3. 3
Overview of CFD
What is CFD?
Brief History
Overview of CFD Methods
Validation & Verification
4. 4
Fluid Dynamics
Theoretical
• Analytical Solutions (Heyday in 19th
& early 20th
Century)
• Potential Flow
• Many analytical solutions, including nonlinear equations (Airy, Stokes, Kelvin,
Lamb, Korteweg and de Vries, Stoker, …)
• Viscous Flow
• Very few analytical solutions (Stokes, Poiseuille, Blasius, Ekman, …)
• Theory of Turbulence (Reynolds, 1889 ->)
Experimental
• Many advances in laboratory and field instrumentation continue to
appear (e.g., Particle Image Velocimetry, Acoustic Doppler Current
Meters)
Computational
• Many advances continue in physical models, algorithms, software
(parallelization) and computing hardware
• Advances in CFD depend on good experimental data for verification
5. 5
Why CFD?
Real world flows are too complex to be
addressed solely by theory or experimentation
• Nonlinear
• Complicated Geometry
• Coupled (Heat & Mass Transfer, Chemical Reaction,
Fluid-Structure Interaction)
• Turbulent
6. 6
Some Historical Milestones
1922 - L. F. Richardson developed first
numerical weather prediction system
using finite differences calculated by
hand (Humans ~10-9
GFlop)
1946 - J. von Neumann develops
program for ENIAC to calculate
hydrogen bomb explosion (ENIAC ~10-6
GFlop)
1965 - Harlow & Welch develop the
MAC method at LANL; first successful
technique for incompressible flows
(CDC 6600 ~10-3
GFlop)
1981 - Spalding (ICL & CHAM)
develops the first commercial CFD code
- PHOENICS (CRAY X-MP ~100
GFlop)
2002 - NASA Pegasus5 CFD code is
used by Boeing to design the Sonic
Cruiser aircraft with much reduced
reliance on wind tunnel tests (IBM
BlueGene ~105
GFlop)
7. 7
Components of a Numerical
Solution Method
Mathematical Model
• Incompressible vs. Compressible, Laminar vs. Turbulent, 2D vs. 3D, etc
Discretization Method
• Finite Difference, Finite Volume, Finite Element
Coordinate System
• Cartesian, Orthogonal and Non-orthogonal Curvilinear, etc
Numerical Grid
• Structured, Block-structured, Unstructured
Finite Approximations
• Accuracy vs. speed
Solution Method
• Time stepping for transient; Iteration schemes for steady state
Convergence Criteria
8. 8
Validation & Verification
As with all Engineering Analysis codes, it is essential
that the model (i.e., code, conceptual modeling
assumptions, and input data) be verified and the
predicted results be validated
Validation ~ Solving the right equations
• Compare against measured data
• Compare against benchmark analytical and/or numerical
solutions
Verification ~ Solving the equations right
• Check convergence with mesh and time step refinement
• Make sure that numerical errors are sufficiently small
9. 9
Offshore Industry Use of CFD
Oil Companies
Chevron 9
Shell 5
Petrobras 4
BP 2
ExxonMobil 2
Service Co. & Consultants
Technip 8
Marintek 5
Marintek 3
Principia 2
SBM 1
BPP 1
Force 1
11. 11
Some Offshore Problem Areas
of Interest for CFD
Fluid-Structure Interaction
• Vortex-induced vibrations of risers
• Vortex-induced motions of floating platforms
Flow Around Vessel Hulls and Superstructure
• Wind and current forces
Slam and water impact loading
Sloshing in Tanks
12. 12
Riser VIV
QuickTimeª and a
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are needed to see this picture.
SOURCE: C.H.K. Williamson, Cornell U.
14. 14
Classic VIV Catastrophe
If ignored, these vibrations can prove catastrophic to
structures, as they did in the case of the Tacoma
Narrows Bridge in 1940.
SOURCE: A. H. Techet, MIT
15. 15
VIV in the Ocean
Non-uniform currents effect
the spanwise vortex shedding
on a cable or riser.
The frequency of shedding
can be different along length.
This leads to “cells” of vortex
shedding with some length, lc.
SOURCE: A. H. Techet, MIT
17. 17
VIV Suppression
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SOURCE: BP, GlobalSantaFe, Shell
18. 18
Platform Vortex-Induced Motions
Same phenomenon as Riser
VIV
Vortex-induced motion
amplitudes (A) for a Spar can
up to 1.5 times the Platform
Diameter (D), if no VIV
suppression is used
Motion is typically in a Figure
8 pattern
Magnitude of A/D is velocity
dependent
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SOURCE: A. H. Techet, MIT
19. 19
Wave Slamming
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Basic Physics
• Drag forces: caused by
viscosity resulting in flow
separation
• Inertia forces: related to the
acceleration of the incident
flow and the modification of
the incident wave pattern by
the member.
• Slam forces: occur when a
wave engulfs a member
causing a volume of water to
be decelerated (conservation
of fluid momentum)
Progress has bee made in
predicting loads using CFD
SOURCE: MARINTEK
20. 20
Surface Blow-Out Preventer
(SBOP)
Uses high pressure
casing riser
Allows wells to be drilled
quickly
Has been used in areas
with relatively calm
weather
Industry is looking to
extend to harsher
climates
Wave impact is a critical
issue
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SOURCE: Diamond Offshore Drilling
21. 21
Damage from Hurricane Waves
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SOURCE: Dave Wisch, Chevron
22. 22
Damage from Hurricane Waves
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SOURCE: Dave Wisch, Chevron
23. 23
Wind Forces
Typical industry practice
for offshore platform
design is to determine
wind loads from scaled
wind tunnel tests
Changes during design
or after installation may
require revision to wind
loads
CFD is being used to
determining effects of
changes
SOURCE: Force Technology
24. 24
Example Applications
Vortex-Induced Vibration of a Long Riser
Vortex-Induced Motion of a Spar
Wave Slamming
Tank Sloshing
Drag on a Riser Fairing
Wind Loads
25. 25
VIV of a Long Riser
Work performed by
Chevron
Comparisons made
against high quality lab
data from Norwegian
Deepwater Program
Fully 3D simulations for a
riser with L/D=1400. This
is a world record!
Procedure was to find the
coarsest mesh that yields
the required accuracy
SOURCE: OMAE2006-92124
Riser Configuration
Elevation View of Mesh
26. 26
Comparisons with Lab Data
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SOURCE: OMAE2006-92124
27. 27
VIM of a Spar
Work performed by
Chevron
Tow tests made of 1:46
scale model of Genesis
spar
Care was taken to
include appurtenances in
both physical & numerical
models
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SOURCE: OMAE2005-67238
28. 28
Mesh
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SOURCE: OMAE2005-67238
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VIM Results
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SOURCE: OMAE2005-67238
30. 30
Wave Impact - Idealized Case
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SOURCE:OTRC 11/05A156
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31. 31
Wave Slamming on GBS Deck
Work performed by
Marintek
Wave basin model of
Statfjord GBS at 1:54
scale
Deck instrumented to
record wave impact loads
Excellent agreement with
CFD calculation
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SOURCE: OMAE2005- 67097
34. 34
Summary
CFD has become a “mainstream” engineering tool for
many industrial applications
• Appropriate for initial studies
• Appropriate to interpolate and extrapolate measurements
Adoption in the Offshore Oil & Gas industry is growing
rapidly