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STATE OF THE ART CFD ANALYSIS FOR
HYDRODYNAMIC DESIGN IN SUBMARINE DEVELOPMENT
Henrik Gustafsson, Anna Eriksson, P-O Hedin, Johan Jensen
Conceptual Design/ Hydromechanics
TKMS Submarine Division / Kockums AB
Sweden
henrik.gustafsson@kockums.se
SYNOPSIS
Computational Fluid Dynamics (CFD) is widely used for analysis in submarine development within
TKMS Submarine Division. This technique is primarily used to study different areas regarding
hydrodynamic performance of the submarines. One important area of interest is hydrodynamic
resistance but several other subjects are studied as well. Much effort is spent on determining the
characteristics of the wake in order to optimise the flow conditions for the propulsor. Detailed studies
are performed for e.g. fin (sail) and control surfaces to point out the most favourable position on the
hull. Different locations of sensors are also studied in order to ensure optimal performance of each
device. Simulations of surface piercing masts are performed in order to analyse the resulting wave
pattern and water spray. By using a more advanced turbulence modelling technique called Large Eddy
Simulation (LES), analysis of flow induced noise is performed. Additionally, CFD is also applied
within other, i.e. non hydrodynamic areas of submarine design, such as on-board environment analyses
with regard to climate control. In order to increase the efficiency even more for the well proven
Stirling AIP-system, CFD analyses are conducted to optimise the design of the combustion chamber.
Introduction
The aim of CFD is to numerically solve the governing equations for fluid flow. Due
to the complexity of turbulent engineering flows, a numerical solution of the original
equations is computationally too demanding. Two approaches are used for solving the
problem, averaging (RANS, Reynolds Averaging Navier-Stokes) and filtering (LES,
Large Eddy Simulation) of the equations. With RANS all turbulence is modelled.
Using RANS is the classical way of solving turbulent engineering flows. However, if
time accurate pressure fluctuations and velocities are of importance, as in flow noise
studies, LES has to be used instead. LES is a more advanced turbulence modelling
technique in which the large scale turbulence is resolved and the small scale
turbulence is filtered out and modelled. This will, however, increase the
computational time from a few days to several weeks. There are two major reasons
for the increased computational time. First, the computational mesh has to be a lot
denser in order to properly resolve the turbulent scales. Second, the simulation has to
be time dependant and due to the small cells in the mesh the time step has to be very
small.
History
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CFD has been used within TKMS Submarine Division for about 20 years. The first
ambition was to increase the accuracy in resistance prediction by enabling analytical
results of pressure as well as viscous resistance to be obtained. Earlier analytical
methods only took the pressure resistance into account, using potential flows, leaving
the amount of viscous resistance to an estimation based on towing tank tests.
As different projects went by and questions of many kinds were discussed, a wider
potential for the CFD technology has emerged. However, the main topics for CFD
analyses lie within the area of hydrodynamics.
Hardware and Software
TKMS Submarine Division uses up-to-date pc-cluster technology with 28
computational nodes for CFD analyses. At the moment two different commercial
CFD softwares are available within the division, ANSYS CFX and Fluent. Since all
softwares have their special advantage the market is constantly observed to ensure
that the most suitable one is used for each purpose.
The CFD Process
The CFD process normally starts with creation of the actual geometry. This is usually
done with a CAD tool such as ProEngineer. Thereafter the geometry is imported to a
mesh tool, ANSYS ICEM CFD, where the mesh is created. Now, the mesh can be
read in to the CFD solver where the case is set up and solved. The results are finally
analysed using dedicated post processing softwares, CFX Post or Fieldview. This
process is tuned in to be as reliable as possible to provide sufficient results within a
limited time frame.
Applications
Below follows a selection of applications where CFD has been used to study different
aspects in submarine design. The first application is described more in detail to get a
general feeling of the analysis work.
Flow Field Analysis for Different Configurations of Mast Openings at the top of
the Fin
The characteristics of the flow field around the submarine are to some extent affected
by the configuration of mast openings at the top of the fin.
