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Module

CEG8517 : Computational Hydraulics

  • Offered for Year: 2020/21
  • Module Leader(s): Dr Caspar Hewett
  • Lecturer: Mr Vassilis Glenis
  • Owning School: Engineering
  • Teaching Location: Newcastle City Campus
Semesters
Semester 2 Credit Value: 10
ECTS Credits: 5.0

Aims

The aim of this module is to provide an understanding of numerical methods applied to problems in hydraulics. It is designed to provide a good understanding of the strengths, weaknesses and limitations of the methods which underpin mathematical models of real systems.
Students will acquire the necessary skills to use computational hydraulics software to solve engineering problems with competence and confidence.
The module will introduce a variety of numerical methods using a series of problems including advection (transport of a dissolved substance) and diffusion. Topics covered will include:
•       The method of characteristics,
•       Finite difference, finite element and finite volume methods;
•       Analysis of convergence, stability and accuracy of numerical schemes.
The above aims will be achieved by adopting a combination of lectures, tutorials and computer-based workshops.

Outline Of Syllabus

Introduction to method of finite differences;
Introduction to method of characteristics;
Introduction to method of finite volumes;
Introduction to method of finite elements;
Stability, accuracy and consistency of numerical schemes;
Explicit and implicit schemes;
Boundary conditions;
Conservative and non-conservative formulations of conservation laws
Rankine-Hugoniot conditions
Godunov type schemes and Riemann solvers;
Numerical schemes for solution of transport and diffusion equations in 1D;
Godunov type schemes for solution of Burgers’ equation in 1D;
Extension to 2D;

Workshops:
Finite difference and finite volume schemes for solution of problems In hydraulics

Teaching Methods

Module leaders are revising this content in light of the Covid 19 restrictions.
Revised and approved detail information will be available by 17 August.

Assessment Methods

Module leaders are revising this content in light of the Covid 19 restrictions.
Revised and approved detail information will be available by 17 August.

Reading Lists

Timetable