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Computational methods for fluid dynamics /
| Autor principal: | |
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| Otros Autores: | |
| Formato: | Libro |
| Lenguaje: | English |
| Publicado: |
Berlin ; New York :
Springer,
2002.
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| Edición: | Third, rev. edition. |
| Materias: | |
| Acceso en línea: | Publisher description Table of contents only Cover Inhaltsverzeichnis |
Tabla de Contenidos:
- Basic Concepts of Fluid Flow
- Conservation Principles
- Mass Conservation
- Momentum Conservation
- Conservation of Scalar Quantities
- Dimensionless Form of Equations
- Simplified Mathematical Models
- Incompressible Flow
- Inviscid (Euler) Flow
- Potential Flow
- Creeping (Stokes) Flow
- Boussinesq Approximation
- Boundary Layer Approximation
- Modeling of Complex Flow Phenomena
- Mathematical Classification of Flows
- Hyperbolic Flows
- Parabolic Flows
- Elliptic Flows
- Mixed Flow Types
- Introduction to Numerical Methods
- Approaches to Fluid Dynamical Problems
- What is CFD?
- Possibilities and Limitations of Numerical Methods
- Components of a Numerical Solution Method
- Mathematical Model
- Discretization Method
- Coordinate and Basis Vector Systems
- Numerical Grid
- Finite Approximations
- Solution Method
- Convergence Criteria
- Properties of Numerical Solution Methods
- Consistency
- Stability
- Convergence
- Conservation
- Boundedness
- Realizability
- Accuracy
- Discretization Approaches
- Finite Difference Method
- Finite Volume Method
- Finite Element Method
- Finite Difference Methods
- Approximation of the First Derivative
- Taylor Series Expansion
- Polynomial Fitting
- Compact Schemes
- Non-Uniform Grids
- Approximation of the Second Derivative
- Approximation of Mixed Derivatives
- Approximation of Other Terms
- Implementation of Boundary Conditions
- The Algebraic Equation System
- Discretization Errors.