The Hong Kong University of Science and Technology
Mathematics for Engineers: The Capstone Course
The Hong Kong University of Science and Technology

Mathematics for Engineers: The Capstone Course

Jeffrey R. Chasnov

Instructor: Jeffrey R. Chasnov

Top Instructor

3,813 already enrolled

Included withCoursera Plus

Gain insight into a topic and learn the fundamentals.
4.9

(24 reviews)

Intermediate level

Recommended experience

9 hours to complete
3 weeks at 3 hours a week
Flexible schedule
Learn at your own pace
Gain insight into a topic and learn the fundamentals.
4.9

(24 reviews)

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

Details to know

Earn a career certificate

Add to your LinkedIn profile

Assessments

1 assignment

Taught in English

See how employees at top companies are mastering in-demand skills

Placeholder

Build your subject-matter expertise

This course is part of the Mathematics for Engineers Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
  • Learn new concepts from industry experts
  • Gain a foundational understanding of a subject or tool
  • Develop job-relevant skills with hands-on projects
  • Earn a shareable career certificate
Placeholder
Placeholder

Earn a career certificate

Add this credential to your LinkedIn profile, resume, or CV

Share it on social media and in your performance review

Placeholder

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 (11 ratings)
Jeffrey R. Chasnov

Top Instructor

The Hong Kong University of Science and Technology
16 Courses213,730 learners

Offered by

Recommended if you're interested in Math and Logic

Why people choose Coursera for their career

Felipe M.
Learner since 2018
"To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood."
Jennifer J.
Learner since 2020
"I directly applied the concepts and skills I learned from my courses to an exciting new project at work."
Larry W.
Learner since 2021
"When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go."
Chaitanya A.
"Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits."

Learner reviews

Showing 3 of 24

4.9

24 reviews

  • 5 stars

    91.66%

  • 4 stars

    8.33%

  • 3 stars

    0%

  • 2 stars

    0%

  • 1 star

    0%

KL
5

Reviewed on May 5, 2022

AI
5

Reviewed on Jun 10, 2023

BB
5

Reviewed on Sep 5, 2022

Placeholder

Open new doors with Coursera Plus

Unlimited access to 7,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription

Advance your career with an online degree

Earn a degree from world-class universities - 100% online

Join over 3,400 global companies that choose Coursera for Business

Upskill your employees to excel in the digital economy

Frequently asked questions