ESSENTIAL COMPUTATIONAL FLUID DYNAMICS


 Gilbert Cross
 2 years ago
 Views:
Transcription
1 ESSENTIAL COMPUTATIONAL FLUID DYNAMICS Oleg Zikanov WILEY JOHN WILEY & SONS, INC.
2 CONTENTS PREFACE xv 1 What Is CFD? Introduction / Brief History of CFD / Outline of the Book / 6 References and Suggested Reading / 7 I Fundamentals 9 2 Governing Equations of Fluid Dynamics and Heat Transfer Preliminary Concepts / Mass Conservation / Conservation of Chemical Species / Conservation of Momentum / Conservation of Energy / Equation of State / Equations in Integral Form / Equations in Conservation Form / Equations in Vector Form / Boundary Conditions / Rigid Wall Boundary Conditions / Inlet and Exit Boundary Conditions / Other Boundary Conditions / 29 VII
3 VIII CONTENTS References and Suggested Reading / 30 Problems / 30 3 Partial Differential Equations Model Equations; Formulation of a PDE Problem / Model Equations / Domain, Boundary, and Initial Conditions / Equilibrium and Marching Problems / Examples / Mathematical Classification of PDE of Second Order / Classification / Hyperbolic Equations / Parabolic Equations / Elliptic Equations / Numerical Discretization: Different Kinds of CFD / Spectral Methods / Finite Element Methods / Finite Difference and Finite Volume Methods / 49 References and Suggested Reading / 52 Problems / 52 4 Basics of Finite Difference Approximation Computational Grid / Time Discretization / Space Discretization / Finite Differences and Interpolation / Approximation of Э и /Эх / Truncation Error, Consistency, Order of Approximation / Other Formulas for ди/дх: Evaluation of the Order of Approximation / Schemes of Higher Order for First Derivative / HigherOrder Derivatives / Mixed Derivatives / Truncation Error of Linear Interpolation / Approximation of Partial Differential Equations / Approach and Examples / 67
4 CONTENTS ix Interpretation of Truncation Error: Numerical Dissipation and Dispersion / Boundary and Initial Conditions / Consistency of Numerical Approximation / System of Difference Equations / Implicit and Explicit Methods / Development of Finite Difference Schemes / Taylor Series Expansions / Polynomial Fitting / 82 References and Suggested Reading / 83 Problems / 83 5 Finite Volume Method Introduction and Integral Formulation / Finite Volume Grid / Global Conservation Property / Approximation of Integrals / Volume Integrals / Surface Integrals / Methods of Interpolation / Upwind Interpolation / Linear Interpolation / Upwind Interpolation of Higher Order / Interpolation on Nonorthogonal Grids / Boundary Conditions / 101 References and Suggested Reading / 102 Problems / Stability of Transient Solutions Introduction and Definition of Stability / Discretization and Roundoff Error / Definition / Stability Analysis / Neumann Method / Matrix Method / Implicit versus Explicit Schemes Stability and Efficiency Considerations / 118 References and Suggested Reading / 120
5 X CONTENTS Problems / Application to Model Equations Linear Convection Equation / Simple Explicit Schemes / Other Schemes / OneDimensional Heat Equation / Simple Explicit Scheme / Simple Implicit Scheme / CrankNicolson Scheme / Burgers and Generic Transport Equations / Method of Lines Approach / Adams Methods / RungeKutta Methods / Implicit Schemes: Solution of Tridiagonal Systems by Thomas Algorithm / 136 References and Suggested Reading / 140 Problems / 140 II Methods SteadyState Problems Problems Reducible to Matrix Equations / Elliptic PDE / Implicit Integration of Nonsteady Equations / Direct Methods / BandDiagonal and BlockDiagonal Matrices / LU Decomposition / Iterative Methods / General Methodology / Jacobi Iterations / GaussSeidel Algorithm / Successive Over and Underrelaxation / Convergence of Iterative Procedures / Multigrid Methods / Pseudotransient Approach / Systems of Nonlinear Equations / 164
6 CONTENTS Xi Newton's Algorithm / Iteration Methods Using Linearization / Sequential Solution / 168 References and Suggested Reading / 168 Problems / Unsteady Problems of Fluid Flows and Heat Transfer Introduction / Compressible Flows / Overview and General Comments / Explicit MacCormack Method / BeamWarming Method / Upwinding / Methods for Purely Hyperbolic Systems / Unsteady Conduction Heat Transfer / Simple Methods for Multidimensional Heat Conduction / Approximate Factorization / ADI Method / 191 References and Suggested Reading / 192 Problems / Incompressible Flows 196 Ю.1. General Considerations / Introduction / Role of Pressure / Discretization Approach / Colocated and Staggered Grids / Projection Method for Unsteady Flows / Explicit Schemes / Implicit Schemes / Projection Methods for SteadyState Flows / SIMPLE / SIMPLEC, SIMPLER, and PISO / Other Methods / VorticityStreamfunction Formulation for TwoDimensional Flows /218
