Engineering Computations and Modelling

课程简介

/ Indicative Syllabus Introduction to Computational Tools: Overview of computational software packages such as MATLAB, Python, and C++; Basic programming concepts and syntax. Numerical Methods: Root finding methods (e.g., bisection, Newton-Raphson); Numerical integration and differentiation techniques; Solving systems of linear equations. Curve Fitting and Interpolation: Least squares fitting; Interpolation methods (e.g., Lagrange interpolation, spline interpolation). Differential Equations and Modelling: Introduction to ordinary and partial differential equations; Modelling physical systems using differential equations; Numerical solution methods for differential equations (e.g., Euler's method, Runge-Kutta methods). -- 1 of 3 -- 2 Fundamentals of Finite Element Analysis (FEA): Basics of finite element method; Mesh generation and discretisation; Solving linear and nonlinear FEA problems. Fundamentals of Computational Fluid Dynamics (CFD): Introduction to computational fluid dynamics; Governing equations of fluid flow; Numerical solution methods for CFD simulations. Optimisation Techniques: Introduction to optimisation problems; Gradient-based and gradient-free optimisation algorithms; Application of optimisation techniques in engineering design and analysis. Statistical Analysis and Data Visualisation: Descriptive statistics and probability distributions; Hypothesis testing and regression analysis; Data visualisation techniques.

目标

This course aims to equip students with essential skills and knowledge in computational methods and modeling techniques relevant to engineering practice. Through the course, students will learn fundamental computational algorithms and programming languages, gaining proficiency in numerical analysis, data visualization, and mathematical modeling. The course eventually seeks to prepare students to tackle complex engineering challenges using computational approaches and to foster a mindset conducive to continuous learning and innovation in the field.

先修要求

/ Co-requisite/ Exclusion Nil

Teaching Pattern

Methodology The teaching and learning methods include lectures, mini-project and homework assignments. Technical/practical examples and problems will be raised and discussed in class. Project is designed to model engineering problems using computational skills. Teaching/Learning Methodology Outcomes a b c d Lecture     Mini-project     Homework assignments    