The properties and effects of flows are important in many areas of science and engineering - their prediction can be achieved through analytical, experimental and computational fluid mechanics. In this essential, Karim Ghaib introduces computational fluid dynamics. After an overview of mathematical principles, the author formulates the conservation equations of fluid mechanics and explains turbulence models. He describes the most important numerical methods and then gives types and evaluation criteria of computational meshes. This essential book is thus recommended to both the beginner and the user in the field of computational fluid dynamics.
Author(s): Karim Ghaib
Series: essentials
Publisher: Springer
Year: 2022
Language: English
Pages: 92
City: Wiesbaden
What You Can Find in This essential
Preface
Contents
Mathematical Basics
1.1 Differential Calculus for Functions of One Variable
1.2 Differential Calculus of Functions of Several Variables
1.3 Power Series Expansion of a Function
1.4 Solving Systems of Linear Equations
1.4.1 Matrix Notation
1.4.2 Gauss Algorithm
1.4.3 Iterative Algorithms
1.5 Vector Algebra and Analysis
1.5.1 Vector Operations
1.5.2 Projection of a Vector onto a Second Vector
1.5.3 Differentiation of a Vector According to a Parameter
1.5.4 Surfaces in Space
1.5.5 Differentiation of Fields: Gradient and Divergence
1.5.6 Surface Integrals
1.5.7 Gaussian Integral Theorem
Conservation Equations
2.1 Mass Conservation Equation
2.2 Momentum Conservation Equations
2.3 Energy Conservation Equation
Turbulent Flows
3.1 RANS Method
3.1.1 Eddy Viscosity Models
3.1.2 Reynolds Stress Models
3.2 Large Eddy Simulation
Discretization of the Conservation Equations
4.1 Finite Difference Method
4.2 Finite Volume Method
4.3 Solution Procedure
4.4 Boundary Conditions
Computational Mesh
What You Learned from This Essential
References