7 XU CONTENTS Artificial Compressibility / 222 References and Suggested Reading / 222 Problems / 223 III ArtofCFD Turbulence Introduction / A Few Words About Turbulence / Why Is the Computation of Turbulent Flows Difficult? / Overview of Numerical Approaches / Direct Numerical Simulation (DNS) / Homogeneous Turbulence / Inhomogeneous Turbulence / ReynoldsAveraged NavierStokes (RANS) Models / ReynoldsAveraged Equations / Eddy Viscosity Hypothesis / Algebraic Models / TwoEquation Models / Numerical Implementation of RANS Models / LargeEddy Simulation (LES) / Filtered Equations / Closure Models / Implementation of LES in CFD Analysis: Numerical Resolution and NearWall Treatment / 255 References and Suggested Reading / 258 Problems / Computational Grids Introduction: Need for Irregular and Unstructured Grids / Irregular Structured Grids / Generation by Coordinate Transformation / Examples / Grid Quality / 268
8 CONTENTS Xiü Unstructured Grids / Grid Generation / Finite Volume Discretization on Unstructured Grids / Cell Topology / Grid Quality / 275 References and Suggested Reading / 278 Problems / Conducting CFD Analysis Overview: Setting and Solving a CFD Problem / Errors and Uncertainty / Errors in CFD Analysis / Verification and Validation / Adaptive Grids / 293 References and Suggested Reading / 295 INDEX 297
Numerical Methods for Engineers
Steven C. Chapra Berger Chair in Computing and Engineering Tufts University RaymondP. Canale Professor Emeritus of Civil Engineering University of Michigan Numerical Methods for Engineers With Software
More informationMEL 807 Computational Heat Transfer (204) Dr. Prabal Talukdar Assistant Professor Department of Mechanical Engineering IIT Delhi
MEL 807 Computational Heat Transfer (204) Dr. Prabal Talukdar Assistant Professor Department of Mechanical Engineering IIT Delhi Time and Venue Course Coordinator: Dr. Prabal Talukdar Room No: III, 357
More informationME6130 An introduction to CFD 11
ME6130 An introduction to CFD 11 What is CFD? Computational fluid dynamics (CFD) is the science of predicting fluid flow, heat and mass transfer, chemical reactions, and related phenomena by solving numerically
More informationAN INTRODUCTION TO NUMERICAL METHODS AND ANALYSIS
AN INTRODUCTION TO NUMERICAL METHODS AND ANALYSIS Revised Edition James Epperson Mathematical Reviews BICENTENNIAL 0, 1 8 0 7 z ewiley wu 2007 r71 BICENTENNIAL WILEYINTERSCIENCE A John Wiley & Sons, Inc.,
More informationChapter 1. Governing Equations of Fluid Flow and Heat Transfer
Chapter 1 Governing Equations of Fluid Flow and Heat Transfer Following fundamental laws can be used to derive governing differential equations that are solved in a Computational Fluid Dynamics (CFD) study
More informationLecture 5  Solution Methods. Applied Computational Fluid Dynamics
Lecture 5  Solution Methods Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (20022006) Fluent Inc. (2002) 1 Solution methods Focus on finite volume method.
More informationCourse Outline for the Masters Programme in Computational Engineering
Course Outline for the Masters Programme in Computational Engineering Compulsory Courses CP501 Mathematical Methods for Computational 3 EngineeringI CP502 Mathematical Methods for Computational 3 EngineeringII
More informationCOMPARISON OF SOLUTION ALGORITHM FOR FLOW AROUND A SQUARE CYLINDER
Ninth International Conference on CFD in the Minerals and Process Industries CSIRO, Melbourne, Australia  December COMPARISON OF SOLUTION ALGORITHM FOR FLOW AROUND A SQUARE CYLINDER Y. Saito *, T. Soma,
More informationAPPENDIX 3 CFD CODE  PHOENICS
166 APPENDIX 3 CFD CODE  PHOENICS 3.1 INTRODUCTION PHOENICS is a generalpurpose software code which predicts quantitatively the flow of fluids in and around engines, process equipment, buildings, human
More informationSolution methods for the Incompressible NavierStokes Equations
Solution methods for the Incompressible NavierStokes Equations Discretization schemes for the NavierStokes equations Pressurebased approach Densitybased approach Convergence acceleration Periodic Flows
More informationTECHNICAL BRIEF: Selected Benchmarks from Commercial CFD Codes
TECHNICAL BRIEF: Selected Benchmarks from Commercial CFD Codes For a large portion of the engineering community, the primary source of CFD capabilities is through the purchase of a commercial CFD code.
