of civil, mechanical, hydraulic and environmental engineering, meteorology, oceanography, liquid mechanics and applied mathematics.numeritek. The contents may also be of curiosity to research researchers and engineers in academia and analysis and consultancy laboratories.