COURSE UNIT TITLE

: NUMERICAL METHODS IN OCEAN MODELLING

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
PHO 5005 NUMERICAL METHODS IN OCEAN MODELLING ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR MURAT GÜNDÜZ

Offered to

PHYSICAL OCEANOGRAPHY

Course Objective

The methods that are used for the solution of hydrodynamic equations in numerical
models of the ocean will be discussed. Advantages and disadvantages of the schemes as
well as the restrictions and problems in numerical models will be discussed. The
nonlinear equations which can not be solved analytically will be considered.

Learning Outcomes of the Course Unit

1   The student will be able to write the equations in physics as the solvable numerical expressions
2   The student will be able to solve even nonlinear equations numericaly
3   The students learn some numerical methods suitable to solve resulting differential equations related to different physical processes
4   The students can test the terms in differential equations easily changing the coofficients or removing the whole term

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction to ocean modelling Finite difference schemes Convergence of numerical schemes Stability
2 Time differencin schemes Definitions of schemes Computational mode
3 Oscillation equation Schemes for oscillation equation Stability Phase error of oscillation equation
4 Friction equation Schemes for friction equation Stability Phase error of friction equation
5 Advection equation Schemes for advection equation Stability Phase error of advection equation
6 Modelling of waves and computational dispersion Computational error in phase velocity Computational error in grup velocity
7 MIDTERM
8 Aliasing error and nonlinear instability Suppression and preventation of nonlinear instability
9 Gravity and gravity-inertia wave equations A,B,C,D,E grid systems Leapfrog scheme Explicit and implicit schemes
10 Filtering
11 Dissipation in numerical schemes
12 Modelling of partial differential equations Boundary value problems Initial value problems
13 Fourier method in numerical integration
14 Iterative methods

Recomended or Required Reading

Richtmayer, R. D. & K. W. Morton: Difference Methods for Initial-value Problems, 1967
Press, W. H. , B. P. Flannery, S. A. Teukolsky & W. T. Vetterling: Numerical Recipies,
Cambridge University Press, 1986
Al-Khafaji, A. W. & J. R. Tooley: Numerical Methods in Engineering Practice, 1986

Planned Learning Activities and Teaching Methods

Lectures will be held conventionaly. The students presents their equations and solving
methods. Open discussion will take place in the class.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.20 + ASG * 0.40 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.20 + ASG * 0.40 + RST * 0.40


Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Prof. Dr. Erdem SAYIN
Institute of Marine Sciences and Technology
erdem.sayin@deu.edu.tr

Office Hours

will be announce at the first lecture

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 12 3 36
Preparations before/after weekly lectures 13 3 39
Preparation for midterm exam 1 10 10
Preparation for final exam 1 20 20
Preparing assignments 1 60 60
Preparing presentations 1 10 10
Reading 10 2 20
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 199

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12
LO.1454353323534
LO.2555555545544
LO.3554353334524
LO.4554353334524

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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