Course code: mt523

Course name: Numerical Methods for MT

This concerns a Course

ECTS credit points: 4

Faculty of Mechanical Engineering and Marine Technology

Section of Ship Hydromechanics

Lecturer(s): Koning Gans, dr.ir. H.J. de

                   Bosman, ir. T.N.

Tel.:  015 - 27 81852

Catalog data:

Course year:

MSc 1^st year

Course language:

English

Semester:

1B

Hours per week:

4

Other hours:

Assessment:

Presentation

Assessment period:

1B

(see academic calendar)

Prerequisites (course codes):

Requirements: all BSc-courses Analysis, Linear Algebra and Differential Equations plus mt518, mt519 and mt520

Follow up (course codes):

Detailed description of topics:

Explanation of several flow models  and their fluid mechanics properties (pressure, velocity, mass and volume flow, momentum, energy flow etc.) and fluid domain in contrast with aerodynamics

Modeling flow models into numerical flow models.

Elementary solutions for potential flow and how to use them for panel codes which used these elementary solutions. Greens' function theory.

Grid generation techniques and how to use them. Several numerical error in the developing stage, desing and applications stage

Application for numerical method: Viscous flow Diffraction, Wave making pattern

Course material:

• Koning Gans, Dr. Ir. H.J. de "Numerical Methods in Ship Hydromechanics"
• Koning Gans, Dr. Ir. H.J. de "Manual of Numerical Methods in Ship Hydromechanics"

References from literature:

• Katz, J. & Plotkin, A."Low Speed Aerodynamics from Wing Theory to Panel Methods"

Remarks assessment, entry requirements, etc.:

All courses mathimatics, fluid dynamics and Resistance and Propulsion of ships of MT01,MT02,MT03

Learning goals:

1. explain the description of a mesh of a ship hull  and to produce a file which is readable for computational tools

2. describe different type of griding techniques and several spacing distributions

3. describe the Greens function and the Greens identity

4. use elementary solutions for potential flow in the Green function and how to use the elementary solutions to transform the Greens identity to a Fredholm equation of the second kind

5. use the Fredholm equation for a potential flow model and to discretise it into panel codes

6. define which numerical application has to be used for a specific problem (e.g. a given flow around ships with or without free surface flow (pressure distribution, constant velocity, area's etc.)

7. define which simplifications or linearization have to  be used and which physic phenomena is used

8. define which boundary conditions have to be used

9. explain the numerical models based on potential flow with or without free surface flow and it's linearization

10. indicate when a specific application is used, what kind of flow model it is based on

11. determine the range of the most important parameter(s), which for the method is used

12. determine the grid size for the specific problem

13. make a grid

14. analyse the output data which the specific program has generated

15. describe the higher order method and truncation error and the von Neumann condition

Computer use:

Three  different numerical tools (Navier-stokes, Delffrac and Delkelv) have to be used

Laboratory project(s):

Design content:

Opti,alisatiom of hull forms

Percentage of design:  10%