Mathematics for Engineers: The Capstone Course provides a capstone project for students who are completing the Mathematics for Engineers specialization. Students will first learn some basic concepts in computational fluid dynamics, and then apply these concepts to compute the fluid flow around a cylinder. Access to MATLAB online and the MATLAB grader is given to all students who enroll.
Mathematics for Engineers: The Capstone Course
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Mathematics for Engineers: The Capstone Course
This course is part of Mathematics for Engineers Specialization
Instructor: Jeffrey R. Chasnov
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Intermediate level
Recommended experience
9 hours to complete
3 weeks at 3 hours a week
Flexible schedule
Learn at your own pace
What you'll learn
Computational Fluid Dynamics
Scientific Computing
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Assessments
1 assignment
Taught in English
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This course is part of the Mathematics for Engineers Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
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There are 3 modules in this course
We learn the governing equations for the flow around a cylinder. We discuss the Navier-Stokes equations and the continuity equation, and derive a pair of coupled equations for the stream function and scalar vorticity. We nondimensionalize these equations so that they contain only a single dimensionless parameter called the Reynolds number. We then simplify the nondimensional governing equations using log-polar coordinates.
What's included
10 videos16 readings1 assignment1 plugin
We formulate the computational fluid dynamics problem of the steady flow around a cylinder. We introduce the finite difference method and derive iteration equations. We derive boundary conditions and discuss the outline of a MATLAB program. Students will write a MATLAB code to compute the stream function at a Reynolds number of ten.
What's included
8 videos6 readings1 app item
We formulate the computational fluid dynamics problem of the unsteady flow around a cylinder. We introduce periodic boundary conditions in the polar angle, and show how to solve for the stream function using matrix methods. We show how to use a MATLAB ODE integrator to solve for the scalar vorticity. Students will write a MATLAB code to compute the time-dependent scalar vorticity at a Reynolds number of sixty.
What's included
9 videos8 readings1 app item
Instructor
Instructor ratings
5.0 (12 ratings)Top Instructor
The Hong Kong University of Science and Technology
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