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This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics. To make the book accessible to readers with diverse interests and backgrounds, the authors begin at a basic level and advance to numerical tools for increasingly difficult flow problems, emphasizing practical implementation rather than mathematical theory.?Finite Element Methods for Computational Fluid Dynamics: A Practical Guide?explains the basics of the finite element method (FEM) in the context of simple model problems, illustrated by numerical examples. It comprehensively reviews stabilization techniques for convection-dominated transport problems, introducing the reader to streamline diffusion methods, Petrov?Galerkin approximations, Taylor?Galerkin schemes, flux-corrected transport algorithms, and other nonlinear high-resolution schemes, and covers Petrov?Galerkin stabilization, classical projection schemes, Schur complement solvers, and the implementation of the k-epsilon turbulence model in its presentation of the FEM for incompressible flow problem. The book also describes the open-source finite element library ELMER, which is recommended as a software development kit for advanced applications in an online component.?
A Practical Guide to Large Scale Computational Fluid Dynamics Ian Eames, Christian Klettner and Andre Nicolle University College London, UK A practical guide to large scale computational fluid dynamics This book is a practical guide to large scale computational fluid dynamics which covers the main elements in writing large scale efficient fluid dynamics codes before considering the applications of these codes. A Practical Guide to Large Scale Computational Fluid Dynamics begins with an overview of fluid mechanics and the different methods (experimental, analytical and numerical) of analyzing fluid problems. It provides an introduction to the finite element method and the computational challenges encountered when writing largescale code and handling large data sets. The qualitative and quantitative diagnostics, which are essential to gaining physical insight, are presented and given in the fields of turbulence, fluid-structure interaction and free-surface flows. Finally, future trends are considered. Key features: Review of programming paradigms and open source high performance libraries which can be used to cut code development time. Extensive presentation of diagnostics which will help both numerical and experimental researchers. Provides validation cases which include a comprehensive list of common benchmark examples. Conceptual challenges from turbulent flows, fluid structure interaction and free surface flows are covered. Current state of the art research is described. Accompanied by a website hosting software and tutorials. The book is essential reading for postgraduate students, post-doctoral researchers and principal investigators who are writing large scale fluid mechanics codes and working with large datasets.