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Applied computational fluid dynamics techniques : an introduction based on finite element methods /
Essential reading for practitioners and graduates wishing to develop a complete knowledge of CFD techniques and fluid behaviour, this new edition contains updated material as well as new chapters on overlapping grids, embedded grid techniques, free surfaces and optimal shape design.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Chichester, England ; Hoboken, NJ :
John Wiley & Sons,
©2008.
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| Edición: | 2nd ed. |
| Temas: | |
| Acceso en línea: | Texto completo (Requiere registro previo con correo institucional) |
Tabla de Contenidos:
- Introduction and general considerations. The CFD code ; Porting research codes to an industrial context ; Scope of the book
- 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
- 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/arbitrary objects ; Applications
- Approximation theory. The basic problem ; Choice of trial functions ; General properties of shape-functions ; Weighted residual methods with local functions ; Effort vs. accuracy
- Approximation of operators ; Classification of methods ; The Laplace operator ; Recovery of derivatives ; Spectral elements
- Temporal approximation ; Explicit schemes ; Implicit schemes ; A word of caution
- Solution of large systems of equations. Direct solvers ; Iterative solvers ; Preconditioning ; Approximate factorization ; Snakes and linelets ; Multigrid methods
- Simple Euler/Navier-Stokes solvers. Galerkin approximation ; Lax-Wendroff (Taylor-Galerkin) ; Solving for the consistent mass matrix ; Artificial viscosities ; Boundary conditions ; Viscous fluxes ; Applications
- Flux-corrected transport schemes. The FCT concept ; Algorithmic implementation ; Steepening ; FCT for Taylor-Galerkin schemes ; Limiting for systems of equations ; Applications
- Edge-based compressible flow solvers ; The Laplacian operator ; First derivatives: first form ; First derivatives: second form ; Edge-based schemes for advection-dominated PDE's
- Incompressible flow solvers. The advection operator ; The divergence operator ; Artificial compressibility ; Temporal discretization: projection schemes ; Temporal discretization: implicit schemes ; Examples
- Mesh movement. The ALE frame of reference ; Geometric conservation law ; Mesh movement algorithms ; Region of moving elements ; PDE-based distance functions ; Penalization of deformed elements ; Special movement techniques for RANS grids ; Remeshing concepts ; Applications
- Interpolation. Basic interpolation algorithm ; Fastest 1-time algorithm: brute force ; Fastest N-time algorithm: octree search ; Fastest known vicinity algorithm: neighbour-to-neighbour ; Fastest grid to grid algorithm: advancing front vicinity ; Conservative interpolation ; Surface-grid to surface-grid interpolation ; Particle-grid interpolation
- Adaptive mesh refinement ; Optimal mesh criteria ; Error indicators/estimators ; Mesh refinement strategies ; Mesh movement ; Mesh enrichment ; Remeshing ; Hybrid methods ; Applications
- Efficient use of supercomputer hardware ; Reduction of cache-misses ; Vector machines ; SIMD machines ; MIMD machines
- Spacemarching and deactivation ; Spacemarching ; Macro-blocking ; Deactivation
- Overlapping grids. Interpolation criteria ; External boundaries and domains ; Examples
- Embedded grid techniques ; Kinetic treatment of embedded objects ; Kinematic treatment of embedded surfaces ; Deactivation of interior regions ; Extrapolation of the solution ; Adaptive mesh refinement ; Load/flux transfer ; Treatment of gaps or cracks ; Direct link to particles ; Examples
- Treatment of free surfaces. Interface fitting methods ; Examples for interface fitting methods ; Interface capturing methods ; Examples for interface capturing methods
- Optimal shape 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.