More informationModeling of Earth Surface Dynamics and Related Problems Using OpenFOAM
CSDMS 2013 Meeting Modeling of Earth Surface Dynamics and Related Problems Using OpenFOAM Xiaofeng Liu, Ph.D., P.E. Assistant Professor Department of Civil and Environmental Engineering University of Texas
More informationSIXTY STUDY QUESTIONS TO THE COURSE NUMERISK BEHANDLING AV DIFFERENTIALEKVATIONER I
Lennart Edsberg, Nada, KTH Autumn 2008 SIXTY STUDY QUESTIONS TO THE COURSE NUMERISK BEHANDLING AV DIFFERENTIALEKVATIONER I Parameter values and functions occurring in the questions belowwill be exchanged
More informationIntroduction to CFD Basics
Introduction to CFD Basics Rajesh Bhaskaran Lance Collins This is a quickanddirty introduction to the basic concepts underlying CFD. The concepts are illustrated by applying them to simple 1D model problems.
More informationNumerical Methods. Numerical Methods. for Engineers. for Engineers. Steven C. Chapra Raymond P. Canale. Chapra Canale. Sixth Edition.
Sixth Edition Features include: which are based on exciting new areas such as bioengineering. and differential equations. students using this text will be able to apply their new skills to their chosen
More informationExpress Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology
Express Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology Dimitrios Sofialidis Technical Manager, SimTec Ltd. Mechanical Engineer, PhD PRACE Autumn School 2013  Industry
More informationNumerical Analysis An Introduction
Walter Gautschi Numerical Analysis An Introduction 1997 Birkhauser Boston Basel Berlin CONTENTS PREFACE xi CHAPTER 0. PROLOGUE 1 0.1. Overview 1 0.2. Numerical analysis software 3 0.3. Textbooks and monographs
More informationINTEGRAL METHODS IN LOWFREQUENCY ELECTROMAGNETICS
INTEGRAL METHODS IN LOWFREQUENCY ELECTROMAGNETICS I. Dolezel Czech Technical University, Praha, Czech Republic P. Karban University of West Bohemia, Plzeft, Czech Republic P. Solin University of Nevada,
More informationTFAWS AUGUST 2003 VULCAN CFD CODE OVERVIEW / DEMO. Jeffery A. White. Hypersonic Airbreathing Propulsion Branch
TFAWS AUGUST 2003 VULCAN CFD CODE OVERVIEW / DEMO Jeffery A. White Hypersonic Airbreathing Propulsion Branch VULCAN DEVELOPMENT HISTORY Evolved from the LARCK code development project (19931996). LARCK
More informationOn the Use of the Immersed Boundary Method for Engine Modeling
On the Use of the Immersed Boundary Method for Engine Modeling K. J. Richards, E. Pomraning, P. K. Senecal Convergent Thinking C. Y. Choi Caterpillar Inc. C. J. Rutland University of WisconsinMadison
More informationDomain Decomposition Methods. Partial Differential Equations
Domain Decomposition Methods for Partial Differential Equations ALFIO QUARTERONI Professor ofnumericalanalysis, Politecnico di Milano, Italy, and Ecole Polytechnique Federale de Lausanne, Switzerland ALBERTO
More informationIntroduction to the Finite Element Method
Introduction to the Finite Element Method 09.06.2009 Outline Motivation Partial Differential Equations (PDEs) Finite Difference Method (FDM) Finite Element Method (FEM) References Motivation Figure: cross
More informationCustomer Training Material. Lecture 5. Solver Settings ANSYS FLUENT. ANSYS, Inc. Proprietary 2010 ANSYS, Inc. All rights reserved.
Lecture 5 Solver Settings Introduction to ANSYS FLUENT L51 Solver Settings  Introduction So far we have looked at how to setup a basic flow simulation in FLUENT. However you should not assume that just
More informationTWODIMENSIONAL FINITE ELEMENT ANALYSIS OF FORCED CONVECTION FLOW AND HEAT TRANSFER IN A LAMINAR CHANNEL FLOW
TWODIMENSIONAL FINITE ELEMENT ANALYSIS OF FORCED CONVECTION FLOW AND HEAT TRANSFER IN A LAMINAR CHANNEL FLOW Rajesh Khatri 1, 1 M.Tech Scholar, Department of Mechanical Engineering, S.A.T.I., vidisha
More informationContents. Bibliografische Informationen digitalisiert durch
1 Introduction 1 1.1 Introduction to Maple 1 1.1.1 Getting Started with Maple 1 1.1.2 Plotting with Maple 3 1.1.3 Solving Linear and Nonlinear Equations 5 1.1.4 Matrix Operations 6 1.1.5 Differential Equations
More informationFrequently Asked Questions about the Finite Element Method
Frequently Asked Questions about the Finite Element Method 1. What is the finite element method (FEM)? The FEM is a novel numerical method used to solve ordinary and partial differential equations. The
More informationSolving Direct and Inverse Heat Conduction Problems
Jan Taler Piotr Duda Solving Direct and Inverse Heat Conduction Problems 4y Springer Part I Heat Conduction Fundamentals 1 1 Fourier Law 3 Literature 6 2 Mass and Energy Balance Equations 7 2.1 Mass Balance
More informationMean value theorem, Taylors Theorem, Maxima and Minima.