By simulating both the flow around the submarine as well as the flow in the free
flooded spaces, analyses of the flow field characteristics can be carried out for
different combinations of mast openings at the top of the fin to determine the effect of
changes in the mast opening configuration. The reason for this study was to get an
understanding of the characteristics of the flow in order to decide if the openings
should be covered or not.
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Results presented in this paper come from an initial study within the area. The
different configurations were generated from the openings shown in Figure 1. Due to
the academic level of the study, the submarine geometry used is generic. This implies
difficulties in the validation process due to lack of measured data. The study however
pointed at some interesting phenomena which makes the subject interesting for
further analysis.
From the results variations in the flow
field, both inside and around the
submarine, can be seen when the
configuration of the openings is altered.
Generally, there is a flow entering
through the slots in the casing and
passing, in a very complex way, through
the free flooded spaces to exit both
through the fin top openings and the
slots. The exit and egress point at the
slots as well as the structure of the flow
in the free flood spaces does, however,
differ from case to case.
Figure 1. Openings in the casing and at the top of
the fin for generating different cases
Figure 2. Streamlines and contours of vorticity
Vortices are generated in the vicinity of
both the slots and the mast openings. The
characteristics of the vortices are, however,
case dependent as well.
The results also indicate that the
configuration of a single opening can
produce effects on other openings. This is
seen in Figure 3 which shows a
comparison of two of the evaluated cases.
To visualise one of the differences,
velocity vectors coloured by x-component
of vorticity are plotted in a plane that cuts
through the aft starboard opening.
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For the case with two openings at the fin top (left) only separation vortices are
generated whereas for the case with three openings at the fin top (right), a horse shoe
vortex is produced at the opening as a result of an increased flow through that
opening.
Differences in the flow field can give rise to differences in signatures and resistance,
parameters that are important in submarine development. The results of the study
showed that this is an area that has to be analysed further to fully understand the
different aspects of the flow.
The generic submarine, designed by Kockums, is open and available for anyone who
wants to use it for CFD projects. The study is also open and available. Please, contact
any of the authors to get a copy.
Figure 3. Velocity vectors in a vertical plane that cuts through the aft starboard opening
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Design Optimisation
Using CFD, different designs are analysed with respect to resistance and flow field.
Fin designs with different shapes of the top has been analysed, i.e. flat and rounded
top respectively. By improving the design, the resistance of the fin was reduced with f
50%. In Figure 4 and 5 a dramatic difference in the flow field between the two fins
can be seen.
Figure 4. Rounded fin top Figure 5. Flat fin top
Certain objects such as outboard mounted sonars with fairings have been
parametrically analysed to find the most favourable geometry and position. These
analyses are of great importance in order to provide an optimum environment for e.g.
sensors. The same analysis will also make sure that existing apparatus is not disturbed
by the new details and that effects leading to increased signatures or disturbing the
propeller wake are not present.
Figure 6. Streamlines coloured by turbulent intensity
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Wake and Propeller Analyses
In cooperation with the Swedish Defence Material Administration, FMV, and other
research institutes, extensive research has been carried out regarding propulsor design
and determination of wake characteristics. CFD analyses show very good agreement
with unique full scale measurements on a Swedish submarine. In this case the CFD
results exceed results from the model test of the same submarine.
Figure 7. CFD vs. experimental data Figure 8. Wake fraction
CFD has also been used for analysing the flow conditions downstream of a propeller.
The analysis method used was validated using a four bladed propeller from which
measurements using Laser Doppler Velocimetry were available (INSEAN, Italy), see
Figure 9 and Figure 10.
Figure 9. Axial velocity, normalised Figure 10. CFD vs. experimental data
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Free Surface Flow
It is very important for a submarine in snorting condition to show as small Radar
Cross Section (RCS) as possible in order to avoid detection. Therefore it is of certain
interest to perform analysis of surface piercing masts. These simulations are made to
analyse resulting wave pattern and the amount of water spray. The mast resistance
and frequencies of vortex shedding at different speeds are also studied. By doing this,
speed limitations are set to guarantee safe conditions for the use of masts. Mast
analyses are performed for different mast geometries and for different configurations
of several masts. Other characteristics such as the periscope’s line of sight are also
determined. The mast positions can be optimised with regard to RCS and resistance.
