Knowledge of Navier-Stokes equations and the physical meaning of individual terms. Learning about the discretization procedures and numerical solution of the discrete equations. Getting familiar with turbulence modelling and turbulence models. Getting familiar with the methods of grid generation and commercial software package. Ability to critically evaluate the results of numerical simulations.

Student responsibilities:

Grading and evaluation of student work over the course of instruction and at a final exam:

Project assignment, oral exam.

Methods of monitoring quality that ensure acquisition of exit competences:

Attending lectures and excercises, accomplishing project, oral exam.

Upon successful completion of the course, students will be able to (learning outcomes):

Analyze the water flow around the ship hull. Identify the main causes of reduced physicality in the numerical simulation. Compare different approaches of turbulence modelling, in order to choose the most favorable one. Prepare students to use a commercial software package in marine hydrodynamics. Analyze the quality of the generated grid of finite volumes. Investigate the effect of changing the geometric features of ship hull on the flow around the ship hull. Determine the validity of the obtained solution using the verification and validation studies. Critically evaluate the results of numerical simulation of viscous flow (project).

Lectures

1. Introduction. Importance and application of computational fluid dynamics. Examples of application in marine hydrodynamics.

2. Basic equations of the viscous flow theory. Boundary conditions.

3. Turbulent flow. Turbulence modelling.

4. Turbulence models. Turbulence models of the first, second and third order.

5. Modelling of the boundary layer. Wall functions.

6. Modelling of free surface flows.

7. Discretization of the differential equations. Finite Element Method. Finite Difference Method.

8. Discretization of the differential equations. Finite Volume Method.

9. Grid generation. Types of grid.

10. Spatial discretization. Temporal discretization. Differencing schemes for the time integration.

11. Discretization error. Verification study.

12. Analysis of the results. Validation study.

13. Example of numerical simulation - resistance test.

14. Example of numerical simulation - open water test.

15. Example of numerical simulation - self-propulsion test.

Exercises

1. Understanding the content, solving and defending project assignment.

2. Accomplishing project assignment.

3. Accomplishing project assignment.

4. Accomplishing project assignment.

5. Accomplishing project assignment.

6. Accomplishing project assignment.

7. Accomplishing project assignment.

8. Accomplishing project assignment.

9. Accomplishing project assignment.

10. Accomplishing project assignment.

11. Accomplishing project assignment.

12. Accomplishing project assignment.

13. Accomplishing project assignment.

14. Accomplishing project assignment.

15. Accomplishing project assignment.

Compulsory literature:

Ferziger, J. H., Perić, M., Computational Methods for Fluid Dynamics, Springer Science &

Business Media, 2012.

Molland, A.F., Turnock, S.R., Hudson, D.A., Ship Resistance and Propulsion: Practical Estimation of Ship Propulsive Power, Cambridge University Press, 2011.

Bertram, V., Practical Ship Hydrodynamics, Buterworth Heinemann, 2000.

Larsson, L., Raven, H.C., Principles of Naval Architecture Series: Ship Resistance and Flow, The Society of Naval Architects and Marine Engineers, 2010.

White, F. M., Viscous fluid flow, McGraw-Hill Series in Mechanical Engineering, 1991.

Wesseling, P., Principles of Computational Fluid Dynamics, Springer series in computational mathematics, 2011.

Recommended literature:

Lewandowski, E.M., The Dynamics of Marine Craft: Maneuvering and Seakeeping, World Scientific Publishing Co Pte Ltd, 2004.

Carlton, J., Marine Propellers and Propulsion, Elsevier Ltd., 2012.

McCormick, M.E., Ocean Engineering Mechanics: With Applications, Cambridge University Press, 2010.

Faltinsen, O.M., Hydrodynamics of High-Speed Marine Vehicles, Cambridge University Press, 2010.