Nav:Home > Textbooks > Science & Mathematics > Development and testing of high-resolution upwind schemes: Upwind schemes for incompressible free surface flows

Press: VDM Verlag Dr. Müller (February 28, 2010)

ISBN:9783639218190

Author Name:Alves Bonfim De Queiroz, Rafael; Garcia, Valdemir;

Pages:284

Language:English

**Content**

The correct modeling of convection processes, without introducing excessive artificial damping while retaining reasonable accuracy, stability, boundedness, and algorithmic simplicity, plays a key role in reproducing complex flow physics.

In this book, we present the development and testing of high-resolution upwind schemes for controlling the numerical diffusion in general conservation laws and fluid dynamics problems.

In particular, the ALUS (Adaptive Linear Upwind Scheme) and TOPUS (Third-Order Polynomial Upwind Scheme) are developed.

These schemes are tested in 1D scalar transport, 1D convection-diffusion equations, 1D hyperbolic systems, 2D Euler equations, and in 2D/3D Navier-Stokes equations.

The schemes are then combined with a Reynolds stress algebraic equation model for the simulation of 2D incompressible turbulent flows with and without free surfaces.

The book is divided into several reasonably self-contained sections.

Successive sections deal with increasing levels of details.

This should help the reader to obtain a clear understanding of the text presented which includes both the basic concepts and many different ways of applying these concepts.

**Tags**

Textbooks,Science & Mathematics,Mathematics,Science & Math

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