MA 001 Preparatory Mathematics I. Complex numbers as ordered pairs. Argand s diagram. Triangle inequality. De Moivre s Theorem. Algebra: Quadratic equations and expressions. Permutations and Combinations.
More informationIntroduction to Computational Fluid Dynamics
Introduction to Computational Fluid Dynamics Instructor: Dmitri Kuzmin Institute of Applied Mathematics University of Dortmund kuzmin@math.unidortmund.de http://www.featflow.de Fluid (gas and liquid)
More informationDynamic Process Modeling. Process Dynamics and Control
Dynamic Process Modeling Process Dynamics and Control 1 Description of process dynamics Classes of models What do we need for control? Modeling for control Mechanical Systems Modeling Electrical circuits
More informationCFD Based Air Flow and Contamination Modeling of Subway Stations
CFD Based Air Flow and Contamination Modeling of Subway Stations Greg Byrne Center for Nonlinear Science, Georgia Institute of Technology Fernando Camelli Center for Computational Fluid Dynamics, George
More informationLecture 6  Boundary Conditions. Applied Computational Fluid Dynamics
Lecture 6  Boundary Conditions Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (20022006) Fluent Inc. (2002) 1 Outline Overview. Inlet and outlet boundaries.
More informationCCTech TM. ICEMCFD & FLUENT Software Training. Course Brochure. Simulation is The Future
. CCTech TM Simulation is The Future ICEMCFD & FLUENT Software Training Course Brochure About. CCTech Established in 2006 by alumni of IIT Bombay. Our motive is to establish a knowledge centric organization
More informationLecture 16  Free Surface Flows. Applied Computational Fluid Dynamics
Lecture 16  Free Surface Flows Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (20022006) Fluent Inc. (2002) 1 Example: spinning bowl Example: flow in
More informationGiorgio Bornia. Research statement. Primary interests
Giorgio Bornia Research statement 2500 Broadway and Boston 794091042 Lubbock, TX +1 806 834 8754 +1 806 742 1112 giorgio.bornia@ttu.edu http://www.math.ttu.edu/~gbornia Primary interests My main research
More informationProgramming the Finite Element Method
Programming the Finite Element Method FOURTH EDITION I. M. Smith University of Manchester, UK D. V. Griffiths Colorado School of Mines, USA John Wiley & Sons, Ltd Contents Preface Acknowledgement xv xvii
More informationOpenFOAM Optimization Tools
OpenFOAM Optimization Tools Henrik Rusche and Aleks Jemcov h.rusche@wikkigmbh.de and a.jemcov@wikki.co.uk Wikki, Germany and United Kingdom OpenFOAM Optimization Tools p. 1 Agenda Objective Review optimisation
More informationSTCE. Outline. Introduction. Applications. Ongoing work. Summary. STCE RWTHAachen, Industrial Applications of discrete adjoint OpenFOAM, EuroAD 2014
Industrial Applications of discrete adjoint OpenFOAM Arindam Sen Software and Tools for Computational Engineering Science RWTH Aachen University EuroAD 2014, Nice, 1617. June 2014 Outline Introduction
More informationCommercial CFD Software Modelling
Commercial CFD Software Modelling Dr. Nor Azwadi bin Che Sidik Faculty of Mechanical Engineering Universiti Teknologi Malaysia INSPIRING CREATIVE AND INNOVATIVE MINDS 1 CFD Modeling CFD modeling can be
More informationFUNDAMENTAL FINITE ELEMENT ANALYSIS AND APPLICATIONS
FUNDAMENTAL FINITE ELEMENT ANALYSIS AND APPLICATIONS With Mathematica and MATLAB Computations M. ASGHAR BHATTI WILEY JOHN WILEY & SONS, INC. CONTENTS OF THE BOOK WEB SITE PREFACE xi xiii 1 FINITE ELEMENT
More informationPractical Numerical Methods for Chemical Engineers Using Excel with VBA
Practical Numerical Methods for Chemical Engineers Using Excel with VBA By Richard A. Davis Copyright 2012. Richard A. Davis. All rights reserved. No part of this book may be reproduced in any form or
More informationAerodynamic Department Institute of Aviation. Adam Dziubiński CFD group FLUENT
Adam Dziubiński CFD group IoA FLUENT Content Fluent CFD software 1. Short description of main features of Fluent 2. Examples of usage in CESAR Analysis of flow around an airfoil with a flap: VZLU + ILL4xx
More informationAA214B: NUMERICAL METHODS FOR COMPRESSIBLE FLOWS
AA214B: NUMERICAL METHODS FOR COMPRESSIBLE FLOWS 1 / 43 AA214B: NUMERICAL METHODS FOR COMPRESSIBLE FLOWS Treatment of Boundary Conditions These slides are partially based on the recommended textbook: Culbert
