Essentials of computational fluid dynamics 1st Edition by Jens Dominik Mueller ISBN 1138401307 9781138401303 by Müller, Jens-dominik 9781482227314, 1482227312 instant download after payment.

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ISBN 10: 1138401307 
ISBN 13: 9781138401303
Author: Jens Dominik Mueller 

Covered from the vantage point of a user of a commercial flow package, Essentials of Computational Fluid Dynamics provides the information needed to competently operate a commercial flow solver. This book provides a physical description of fluid flow, outlines the strengths and weaknesses of computational fluid dynamics (CFD), presents the basics o

Essentials of computational fluid dynamics 1st Table of contents:

1 Introduction
1.1 CFD, the virtual wind tunnel
1.2 Examples of CFD applications
1.3 Prerequisites
1.4 Literature
1.5 Ingredients
1.6 Organisation of the chapters
1.7 Exercises
2 Physical and mathematical principles of modern CFD
2.1 The physical model
2.1.1 Continuum assumption
2.1.2 Lagrangian vs. Eulerian description
2.1.3 Conservation principles
2.2 The mathematical model: the equations of fluid flow
2.2.1 Mass conservation in 1-D
2.2.2 Mass conservation in 3-D
2.2.2.1 Mass conservation: example
2.2.2.2 Continuity over finite-size control volumes
2.2.3 Divergence and gradient operators, total derivative
2.2.3.1 Divergence and gradient operators
2.2.4 The total or material derivative
2.2.5 The divergence form of the total derivative
2.2.6 Reynolds’ transport theorem
2.2.7 Transport of a passive scalar
2.3 The momentum equations
2.3.1 Examples of momentum balance
2.3.1.1 Boundary layers
2.3.2 The inviscid momentum equation - the Euler equation
2.3.3 The viscous momentum equations - Navier-Stokes equations
2.3.4 The incompressible Navier-Stokes equations
2.3.5 Energy balance
2.3.6 Summary of properties for the Navier-Stokes equations
2.4 Simplified model equations
2.4.1 The linear advection equation
2.4.2 Inviscid Burgers’ equation
2.4.3 The heat equation
2.5 Excercises
3 Discretisation of the equations
3.1 Discretisation of the linear advection equation
3.1.1 Finite difference discretisation of linear advection
3.1.2 Solving the finite difference approximation
3.1.3 Mesh refinement
3.1.4 Finite volume discretisation of the 1-D advection
3.1.5 Solving the finite volume approximation
3.1.6 Finite difference vs. finite volume formulations
3.2 Burgers’ equation: non-linear advection and conservation
3.3 Heat equation in 1-D
3.3.1 Discretising second derivatives
3.3.2 1-D Heat equation, differential form
3.3.3 Solving the 1-D heat equation
3.4 Advection equation in 2-D
3.4.1 Discretisation on a structured grid
3.5 Solving the Navier-Stokes equations
3.6 The main steps in the finite volume method
3.6.1 Discretisation on arbitrary grids
3.6.2 Transport through an arbitrary face
3.6.3 The concept of pseudotime-stepping
3.6.4 Time-stepping for compressible flows
3.6.5 Iterative methods for incompressible flows
3.6.6 The SIMPLE scheme
3.7 Exercises
4 Analysis of discretisations: accuracy, artificial viscosity and stability
4.1 Forward, backward and central differences
4.2 Taylor analysis: consistency, first- and second-order accuracy
4.2.1 Round-off errors
4.2.2 Order of accuracy and mesh refinement
4.3 Stability, artificial viscosity and second-order accuracy
4.3.1 Artificial viscosity
4.3.2 Artificial viscosity and finite volume methods
4.3.3 Stable second-order accurate discretisations for CFD
4.3.4 Monotonicity and second-order accuracy: limiters
4.4 Summary of spatial discretisation approaches
4.5 Convergence of the time-stepping iterations
4.5.1 Explicit methods
4.5.2 Implicit methods
4.5.3 Increasing mesh resolution
