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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課程信息
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第 5 門課程（共 5 門）
中級
Knowledge of matrix algebra, differential equations, vector calculus, numerical methods and the MATLAB programming language
完成時間大約為10 小時
英語（English）
字幕：英語（English）
您將學到的內容有
Computational Fluid Dynamics
Scientific Computing
可靈活調整截止日期
根據您的日程表重置截止日期。
可分享的證書
完成後獲得證書
100% 在線
立即開始，按照自己的計劃學習。
第 5 門課程（共 5 門）
中級
Knowledge of matrix algebra, differential equations, vector calculus, numerical methods and the MATLAB programming language
完成時間大約為10 小時
英語（English）
字幕：英語（English）
提供方
香港科技大学
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.
授課大綱 - 您將從這門課程中學到什麼
完成時間為 4 小時
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.
完成時間為 4 小時
10 個視頻 （總計 67 分鐘）, 16 個閱讀材料, 1 個測驗
完成時間為 3 小時
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.
完成時間為 3 小時
8 個視頻 （總計 63 分鐘）, 6 個閱讀材料, 1 個測驗
完成時間為 3 小時
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.
完成時間為 3 小時
9 個視頻 （總計 50 分鐘）, 8 個閱讀材料, 1 個測驗
關於 Mathematics for Engineers 專項課程
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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