More informationIntroduction to CFD Analysis
Introduction to CFD Analysis 21 What is CFD? Computational Fluid Dynamics (CFD) is the science of predicting fluid flow, heat and mass transfer, chemical reactions, and related phenomena by solving numerically
More informationGraduate Certificate Program in Energy Conversion & Transport Offered by the Department of Mechanical and Aerospace Engineering
Graduate Certificate Program in Energy Conversion & Transport Offered by the Department of Mechanical and Aerospace Engineering Intended Audience: Main Campus Students Distance (online students) Both Purpose:
More informationEffect of Aspect Ratio on Laminar Natural Convection in Partially Heated Enclosure
Universal Journal of Mechanical Engineering (1): 833, 014 DOI: 10.13189/ujme.014.00104 http://www.hrpub.org Effect of Aspect Ratio on Laminar Natural Convection in Partially Heated Enclosure Alireza Falahat
More informationCFD Application on Food Industry; Energy Saving on the Bread Oven
MiddleEast Journal of Scientific Research 13 (8): 10951100, 2013 ISSN 19909233 IDOSI Publications, 2013 DOI: 10.5829/idosi.mejsr.2013.13.8.548 CFD Application on Food Industry; Energy Saving on the
More informationComputational Fluid Dynamics (CFD) Markus Peer Rumpfkeil
Computational Fluid Dynamics (CFD) Markus Peer Rumpfkeil January 13, 2014 1 Let's start with the FD (Fluid Dynamics) Fluid dynamics is the science of fluid motion. Fluid flow is commonly studied in one
More informationMATHEMATICAL MODELING OF MELTING AND FREEZING PROCESSES
MATHEMATICAL MODELING OF MELTING AND FREEZING PROCESSES Vasilios Alexiades The University of Tennessee and Oak Ridge National Laboratory Alan D. Solomon Consultant Formerly at Oak Ridge National Laboratory
More informationNumerical Recipes in C
2008 AGIInformation Management Consultants May be used for personal purporses only or by libraries associated to dandelon.com network. Numerical Recipes in C The Art of Scientific Computing Second Edition
More informationINCORPORATING CFD INTO THE UNDERGRADUATE MECHANICAL ENGINEERING PROGRAMME AT THE UNIVERSITY OF MANITOBA
INCORPORATING CFD INTO THE UNDERGRADUATE MECHANICAL ENGINEERING PROGRAMME AT THE UNIVERSITY OF MANITOBA Scott J. Ormiston SJ Ormiston@UManitoba.ca Associate Professor, Dept. of Mechanical and Industrial
More informationSimulation of FluidStructure Interactions in Aeronautical Applications
Simulation of FluidStructure Interactions in Aeronautical Applications Martin Kuntz Jorge Carregal Ferreira ANSYS Germany D83624 Otterfing Martin.Kuntz@ansys.com December 2003 3 rd FENET Annual Industry
More information1 Finite difference example: 1D implicit heat equation
1 Finite difference example: 1D implicit heat equation 1.1 Boundary conditions Neumann and Dirichlet We solve the transient heat equation ρc p t = ( k ) (1) on the domain L/2 x L/2 subject to the following
More informationApplied Computational Economics and Finance
Applied Computational Economics and Finance Mario J. Miranda and Paul L. Fackler The MIT Press Cambridge, Massachusetts London, England Preface xv 1 Introduction 1 1.1 Some Apparently Simple Questions
More informationTHE CFD SIMULATION OF THE FLOW AROUND THE AIRCRAFT USING OPENFOAM AND ANSA
THE CFD SIMULATION OF THE FLOW AROUND THE AIRCRAFT USING OPENFOAM AND ANSA Adam Kosík Evektor s.r.o., Czech Republic KEYWORDS CFD simulation, mesh generation, OpenFOAM, ANSA ABSTRACT In this paper we describe
More informationFourthOrder Compact Schemes of a Heat Conduction Problem with Neumann Boundary Conditions
FourthOrder Compact Schemes of a Heat Conduction Problem with Neumann Boundary Conditions Jennifer Zhao, 1 Weizhong Dai, Tianchan Niu 1 Department of Mathematics and Statistics, University of MichiganDearborn,
More informationNumerical Methods for Differential Equations
Numerical Methods for Differential Equations Course objectives and preliminaries Gustaf Söderlind and Carmen Arévalo Numerical Analysis, Lund University Textbooks: A First Course in the Numerical Analysis
More informationModule 6 Case Studies
Module 6 Case Studies 1 Lecture 6.1 A CFD Code for Turbomachinery Flows 2 Development of a CFD Code The lecture material in the previous Modules help the student to understand the domain knowledge required
More informationIntroductory FLUENT Training
