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Numerical Fluid Mechanics is a technology based on a fast and reliable computational methodology for solving complex fluid flow and heat transfer problems.

This course enables the product design team to reduce their risks of potential design failures, optimize their engineering design. Some important topics covered are such as Fourier decomposition, error analysis and stability; high-order and compact finite-differences; finite volume methods and many more.


This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.


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Course Credit: MIT

Course Curriculum

Module 01
Lecture1 Introduction to Numerical Fluid Mechanics 01:30:00
Lecture2 Recursion. Truncation Errors, Taylor Series and Error Analysis. 00:40:00
Lecture3 Roots of Non-linear Equations, Bracketing Methods 00:40:00
Lecture4 Systems of Linear Equations 00:50:00
Lecture5 Systems of Linear Equations. Gaussian Elimination 01:00:00
Lecture6 Systems of Linear Equations. Special Matrices 00:40:00
Lecture7 Systems of Linear Equations. Iterative Methods 00:40:00
Lecture8 End of Systems of Linear Equations 00:50:00
Lecture9 FD Schemes 00:50:00
Lecture10 FD Schemes 00:50:00
Lecture11 Finite-differences 00:40:00
Lecture12 Stability, Hyperbolic Eqns. Revisited 00:40:00
Module 02
Lecture13 End of Elliptic Hyperbolic Equations, Special Advection Schemes 01:00:00
Lecture14 Finite Volume Methods 01:00:00
Lecture15 Methods for Unsteady Problems. Time Marching Methods. 00:40:00
Lecture16 Time Marching (cont.) 00:40:00
Lecture17 Solutions of the Navier Stokes Equation 00:40:00
Lecture18 Solutions of the Navier Stokes Equation 00:40:00
Lecture19 Grid Generation and complex Geometries 00:40:00
Lecture20 Finite Volume on Complex Geometries 00:50:00
Lecture21 Finite Element Methods (cont.) 01:00:00
Lecture22 Lecture Recitation. Inviscid Flow Equations 00:40:00
Lecture23 Turbulent Flows 01:00:00
Lecture24 Finite Volume on Complex Geometries 00:50:00
Lecture25 Turbulence 01:00:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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