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.
|Author||Rafael Alves Bonfim de Queiroz and Valdemir Garcia|
|Number of Pages||284|
|Country of Manufacture||India|
|Product Brand||VDM Verlag Dr. Müller|
|Product Packaging Info||Box|
|In The Box||1 Piece|
|Product First Available On ClickOnCare.com||2015-04-08 00:00:00|