Enroll Course: https://www.coursera.org/learn/mathematics-engineers-capstone
If you’re an engineering student or a professional looking to deepen your understanding of fluid mechanics through computational methods, Coursera’s ‘Mathematics for Engineers: The Capstone Course’ is an exceptional choice. This course offers a comprehensive project-based experience that covers essential concepts in computational fluid dynamics (CFD), making complex fluid flow problems accessible and solvable through MATLAB.
The course begins by introducing the fundamental governing equations governing fluid flow, focusing on the Navier-Stokes equations and the continuity equation. Students learn to derive coupled equations for the stream function and vorticity, nondimensionalize these equations, and simplify them using log-polar coordinates for efficient computation.
One of the highlights is the hands-on approach to steady and unsteady flows around a cylinder. You will formulate CFD problems, implement the finite difference method, and develop MATLAB scripts to simulate the flow at various Reynolds numbers. The course also emphasizes boundary conditions and iterative solution techniques, which are critical skills in CFD.
What sets this course apart is the access to MATLAB online and MATLAB Grader, allowing for seamless coding and testing. The project culminates in applying your knowledge to compute the fluid flow around a cylinder, providing practical experience that closely mirrors real-world engineering challenges.
Overall, this course is highly recommended for those who already possess a background in matrix algebra and differential equations and want to practically apply mathematical concepts to solve fluid mechanics problems. It’s an excellent way to gain confidence in CFD and MATLAB programming, making it a valuable addition to any engineering portfolio.
Enroll Course: https://www.coursera.org/learn/mathematics-engineers-capstone