Chapter 10 Transient Flow Modeling Introductory FLUENT Training www.ptecgroup.ir 101 Motivation Nearly all flows in nature are transient! Steadystate assumption is possible if we: Ignore transient fluctuations
More informationFOR ACCELERATION OF ITERATIVE ALGORITHMS
DISTRIBUTED MINIMAL RESIDUAL (DMR) METHOD Q/ 2% FOR ACCELERATION OF ITERATIVE ALGORITHMS Seungsoo Lee and George S. Dulikravich Pennsylvania State University University Park, Pennsylvania, U.S.A. ABSTRACT
More informationLecturer, Department of Engineering, ar45@le.ac.uk, Lecturer, Department of Mathematics, sjg50@le.ac.uk
39 th AIAA Fluid Dynamics Conference, San Antonio, Texas. A selective review of CFD transition models D. Di Pasquale, A. Rona *, S. J. Garrett Marie Curie EST Fellow, Engineering, ddp2@le.ac.uk * Lecturer,
More informationDevelopment and Application of a Finite Volume Method for the Computation of Flows Around Moving Bodies on Unstructured, Overlapping Grids
Development and Application of a Finite Volume Method for the Computation of Flows Around Moving Bodies on Unstructured, Overlapping Grids Vom Promotionsausschuss der Technischen Universität HamburgHarburg
More informationCFD simulation of VortexInduced Vibration with change in cylinder array TaeJin Kang 1) and WarnGyu Park 1)*
CFD simulation of VortexInduced Vibration with change in cylinder array TaeJin Kang 1) and WarnGyu Park 1)* 1) School of Mechanical Engineering, Pusan National University, Busan 609735, Korea ABSTRACT
More informationIterative Solvers for Linear Systems
9th SimLab Course on Parallel Numerical Simulation, 4.10 8.10.2010 Iterative Solvers for Linear Systems Bernhard Gatzhammer Chair of Scientific Computing in Computer Science Technische Universität München
More informationPractical Grid Generation Tools with Applications to Ship Hydrodynamics
Practical Grid Generation Tools with Applications to Ship Hydrodynamics Eça L. Instituto Superior Técnico eca@marine.ist.utl.pt Hoekstra M. Maritime Research Institute Netherlands M.Hoekstra@marin.nl Windt
More informationEnergy conserving time integration methods for the incompressible NavierStokes equations
Energy conserving time integration methods for the incompressible NavierStokes equations B. Sanderse WSC Spring Meeting, June 6, 2011, Delft June 2011 ECNM11064 Energy conserving time integration
More informationMercury Flow through a Long Curved Pipe
Mercury Flow through a Long Curved Pipe Wenhai Li & Foluso Ladeinde Department of Mechanical Engineering Stony Brook University Summary The flow of mercury in a long, curved pipe is simulated in this task,
More informationMATHEMATICAL METHODS FOURIER SERIES
MATHEMATICAL METHODS FOURIER SERIES I YEAR B.Tech By Mr. Y. Prabhaker Reddy Asst. Professor of Mathematics Guru Nanak Engineering College Ibrahimpatnam, Hyderabad. SYLLABUS OF MATHEMATICAL METHODS (as
More informationSection 22.1: Overview of Numerical Schemes. Section 22.6: Overview of How to Use the Solver. Section 22.7: Choosing the Discretization Scheme
Chapter 22. Using the Solver This chapter describes the FLUENT solver and how to use it. Details about the solver algorithms used by FLUENT are provided in Sections 22.1 22.5. Section 22.6 provides an
More informationNUMERICAL ANALYSIS OF THE EFFECTS OF WIND ON BUILDING STRUCTURES
Vol. XX 2012 No. 4 28 34 J. ŠIMIČEK O. HUBOVÁ NUMERICAL ANALYSIS OF THE EFFECTS OF WIND ON BUILDING STRUCTURES Jozef ŠIMIČEK email: jozef.simicek@stuba.sk Research field: Statics and Dynamics Fluids mechanics
More informationHow to Understand Computational Fluid Dynamics Jargon. Althea de Souza
How to Understand Computational Fluid Dynamics Jargon Editing Author: Althea de Souza 2005 NAFEMS Ltd If language be not accorded priority over subject, then the subject can have no reliable priority at
More informationIntroduction to CFD Analysis
Introduction to CFD Analysis Introductory FLUENT Training 2006 ANSYS, Inc. All rights reserved. 2006 ANSYS, Inc. All rights reserved. 22 What is CFD? Computational fluid dynamics (CFD) is the science
More informationCFD SIMULATION OF SDHW STORAGE TANK WITH AND WITHOUT HEATER
International Journal of Advancements in Research & Technology, Volume 1, Issue2, July2012 1 CFD SIMULATION OF SDHW STORAGE TANK WITH AND WITHOUT HEATER ABSTRACT (1) Mr. Mainak Bhaumik M.E. (Thermal Engg.)
