Modelling Theory and Applications (WSE/HI/05/s)

Prerequisites

Basic Mathematics, Hydraulics, Computational fluid dynamics

Learning objectives

On completion of this module participants should be able to:

program a computer code for calculating free-surface flow in canals and provide interpretation of a series of test involving various initial and boundary conditions;
build a river flood model using SOBEK 1D and 2D, including specification of geometry and boundary conditions;
understand and explain the foundations of mathematical modelling;
explain how modelling software is developed, how to identify the type of model to use for a given application, how to select the modelling software, what modelling software is available, and how to instantiate and use a model safely in the context of a project;
describe the application of modelling in different situations involving rivers and coastal waters;
specify, design and build a simple modelling system;
use software development environment (Delphi) for software implementation.

Syllabus

Numerical Methods II (I. Popescu)
Introduction to finite volume method. Introduction to finite element method. Exercises.

River Modelling (A. Verwey, Deltares)
Physics of flood generation; flood wave propagation in natural rivers; introduction to SOBEK 1D; exercises on flood waves in regular channels; exercise and workshop on modelling floods in a real 1D system; introduction to SOBEK 2D; exercise and workshops on modelling channel-flood plain interactions.

Modelling Theory and Practice (R.K. Price)
Context of modelling; nature of modelling; conceptualisation; physically-based modelling software; modelling in the context of projects; building a model, calibration and verification, confirmation, verifying the structural integrity of the model domain, working with model uncertainty, applying a confirmed model including base line performance; mathematical modelling in practice.

Modelling System Development (D.P. Solomatine)
Developing modelling and graphical components of a water-based system using standard numerical and computer graphics toolboxes