Press: VDM Verlag Dr. Müller (February 28, 2010)
Author Name:Alves Bonfim De Queiroz, Rafael; Garcia, Valdemir;
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.
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PDF Download And Online Read: Development and testing of high-resolution upwind schemes: Upwind schemes for incompressible free surface flows
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