More informationBenchmark Computations of 3D Laminar Flow Around a Cylinder with CFX, OpenFOAM and FeatFlow
Benchmark Computations of 3D Laminar Flow Around a Cylinder with CFX, OpenFOAM and FeatFlow E. Bayraktar, O. Mierka and S. Turek Institute of Applied Mathematics (LS III), TU Dortmund Vogelpothsweg 87,
More informationFluent Software Training TRN Boundary Conditions. Fluent Inc. 2/20/01
Boundary Conditions C1 Overview Inlet and Outlet Boundaries Velocity Outline Profiles Turbulence Parameters Pressure Boundaries and others... Wall, Symmetry, Periodic and Axis Boundaries Internal Cell
More informationINTRODUCTION TO FLUID MECHANICS
INTRODUCTION TO FLUID MECHANICS SIXTH EDITION ROBERT W. FOX Purdue University ALAN T. MCDONALD Purdue University PHILIP J. PRITCHARD Manhattan College JOHN WILEY & SONS, INC. CONTENTS CHAPTER 1 INTRODUCTION
More informationA CODE VERIFICATION EXERCISE FOR THE UNSTRUCTURED FINITEVOLUME CFD SOLVER ISISCFD
European Conference on Computational Fluid Dynamics ECCOMAS CFD 2006 P. Wesseling, E. Oñate and J. Périaux (Eds) c TU Delft, The Netherlands, 2006 A CODE VERIFICATION EXERCISE FOR THE UNSTRUCTURED FINITEVOLUME
More informationComputational Fluid Dynamics Research Projects at Cenaero (2011)
Computational Fluid Dynamics Research Projects at Cenaero (2011) Cenaero (www.cenaero.be) is an applied research center focused on the development of advanced simulation technologies for aeronautics. Located
More informationElementary Differential Equations
Elementary Differential Equations EIGHTH EDITION Earl D. Rainville Late Professor of Mathematics University of Michigan Phillip E. Bedient Professor Emeritus of Mathematics Franklin and Marshall College
More informationCHAPTER 4 CFD ANALYSIS OF THE MIXER
98 CHAPTER 4 CFD ANALYSIS OF THE MIXER This section presents CFD results for the venturijet mixer and compares the predicted mixing pattern with the present experimental results and correlation results
More informationContents. Gbur, Gregory J. Mathematical methods for optical physics and engineering digitalisiert durch: IDS Basel Bern
Preface page xv 1 Vector algebra 1 1.1 Preliminaries 1 1.2 Coordinate System invariance 4 1.3 Vector multiplication 9 1.4 Useful products of vectors 12 1.5 Linear vector Spaces 13 1.6 Focus: periodic media
More informationCustomer Training Material. Lecture 2. Introduction to. Methodology ANSYS FLUENT. ANSYS, Inc. Proprietary 2010 ANSYS, Inc. All rights reserved.
Lecture 2 Introduction to CFD Methodology Introduction to ANSYS FLUENT L21 What is CFD? Computational Fluid Dynamics (CFD) is the science of predicting fluid flow, heat and mass transfer, chemical reactions,
More informationAeroacoustic Analogy for the Computation of Aeroacoustic Fields in Partially Closed Domains
INSTITUT FÜR MECHANIK UND MECHATRONIK Messtechnik und Aktorik Aeroacoustic Analogy for the Computation of Aeroacoustic Fields in Partially Closed Domains A. Hüppe 1, M. Kaltenbacher 1, A. Reppenhagen 2,
More informationAeroFluidX: A Next Generation GPUBased CFD Solver for Engineering Applications
AeroFluidX: A Next Generation GPUBased CFD Solver for Engineering Applications Dr. Bjoern Landmann Dr. Kerstin Wieczorek Stefan Bachschuster 18.03.2015 FluiDyna GmbH, Lichtenbergstr. 8, 85748 Garching
More informationCFD modelling of floating body response to regular waves
CFD modelling of floating body response to regular waves Dr Yann Delauré School of Mechanical and Manufacturing Engineering Dublin City University Ocean Energy Workshop NUI Maynooth, October 21, 2010 Table
More informationNumerical Analysis Introduction. Student Audience. Prerequisites. Technology.
