1- 1 gauss theorem
1-2 Reynolds transport theorem and fluid motion equation
1-3 Stokes Theorem
1-4 complex potential of plane potential flow
1-5 Brasius theorem
Application of 1-6 conformal mapping method
1-7 space source field and dipole field without swirl
1-8 green's theorem
Basic solution of 1-9 two-dimensional water wave velocity potential
Some common vector operation formulas of 1- 10
1- 1 1 Cartesian tensor
Chapter II Fluid Kinematics and Vortex Motion Theory
2- 1 Discussion on Two Methods of Describing Fluid Motion
2-2 flow function and its properties
Motion analysis of 2-3 fluid micelle
2-4 Non-rotating Motion Velocity Potential and Its Characteristics
2-5 Basic Characteristics and Theorems of Vortex Motion
2-6 Velocity divergence field (source field)
2-7 Vortex Ring and Vortex Pair Pulse
2-8 Vortex and Vortex Instability
utilize
Review thinking questions
Chapter III Basic Equations of Fluid Dynamics
3- 1 fluid constitutive equation
3-2 Mass Conservation Equation (Continuity Equation)
3-3 momentum conservation equation (Euler /N-S equation)
3-4 energy equation
3-5 Unified hydrodynamic equations, initial conditions and boundary conditions
Basic equations of fluid dynamics in 3-6 dimensionless formal similarity criteria
3-7 Basic Equation of Fluid Dynamics in Special Coordinate System
3-8 Simplified hydrodynamic equations at different levels
Some exact solutions of 3-9 incompressible viscous flow
Hydrodynamic equation in 3- 10 arbitrary curvilinear coordinate system
3- 1 1 hydrodynamic equation in non-orthogonal curvilinear coordinate system
utilize
Review thinking questions
Chapter IV Potential Flow Theory
Complex potential of 4- 1 two-dimensional potential flow
4-2 Flat wall mirror image and cylindrical mirror image
Application of 4-3 conformal mapping method
4-4 Brasius Theorem and Lagar Theorem
Complex potential of cylinder 4-5 motion
4-6 Force and additional mass on a two-dimensional cylinder moving in an ideal fluid
Basic solution and superposition of 4-7 three-dimensional potential flow
4-8 Spherical Quantization (Spherical Mirror Image)
4-9 Calculate the force and additional mass of an object moving arbitrarily in unbounded fluid.
4- 10 three-dimensional Lagar theorem
utilize
Review thinking questions
Chapter V Free Surface Effect
5- 1 bubble dynamics
Theoretical solution of cavitation flow around 5-2 hydrofoil
Basic equation and free surface boundary condition of 5-3 water wave
Basic solution of water fluctuation in 5-4 ideal fluid
5-5 surface waves at the interface between two liquids
Complex potential of two-dimensional singular motion under 5-6 free surface
Velocity potential of three-dimensional motion singularity under 5-7 free surface
Basic solution of velocity potential of 5-8 water wave diffraction, radiation and pulsation source
5-9 Some Basic Concepts of Ship Motion in Waves
utilize
……
Chapter VI Engineering Turbulence Simulation
refer to