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.
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Spécialisation Mathematics for EngineersUniversité des sciences et technologies de Hong KongÀ propos de ce cours
4 306 consultations récentes
Dates limites flexibles
Réinitialisez les dates limites selon votre disponibilité.
Certificat partageable
Obtenez un Certificat lorsque vous terminez
100 % en ligne
Commencez dès maintenant et apprenez aux horaires qui vous conviennent.
Cours 5 sur 5 dans le
Niveau intermédiaire
Knowledge of matrix algebra, differential equations, vector calculus, numerical methods and the MATLAB programming language
Approx. 10 heures pour terminer
Anglais
Sous-titres : Anglais
Ce que vous allez apprendre
Computational Fluid Dynamics
Scientific Computing
Dates limites flexibles
Réinitialisez les dates limites selon votre disponibilité.
Certificat partageable
Obtenez un Certificat lorsque vous terminez
100 % en ligne
Commencez dès maintenant et apprenez aux horaires qui vous conviennent.
Cours 5 sur 5 dans le
Niveau intermédiaire
Knowledge of matrix algebra, differential equations, vector calculus, numerical methods and the MATLAB programming language
Approx. 10 heures pour terminer
Anglais
Sous-titres : Anglais
Offert par
Université des sciences et technologies de Hong Kong
HKUST - A dynamic, international research university, in relentless pursuit of excellence, leading the advance of science and technology, and educating the new generation of front-runners for Asia and the world.
Programme de cours : ce que vous apprendrez dans ce cours
4 heures pour terminer
Governing Equations
This week we learn the governing equations for the flow around a cylinder. We begin with the Navier-Stokes equations and the continuity equation, and derive a pair of coupled equations for the stream function and scalar vorticity. These equations are nondimensionalized and contain only a single dimensionless parameter called the Reynolds number. The governing equations are then simplified using log-polar coordinates.
4 heures pour terminer
10 vidéos (Total 67 min), 16 lectures, 1 quiz
3 heures pour terminer
Steady Flows
In this week, we formulate the computational fluid dynamics problem of the steady flow around a cylinder. We introduce the finite difference method and derive iteration equations. Boundary conditions are derived and the outline of a MATLAB program is discussed. Students will write a program to compute the stream function at a Reynolds number of ten.
3 heures pour terminer
8 vidéos (Total 63 min), 6 lectures, 1 quiz
3 heures pour terminer
Unsteady Flows
In this week, 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. The solution for the scalar vorticity will use a MATLAB ode integrator. Students will write code to compute the time-dependent scalar vorticity at a Reynolds number of sixty.
3 heures pour terminer
9 vidéos (Total 50 min), 8 lectures, 1 quiz
À propos du Spécialisation Mathematics for Engineers
This specialization was developed for engineering students to self-study engineering mathematics. We expect students are already familiar with single variable calculus and computer programming. Students will learn matrix algebra, differential equations, vector calculus and numerical methods. MATLAB programming will be taught. Watch the promotional video!
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