Numerical Analysis Douglas Faires, Youngstown State University, (Chair, 20122013) Elizabeth Yanik, Emporia State University, (Chair, 20132015) Graeme Fairweather, Executive Editor, Mathematical Reviews,
More informationAPPLIED MATHEMATICS ADVANCED LEVEL
APPLIED MATHEMATICS ADVANCED LEVEL INTRODUCTION This syllabus serves to examine candidates knowledge and skills in introductory mathematical and statistical methods, and their applications. For applications
More informationMASTER OF SCIENCE IN MECHANICAL ENGINEERING
MASTER OF SCIENCE IN MECHANICAL ENGINEERING Introduction There are over 22 schools in Mindanao that offer Bachelor of Science in Mechanical Engineering and majority of their faculty members do not have
More informationPart II: Finite Difference/Volume Discretisation for CFD
Part II: Finite Difference/Volume Discretisation for CFD Finite Volume Metod of te AdvectionDiffusion Equation A Finite Difference/Volume Metod for te Incompressible NavierStokes Equations MarkerandCell
More informationOPENSOURCE CFD ANALYSIS OF MULTIDOMAIN UNSTEADY HEATING WITH NATURAL CONVECTION
TASK QUARTERLY 13 No 4, 403 414 OPENSOURCE CFD ANALYSIS OF MULTIDOMAIN UNSTEADY HEATING WITH NATURAL CONVECTION PAWEŁ SOSNOWSKI AND JACEK POZORSKI Institute of FluidFlow Machinery, Polish Academy of
More informationComputational Modeling of Wind Turbines in OpenFOAM
Computational Modeling of Wind Turbines in OpenFOAM Hamid Rahimi hamid.rahimi@unioldenburg.de ForWind  Center for Wind Energy Research Institute of Physics, University of Oldenburg, Germany Outline Computational
More informationVehicleBridge Interaction Dynamics
VehicleBridge Interaction Dynamics With Applications to HighSpeed Railways Y. B. Yang National Taiwan University, Taiwan J. D. Yau Tamkang University, Taiwan Y. S. Wu Sinotech Engineering Consultants,
More informationChapter 1: Introduction
! Revised August 26, 2013 7:44 AM! 1 Chapter 1: Introduction Copyright 2013, David A. Randall 1.1! What is a model? The atmospheric science community includes a large and energetic group of researchers
More informationAsymptotic Analysis of Fields in MultiStructures
Asymptotic Analysis of Fields in MultiStructures VLADIMIR KOZLOV Department of Mathematics, Linkoeping University, Sweden VLADIMIR MAZ'YA Department of Mathematics, Linkoeping University, Sweden ALEXANDER
More informationHPC enabling of OpenFOAM R for CFD applications
HPC enabling of OpenFOAM R for CFD applications Towards the exascale: OpenFOAM perspective Ivan Spisso 2527 March 2015, Casalecchio di Reno, BOLOGNA. SuperComputing Applications and Innovation Department,
More informationThis chapter describes how you can model solidification and melting in FLUENT. Information is organized into the following sections:
Chapter 21. Melting Modeling Solidification and This chapter describes how you can model solidification and melting in FLUENT. Information is organized into the following sections: Section 21.1: Overview
More informationLaminar flow in a baffled stirred mixer (COMSOL)
AALTO UNIVERSITY School of Chemical Technology CHEME7160 Fluid Flow in Process Units Laminar flow in a baffled stirred mixer (COMSOL) Sanna Hyvönen, 355551 Nelli Jämsä, 223188 Abstract In this simulation
More informationFlow Physics Analysis of ThreeBucket Helical Savonius Rotor at Twist Angle Using CFD
Vol.3, Issue.2, MarchApril. 2013 pp739746 ISSN: 22496645 Flow Physics Analysis of ThreeBucket Helical Savonius Rotor at Twist Angle Using CFD Pinku Debnath, 1 Rajat Gupta 2 12 Mechanical Engineering,
More informationANSYS CFD results for the AIAA High Lift Prediction Workshop
ANSYS CFD results for the AIAA High Lift Prediction Workshop Robin Steed ANSYS Canada Ltd. Waterloo, Ontario, Canada Greg Stuckert ANSYS, Inc. Lebanon, NH, USA 2009 ANSYS, Inc. All rights reserved. 1 Outline
More informationTurbulence: The manifestation of eddies and their role in conservation laws
Turbulence: The manifestation of eddies and their role in conservation laws George E. Hrabovsky MAST Presentation Given to the Chaos and Complex Systems Seminar University of Wisconsin  Madison 26 February,
More information