In order to calculate the total RCS on a submarine using masts at periscope depth, the
wave pattern is then exported to software where the RCS of surface and masts are
calculated.
Figure 11. Single mast, cylindrical cross section Figur 12. In line masts, profiled cross section
The method for calculating wave pattern in free surface flows has been validated
using a NACA0024 profile. Wave pattern from a CFD analysis was compared with
experimental data and showed good agreement; see Figure 13 and Figure 14. Due to
mesh resolution, the CFD-results are smoother than the real surface.
Figure 13. Wave pattern Figure 14. CFD vs. experimental data
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Experimental Data
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Flow Induced Noise Prediction
By using Large Eddy Simulation (LES) analyses of flow induced noise are
performed. This is an advanced turbulence modelling technique for resolving the
turbulent quantities and pressure oscillations in more detail. This method is currently
being used and further developed. Making this technique applicable in submarine
development will open up a new branch of research, leading to even further capacity
of an already successful progress in signature management.
Non Hydrodynamic Analyses
Additionally, CFD is also applied with other, i.e. non hydrodynamic areas in
submarine design such as on-board environment with regard to heat and ventilation.
Studies are made of the battery compartment to ensure that the hydrogen
concentration remains below the safety limit in the whole space with no local high
gas concentrations during charging of the batteries. Environmental studies have been
performed of the living quarters to investigate the heat distribution.
In order to increase the efficiency even more for the well proven Stirling AIP-system,
CFD analyses are conducted to optimise the design of the combustion chamber.
Figure 15. Battery compartment Figure 16. Living quarter
Summary
CFD has been used for many years in submarine development and the number of
applications is still increasing. By using CFD in submarine hydrodynamic design the
operational performance has been increased due to optimisation of the design and
positioning of equipment such as sonars. Unexpected phenomena are avoided by
performing detailed studies of outboard arrangements. Compared to tank tests, CFD
analyses are more efficient and has also shown better agreement with full scale
measurements. CFD is also used in other, non hydrodynamic, areas such as
ventilation analysis of the battery compartment, heat distribution studies and
combustion chamber analysis.
KockumsKockums
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Author’s Biography
Henrik Gustafsson graduated from Lund Institute of Technology, Sweden,
in 2001 with a Master of Science in Mechanical Engineering. After
graduation he started his career working for Volvo Aero Corporation as a
development engineer with main interest in fluid mechanics. He is now
working for Kockums at the Conceptual Design Department, as a
specialist in hydrodynamics. His work involves a wide range of
applications regarding Computational Fluid Dynamics.
Anna Eriksson graduated as Master of Science in Naval Architecture in
2005. The studies were conducted at the Royal Institute of Technology
and at the Department of Shipping and Marine Technology at Chalmers
University of Technology, Sweden. Since 2005 she is employed at
Kockums as specialist in hydrodynamics at the Conceptual Design
Department. She is primarily working with Computational Fluid
Dynamics within a wide range of applications in particularly submarine
but also surface vessel development.
Per-Ola Hedin started his career in the RSwN serving as a technical officer
on the Sea Serpent class submarines between 1989 and 1995. During these
years he was also involved in submarine rescue and diving operations. In
1999 he graduated as Master of Science in Naval Architecture from the
Department of Vehicle Engineering at The Royal Institute of Technology,
Sweden, and started to work for Kockums as a Hydrodynamic specialist.
Since 2005 he is deputy manager of the Conceptual Design Department,
responsible for submarine development.
Johan Jensen started his career in the RSwN serving as an operational
officer (sonar, navigation, steering) on the Sea Serpent and the Näcken class
submarines between 1990 and 1995. In 2000 he graduated as Master of
Science in Naval Architecture from Department of Shipping and Marine
Technology at Chalmers University of Technology, Sweden. In 2000 he
started at the Swedish Defence Material Administration (FMV) as
Submarine Systems Engineer involved in procurement of the new
generation submarines for Sweden, Denmark and Norway (the Viking
Project). Since 2002 he is working at Kockums, as Naval Architect at the
Conceptual Design Department, involved in hydrodynamics and conceptual
design.