Computational fluid dynamics (CFD) and optimal shape design (OSD) are of practical importance for many engineering applications - the aeronautic, automobile, and nuclear industries are all major users of these technologies. Giving the state of the art in shape optimization for an extended range of applications, this new edition explains the equations needed to understand OSD problems for fluids (Euler and Navier Strokes, but also those for microfluids) and covers numerical simulation techniques. Automatic differentiation, approximate gradients, unstructured mesh adaptation, multi-model configurations, and time-dependent problems are introduced, illustrating how these techniques are implemented within the industrial environments of the aerospace and automobile industries. With the dramatic increase in computing power since the first edition, methods that were previously unfeasible have begun giving results. The book remains primarily one on differential shape optimization, but the coverage of evolutionary algorithms, topological optimization methods, and level set algortihms has been expanded so that each of these methods is now treated in a separate chapter. Presenting a global view of the field with simple mathematical explanations, coding tips and tricks, analytical and numerical tests, and exhaustive referencing, the book will be essential reading for engineers interested in the implementation and solution of optimization problems. Whether using commercial packages or in-house solvers, or a graduate or researcher in aerospace or mechanical engineering, fluid dynamics, or CFD, the second edition will help the reader understand and solve design problems in this exciting area of research and development, and will prove especially useful in showing how to apply the methodology to practical problems.

Applied Shape Optimization for Fluids (Numerical Mathematics and Scientific Computation)

Reference

Pironneau, Olivier

Mohammadi, Bijan

Words, Language & Grammar

Oxford University Press

Introduces the formulation of problems in fuild mechanics and dynamics, and shows how they can be analyzed and resolved using finite element methods. This practical book also discusses the equations of fluid mechanics and investigates the problems to which these equations can be applied, as well as how they can be analyzed and solved. Contains illustrations of computer simulations using the methods described in the book and features numerous illustrations.

Finite Element Methods for Fluids

Science & Math

Physics

wiley

Aimed at applied mathematicians interested in the numerical simulation of turbulent flows. Centered around the k-&amp;epsis; model, it also deals with other models such as one equation models, subgrid scale models and Reynolds Stress models. Presents the k-&amp;epsis; method for turbulence in a language familiar to applied mathematicians, but has none of the technicalities of turbulence theory.

Analysis of the K-Epsilon Turbulence Model (Wiley-Masson Series Research in Applied Mathematics)

Mohammadi, B.

Mathematics

This book presents state-of-the-art lectures on complex flows of fundamental and industrial interest in the subsonic, supersonic and hypersonic regimes. Experimental investigations of unsteady separated flows, high-enthalpy flows, 3D configurations, laminar and transitional flows are addressed. Theoretical predictions of aerodynamic performances are provided along with analyses of supersonic combustion, detonation, simulation of reactive mixing layer and non-equilibrium flow. Computational Fluid Dynamics methods for the simulation of viscous compressible flow, inviscid viscous flow interactions, real-gas effects in rarefied flow, flows about bodies with permeable walls and supersonic turbulent flows are finally developed and analysed.

Experimentation Modeling and Computation in Flow, Turbulence and Combustion (Computational Methods in Mechanics and Applied Sciences)

Périaux, Jacques

Chetversuhkin, B. N.

Kuznetsov, Y. A.

Muzafariv, Kh. A.

Désidéri, J. A.

Volume 2 of this significant work presents previously unpublished cutting-edge lectures from the Third French-Russian Workshop on Fluid Dynamics held in Tashkent in April 1995. Reflecting the Workshop?s main themes, this book particularly focuses on: 
<ul>
<li>expermental investigation of unsteady separated flow, 3D configurations, laminar and transitional flows, turbulent shock, shock interaction in hypersonic flow, pressure pulsation in separated flows and jets and high enthalpy flows using wind tunnels.</li> <li>modeling of free surface flows, natural gas combustion, vortical gas flows and acoustic processes in complex channels, non-equilibrium hypersonic viscous flows, wall law for fluids and compressible fluid jets with vortex zones.</li> <li>theoretical predictions of aerodynamic performances with analyses of supersonic combustion, detonation, and sumulation of reactive mixing layer.</li> <li>solution methods for quasilinear parabolic equations and other calculations including incompressible Navier Stokes equations and parabolic equations by Monte-Carlo methods.</li> <li>numerical algorithms for the simulation of atmospheric gas dynamics, kinetic schemes for viscous gas dynamic flows and evolutionary algorithms for complex optimization problems.</li> </ul> This book will be of particular interest to all engineers and research scientists in Fluid Dynamics, Aeronautics, Aerospace and Mechanical or Applied Mathematics.

Experimentation Modeling and Computation in Flow, Turbulence and Combustion (Computational Methods in Mechanics and Applied Sciences) (Volume 2)

P?riaux, Jacques

D?sid?ri, J. A.

This book presents the basic scientific computing methods for the solution of partial differential equations (PDEs) as they occur in engineering problems. Programming codes in Fortran and C are included for each problem. Opening with the definition of the programming environment for the solving of PDE systems, it then addresses in detail the programming of the model problem by the finite element method. Efficiency, compact storage pre-conditioning and mesh adaption are also presented. General elliptic problems and evolution problems are then dealt with. Finally, topics related to other numerical methods, algorithms for parallel computing and multi processor computers are detailed. An integrated software package which illustrates the featured programs of PDEs is available on the Internet via anonymous FTP. The methods presented have applications in numerous fields of engineering including shape optimisation, nuclear safety, heat transfer, acoustics, mechanics of fluids and elasticity, and are also relevant to other areas such as pollution, meteorology, biology, etc.

Introduction to Scientific Computing

Lucquin, Brigitte

Computers & Technology

This volume addresses the methods for solving partial differential equations (PDE) systems. The reader should learn how to write computer programs for the numerical analysis of practical engineering problems. Illustrated by examples, it starts by the definition of a programming environment for the solving of PDE systems by the finite element method. Programming the model problem by a finite element method is then addressed in detail. General elliptic problems and evolution problems are then dealt with. Finally, complements on numerical methods, algorithms for parallel computing and multiprocessor computers are presented.

John Wiley&Sons, Inc.

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Books by Pironneau, Olivier