4.5.4 Multigrid
4.6 Excercises
5 Boundary conditions and flow physics
5.1 Selection of boundary conditions
5.1.1 Some simple examples
5.1.2 Selecting boundary conditions to satisfy the equations
5.2 Characterisation of partial differential equations
5.2.1 Wave-like solutions: hyperbolic equations
5.2.2 Smoothing-type solutions: elliptic equations
5.2.3 The borderline case - parabolic equations
5.2.4 The domain of dependence, the domain of influence
5.2.5 Example of characterisation: surface waves
5.2.6 Compressible and incompressible flows
5.2.7 Characterisation of the Navier-Stokes equations
5.2.7.1 The compressible flow equations
5.2.7.2 The incompressible flow equations
5.3 Choice of boundary conditions
5.3.1 Boundary conditions for incompressible flow
5.3.2 Boundary conditions for hyperbolic equations
5.4 Exercises
6 Turbulence modelling
6.1 The challenges of turbulent flow for CFD
6.2 Description of turbulent flow
6.3 Self-similar profiles through scaling
6.3.1 Laminar velocity profiles
6.3.2 Turbulent velocity profile
6.4 Velocity profiles of turbulent boundary layers
6.4.1 Outer scaling: friction velocity
6.4.2 Inner scaling: non-dimensional wall distance y3
6.4.2.1 Linear sublayer
6.4.2.2 Log-layer
6.5 Levels of turbulence modelling
6.5.1 Direct Numerical Simulation (DNS)
6.5.2 Reynolds-Averaged Navier-Stokes (RANS)
6.5.3 Large Eddy (LES) and Detached Eddy Simulation (DES)
6.5.4 Summary of approaches to turbulence modelling
6.6 Eddy viscosity models
6.6.1 Mixing length model
6.6.2 The Spalart-Allmaras model
6.6.3 The k-ε model
6.6.3.1 Advanced turbulence models: realisable k-ε, RNG, secondorder closure
6.7 Near-wall mesh requirements
6.7.0.2 Low-Reynolds approach: resolution of the sublayer
6.7.0.3 High-Reynolds approach: wall-functions
6.7.1 Estimating the wall distance of the first point
6.7.1.1 Estimating skin friction for mesh generation
6.7.1.2 Number of points in the boundary layer, growth ratio
6.7.1.3 Summary of meshing for turbulent flows
6.8 Exercises
7 Mesh quality and grid generation
7.1 Influence of mesh quality on the accuracy
7.1.1 Maximum angle condition
7.1.2 Regularity
7.1.3 Size variation
7.2 Requirements for the ideal mesh generator
7.3 Structured grids
7.3.1 Algebraic grids using transfinite interpolation
7.4 Unstructured grids
7.4.1 The Advancing Front Method
7.4.2 Delaunay triangulation
7.4.3 Hierarchical grid Methods
7.4.4 Hexahedral unstructured mesh generation
7.4.5 Hybrid mesh generation for viscous flow
7.5 Mesh adaptation
7.5.1 Mesh movement: r-refinement
7.5.2 Mesh refinement: h-refinement
7.6 Exercises
8 Analysis of the results
8.1 Types of errors
8.1.1 Incorrect choice of boundary conditions
8.1.1.1 Type of condition and size of the computational domain
8.1.1.2 Lack of boundary information
8.1.2 Insufficient convergence
8.1.3 Artificial viscosity
8.1.4 Modelling errors
8.2 Mesh convergence
8.2.1 Cost of error reduction
8.3 Validation
8.4 Summary
8.5 Exercises
9 Case studies
9.1 Aerofoil in 2-D, inviscid flow
9.1.1 Case description
9.1.2 Flow physics
9.1.3 Meshes
9.1.4 Simulation results for the C-mesh
9.1.4.1 Velocity field
9.1.4.2 Static pressure
9.1.4.3 Total pressure
9.1.5 Comparison of C- vs O-mesh
9.1.6 Analysis of lift and drag values
9.2 Blood vessel bifurcation in 2-D
9.2.1 Geometry and flow parameters
9.2.2 Flow physics and boundary conditions
9.2.3 Velocity and pressure fields
9.2.4 Velocity profile in the neck
9.2.5 Effect of outlet boundary condition
9.3 Aerofoil in 2-D, viscous flow
9.3.1 Flow physics
9.3.2 Turbulence modelling
9.3.3 Flow results
9.3.4 Lift and drag
10 Appendix
10.1 Finite-volume implementation of 2-D advection

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