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The SIMPLE Algorithm
Introduction and Welcome
Welcome, Course Structure and Housekeeping (18:28)
Course Textbook (15:06)
Lecture 1 - The Continuity and Navier-Stokes Equations (16:40)
Conceputal Algorithm
Lecture 2 - Conceptual Algorithm (Part 1) (16:54)
Lecture 2 - Example Problems (9:43)
Lecture 3 - Velocity and Pressure Corrections (19:21)
Lecture 3 - Example Problems (4:56)
The Finite Volume Method for the Navier-Stokes Equations
Lecture 4 - The Divergence Theorem (28:13)
Lecture 4 - Example Problems (9:28)
Lecture 5 - Advection and Diffusion Terms (21:42)
Lecture 5 - Example Problems (12:50)
Lecture 6 - Compact Form of the Navier-Stokes Equations (29:33)
Lecture 7 - Boundary Conditions (19:01)
Lecture 6 & 7 - Example Problems (14:19)
Lecture 8 - Matrix Form of the Navier-Stokes Equations (19:00)
Lecture 8 - Example Problem (10:28)
The Pressure Correction Equation
Lecture 9 - Derivation (Part 1) (32:03)
Lecture 9 - Example Problems (9:18)
Lecture 10 - Derivation (Part 2) (26:11)
Lecture 10 - Example Problems (16:45)
Lecture 11 - Matrix form of the Pressure Correction Equation (20:15)
Lecture 11 - Example Problems (10:45)
Updating the Flow Field
Lecture 12 - Updating the Flow Field (20:22)
Lecture 12 - Example Problems (13:29)
Lecture 13 - The Rhie & Chow Correction (20:50)
Lecture 13 - Example Problems (14:22)
MATLAB and Python Code
Code Walkthrough 1 - Lid-Driven Cavity Flow (63:30)
Code Walkthrough 2 - Channel Flow (29:30)
Writing your own code - Tips and Tricks! (19:14)
Additional Code - Staggered Variable Storage
SIMPLEC and PISO Algorithms
End of Course
Quiz
Certificate of Completion
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Lecture 9 - Example Problems
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