流体力学（2016年秋）
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48 hours, 29 undergraduate students
Introduction of fluids; fluid motion; equations of motion (the Navier-Stokes Equations); simple solutions of the viscous flow equations; dynamical similarity; vorticity and vortex motion; waves; instability
流体力学（2017年春）
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48 hours, 52 undergraduate students
Introduction of fluids; fluid motion; equations of motion (the Navier-Stokes Equations); simple solutions of the viscous flow equations; dynamical similarity; vorticity and vortex motion; waves; convection; instability
Introduction Fluid Properties No Source Field and No Rotation Field Equations_18-26_Page19
Curvilinear Coordinates Divergence in Curvilinear Coordinate Kinematics I Kinematics II
Homework_March28 Homework_April06 Fluid_Motion_Equations Nondimensionalization
Homework and Book Chapter 4 Chapter 6: Vortex (part I) Chapter 6: Vortex (part II)
Chapter 6: Vortex (part III) Chapter 7: Waves I Wave Fundamentals by Geoff. K. Vallis
Surface Gravity Waves by Benoit Cushman-Roisin The Final 2 hours
大气科学前沿（2017年秋）
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Graduate course
North 547 of Physics School Building, Dept. of Atmospheric and Oceanic Sciences, Peking Univ.
流体力学（2018年春）
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48 hours, 65 undergraduate students
Introduction of fluids; fluid motion; equations of motion (the Navier-Stokes Equations); simple solutions of the viscous flow equations; vorticity and vortex; waves; convection
Chapter 1: Fluid Introduction
Introduction Fluid Properties No Source Field and No Rotation Field
Chapter 2: Vector and Tensor
Chapter 3: N-S Equations
Navier-Stokes Equations I Navier-Stokes Equations II Navier-Stokes Equations III Reynolds Transport Theorem
Chapter 4: Vortex
Chapter 7: Fluid Waves
Last Course: Turbulence
流体力学（2019年春）
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51 hours
Introduction; Cartesian Tensors; Kinematics; Conservation Laws; Vorticity Dynamics; Computational Fluid Dynamics
Introduction I Introduction II
流体力学演示视频
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All of the videos were downloaded from internet websites, such as youtube. They were NOT made by the instructer.
1. Fluid Introduction:
Carbon Dioxide Stunning Flow Viscosity Surface Tension Flows
2. Curl and Rotation:
Curl Rotational and Irrotational Flow
3. Vector and Tensor:
4. Reynolds Transport Theorem :
5. Effects of the Coriolis Force:
6. Diffusion:
Double Diffusion 1 Double Diffusion 2
7. Vortex:
Vortex in the Atmosphere Vortex in the Ocean Vortex Ring Saturn and Enceladus Vortex in a Lake Pool Vortex I Pool Vortex II Vortex Collision I Vortex Collision II Dolphin and Vortex Rocket and Vortex Vorticity Transport Vortex merger Two Vortices Interaction Vortex Interaction Saturn's Hexagon Interactions of Parallel Pulsed Jets Dacaying 2D turbulence
8. Waves:
Types of Waves Standing Waves Sound Wave Surface gravity Wave Atmosphere Wave Inertial gravity Wave in the ocean Surface Gravity Waves Winds and Waves Tsunami Wave Machine Demonstration Pool Gravity Wave Internal Gravity Waves Inertia-gravity Waves and Geostrophic Adjustment Spouting Out Group Velocity I Group Velocity II Group Velocity III Group Velocity IV
9. Convection:
10. Instability:
Kelvin Helmholtz Instability Baroclinic Instability
辛国君教授流体力学课件
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Before 2016, 48 hours
Chapter 1: Vector and Tensor Introduction
Field Theory Tensor 1 Tensor 2
Chapter 2: Fluid Introduction and Motion Description
Fluid Introduction Langrange and Euler Velocity Forces
Chapter 3: N-S Equations
NS Equations 1 NS Equations 2 NS Equations 3
Chapter 4: Static Fluid
Chapter 5: Vortex
Chapter 6: Inviscid Flow