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

This course is part of Mathematics for Engineers Specialization

Taught in English

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Jeffrey R. Chasnov

Instructor: Jeffrey R. Chasnov

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Course

Gain insight into a topic and learn the fundamentals

4.9

(18 reviews)

Intermediate level

Recommended experience

9 hours (approximately)
Flexible schedule
Learn at your own pace

What you'll learn

  • Computational Fluid Dynamics

  • Scientific Computing

Details to know

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Assessments

1 quiz

Course

Gain insight into a topic and learn the fundamentals

4.9

(18 reviews)

Intermediate level

Recommended experience

9 hours (approximately)
Flexible schedule
Learn at your own pace

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

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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
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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 quiz1 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 (9 ratings)
Jeffrey R. Chasnov

Top Instructor

The Hong Kong University of Science and Technology
16 Courses199,117 learners

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