Applied computational fluid dynamics techniques an introduction based on finite element methods 2nd Edition by Rainald Löhner ISBN 047051907X 978-0470519073

Applied computational fluid dynamics techniques an introduction based on finite element methods 2nd  Edition by Rainald Löhner  – Ebook PDF Instant Download/Delivery:  047051907X, 978-0470519073
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Product details: 

ISBN 10:  047051907X 

ISBN 13: 978-0470519073

Author: Rainald Löhner

Computational fluid dynamics (CFD) is concerned with the efficient numerical solution of the partial differential equations that describe fluid dynamics. CFD techniques are commonly used in the many areas of engineering where fluid behavior is an important factor. Traditional fields of application include aerospace and automotive design, and more recently, bioengineering and consumer and medical electronics. With Applied Computational Fluid Dynamics Techniques, 2nd edition, Rainald Löhner introduces the reader to the techniques required to achieve efficient CFD solvers, forming a bridge between basic theoretical and algorithmic aspects of the finite element method and its use in an industrial context where methods have to be both as simple but also as robust as possible.

This heavily revised second edition takes a practice-oriented approach with a strong emphasis on efficiency, and offers important new and updated material on;

Overlapping and embedded grid methods
Treatment of free surfaces
Grid generation
Optimal use of supercomputing hardware
Optimal shape and process design
Applied Computational Fluid Dynamics Techniques, 2nd edition is a vital resource for engineers, researchers and designers working on CFD, aero and hydrodynamics simulations and bioengineering. Its unique practical approach will also appeal to graduate students of fluid mechanics and aero and hydrodynamics as well as biofluidics.

Table of contents: 

1. Introduction and General Considerations
The CFD Code
Porting Research Codes to an Industrial Context
Scope of the Book

2. Data Structures and Algorithms
Representation of a Grid
Derived Data Structures for Static Data
Derived Data Structures for Dynamic Data
Sorting and Searching
Proximity in Space
Nearest-Neighbours and Graphs
Distance to Surface

3. Grid Generation
Description of the Domain to Be Gridded
Variation of Element Size and Shape
Element Type
Automatic Grid Generation Methods
Other Grid Generation Methods
The Advancing Front Technique
Delaunay Triangulation
Grid Improvement
Optimal Space-Filling Tetrahedra
Grids with Uniform Cores
Volume-to-Surface Meshing
Navier-Stokes Gridding Techniques
Filling Space with Points or Arbitrary Objects
Applications

4. Approximation Theory
The Basic Problem
Choice of Trial Functions
General Properties of Shape Functions
Weighted Residual Methods with Local Functions
Accuracy and Effort
Grid Estimates

5. Approximation of Operators
Taxonomy of Methods
The Poisson Operator
Recovery of Derivatives

6. Discretization in Time
Explicit Schemes
Implicit Schemes
A Word of Caution

7. Solution of Large Systems of Equations
Direct Solvers
Iterative Solvers
Multigrid Methods

8. Simple Euler and Navier-Stokes Solvers
Galerkin Approximation
Lax-Wendroff (Taylor-Galerkin)
Solving for the Consistent Mass Matrix
Artificial Viscosities
Boundary Conditions
Viscous Fluxes

9. Flux-Corrected Transport Schemes
Algorithmic Implementation
Steepening
FCT for Taylor-Galerkin Schemes
Iterative Limiting
Limiting for Systems of Equations
Examples
Summary

10. Edge-Based Compressible Flow Solvers
The Laplacian Operator
First Derivatives (First Form)
First Derivatives (Second Form)
Edge-Based Schemes for Advection-Dominated PDEs

11. Incompressible Flow Solvers
The Advection Operator
The Divergence Operator
Artificial Compressibility
Temporal Discretization: Projection Schemes
Temporal Discretization: Implicit Schemes
Temporal Discretization of Higher Order
Acceleration to the Steady State
Projective Prediction of Pressure Increments
Examples

12. Mesh Movement
The ALE Frame of Reference
Boundary Conditions
Geometric Conservation Law
Mesh Movement Algorithms
Region of Moving Elements
PDE-Based Distance Functions
Penalization of Deformed Elements
Special Movement Techniques for RANS Grids
Rotating Parts or Domains
Applications

13. Interpolation
Basic Interpolation Algorithm
Fastest One-Time Algorithm: Brute Force
Fastest N-Time Algorithm: Octree Search
Fastest Vicinity Algorithm: Neighbour-to-Neighbour
Fastest Grid-to-Grid Algorithm: Advancing-Front Vicinity
Conservative Interpolation
Surface-Grid-to-Surface-Grid Interpolation
Particle-Grid Interpolation

14. Adaptive Mesh Refinement
Optimal Mesh Criteria
Error Indicators and Estimators
Refinement Strategies
Tutorial: h-Refinement with Tetrahedra
Examples

15. Efficient Use of Computer Hardware
Reduction of Cache Misses
Vector Machines
Parallel Machines: General Considerations
Shared-Memory Parallel Machines
SIMD Machines
MIMD Machines
The Effect of Moore’s Law on Parallel Computing

16. Space-Marching and Deactivation
Space-Marching
Deactivation

17. Overlapping Grids
Interpolation Criteria
External Boundaries and Domains
Interpolation: Initialization
Treatment of Domains That Are Partially Outside
Removal of Inactive Regions
Incremental Interpolation
Changes to the Flow Solver
Examples

18. Embedded and Immersed Grid Techniques
Kinetic Treatment of Embedded or Immersed Objects
Kinematic Treatment of Embedded Surfaces
Deactivation of Interior Regions
Extrapolation of the Solution
Adaptive Mesh Refinement
Load or Flux Transfer
Treatment of Gaps or Cracks
Direct Link to Particles
Examples

19. Treatment of Free Surfaces
Interface Fitting Methods
Interface Capturing Methods

20. Optimal Shape and Process Design
The General Optimization Problem
Optimization Techniques
Adjoint Solvers
Geometric Constraints
Approximate Gradients
Multipoint Optimization
Representation of Surface Changes
Hierarchical Design Procedures
Topological Optimization via Porosities
Examples

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