1. Edit this text for your title Edit this text for your sub-title Presenter name, location, date etc. MEK 4450 Marine Operations Kværner ASA / DNV, Fall 2012

2. Numerical Tools / Analysis Software Why numerical tools? More accurate and detailed description Why comercial tools: Time consuming to produce inhouse Better quality checks (?) Clients acceptance

3. Typical numerical model INPUT  A  B OUTPUT  A  B MODEL  A  B Notes  A  B Disadvantages Advantages

4. Numerical models Hydrostatic / stability models (e.g. AutoHydro, Hydro D) Basic hydrodynamic analyses (e.g. WADAM, WAMIT) Time domain coupeled analyses (e.g. SIMO) CFD Beam theory (e.g. Orcaflex, Riflex) FEM

5. Hydrostatic Analysis

6. Hydrostatic model INPUT  Wet hull shape  Mass  COG OUTPUT  Floating condition  Stability margins MODEL  Geometry: stripes  Mass and COG  Archimedes  Buoyancy and moments Use with care for non- standard aplications Quick and simple to use Purpose made For normal ship Hull and normal operations

7. Stability characteristics: four examples

8. Hydrodynamic Analysis

9. Floating object in waves - standard theory INPUT  Wet hull shape  Mass distribution OUTPUT  Motion, pressure ++  Transfer function  Postprocessing MODEL  Geometry: panels  Mass matrix  Inviscid  Incompressible  Vessel: rigid body  Incident waves  Viscous damping neglected  Couplings and nonlinearity neglected Quick and accurate solutions when relevant Purpose made For normal ship Hull and normal operations

10. Transfer function

11. Time Domain Analysis

12. Time domain simulation program INPUT  (Hydro)dynamic characteristics  Links, wires, beams etc  Environment OUTPUT  Time series for motions, forces etc  Design values: post processing MODEL  Rigid body motions  Forces from environments and links  Quality of coefficients?  Time consuming Realistic modeling of marine operations Stepping forward in time. Runge Kutta etc

13. CFD

14. INPUT  Boundary geometry and conditions  Initial conditons  Fluid and turbulence parameters OUTPUT  Fields for velocity, pressure etc at different time steps  Integrated quantities MODEL  Viscous fluid  Turbulence  Bodies with prescribed motion  Time consuming  Floating bodies? Realistic modeling of fluid flow Accurate (?) calcs of coefficients Stepping forward in time. Runge Kutta etc