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W.A. Chanaka Sudheera
B.Sc. Eng. (Hons.)
University of Moratuwa
chanakasudheera@gmail.com
COMPUTATIONAL FLUID DYNAMICS
ME 4432
Motion of a torpedo through
water
Torpedo
“A cigar-shaped self-propelled underwater missile designed to be fired from a
ship or submarine or dropped into the water from an aircraft and to explode on
reaching a target”
- Oxford dictionary
2
Propeller of a torpedo
 In the present study, the motion of a torpedo was simulated using 6 DOF (degree of
freedom) solver available in the commercial CFD software ANSYS fluent.
Introduction
3
Objectives:
*To identify turbulent characteristics in a typical incompressible fluid flow that interacts continuously with rigid body of
the torpedo.
* To study transient variations of pressure-velocity fields of the flow domain interacting with the rigid body.
* To study two DOF motion of a torpedo through water at a specified rotor speed of the propeller.
Mesh and boundary conditions
4
Fluid body around the torpedo
Main fluid zone that deforms
after each time step
Surface mesh of the torpedo
5Inflation layers around the rigid body
Growth rate = 1.2
No. of layers = 5
Sizing function:
Proximity and curvature
 6 DOF solver was used for the solution and only two degrees of freedom were allowed for the
rigid body of the torpedo namely,
 Translational motion in x-direction
 Rotation around x-axis
6
𝑇𝑟𝑎𝑛𝑠𝑙𝑎𝑡𝑖𝑜𝑛
𝜔
 Mass of the torpedo = 50 kg
 Angular speed of the propeller = 750 rpm
= 78.5 rads-1
 Constant density of water = 998 kgm-3
Solver: Pressure based solver
 Pressure based solver was used since the velocities involved in this simulation are well below the speed of sound (In fact, less
than 1/3rd of speed of sound) so that fluid can be considered to be incompressible.
Pressure-velocity coupling scheme: Coupled
 Coupled algorithm was used since it provided a faster convergence rate for dynamic mesh updates and stabilized the solution
without causing divergence at the initial time steps.
Spatial discretization:
 Gradient: Least Square Cell Based
 On irregular (skewed and distorted) unstructured tetrahedral meshes, the accuracy of the least-squares gradient method is
comparable to that of the node-based gradient (and both are much more superior compared to the cell-based gradient).
However, it is less expensive to compute the least-squares gradient than the node-based gradient. Therefore, it was selected as
the gradient method in the solver.
 Pressure: PRESTO!
Pressure actually calculates pressure on the face. This is possible using staggered grids where velocity and pressure variables are
not "co-located". PRESTO! discretization gives more accurate results since interpolation errors and pressure gradient assumptions
on boundaries are avoided. This scheme works better for problems with strong body forces (swirl).
 Second order upwind scheme was used for momentum, turbulent kinetic energy (k) and turbulent dissipation rate (∈).
7
8
After t= 0.266 s
After t= 0.01 s
9
Flow time (s)
t = 0 to t = 0.10 s
Average velocity of torpedo (m/s) Average velocity of torpedo (m/s)
Flow time (s)
t = 0.1 to t = 0.176 s
Average velocity of torpedo (m/s)
Flow time (s)
t = 0.176 to t = 0.266 s
10
After t= 0.266 s
After t= 0.01 s
11
After t= 0.01 s
After t= 0.266 s
After t= 0.1 s
12
After t= 0.01 s
After t= 0.1 s
After t= 0.266 s
13
14

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CFD simulation of a 2-DOF motion of a Torpedo

  • 1. W.A. Chanaka Sudheera B.Sc. Eng. (Hons.) University of Moratuwa chanakasudheera@gmail.com COMPUTATIONAL FLUID DYNAMICS ME 4432
  • 2. Motion of a torpedo through water Torpedo “A cigar-shaped self-propelled underwater missile designed to be fired from a ship or submarine or dropped into the water from an aircraft and to explode on reaching a target” - Oxford dictionary 2 Propeller of a torpedo
  • 3.  In the present study, the motion of a torpedo was simulated using 6 DOF (degree of freedom) solver available in the commercial CFD software ANSYS fluent. Introduction 3 Objectives: *To identify turbulent characteristics in a typical incompressible fluid flow that interacts continuously with rigid body of the torpedo. * To study transient variations of pressure-velocity fields of the flow domain interacting with the rigid body. * To study two DOF motion of a torpedo through water at a specified rotor speed of the propeller.
  • 4. Mesh and boundary conditions 4 Fluid body around the torpedo Main fluid zone that deforms after each time step Surface mesh of the torpedo
  • 5. 5Inflation layers around the rigid body Growth rate = 1.2 No. of layers = 5 Sizing function: Proximity and curvature
  • 6.  6 DOF solver was used for the solution and only two degrees of freedom were allowed for the rigid body of the torpedo namely,  Translational motion in x-direction  Rotation around x-axis 6 𝑇𝑟𝑎𝑛𝑠𝑙𝑎𝑡𝑖𝑜𝑛 𝜔  Mass of the torpedo = 50 kg  Angular speed of the propeller = 750 rpm = 78.5 rads-1  Constant density of water = 998 kgm-3
  • 7. Solver: Pressure based solver  Pressure based solver was used since the velocities involved in this simulation are well below the speed of sound (In fact, less than 1/3rd of speed of sound) so that fluid can be considered to be incompressible. Pressure-velocity coupling scheme: Coupled  Coupled algorithm was used since it provided a faster convergence rate for dynamic mesh updates and stabilized the solution without causing divergence at the initial time steps. Spatial discretization:  Gradient: Least Square Cell Based  On irregular (skewed and distorted) unstructured tetrahedral meshes, the accuracy of the least-squares gradient method is comparable to that of the node-based gradient (and both are much more superior compared to the cell-based gradient). However, it is less expensive to compute the least-squares gradient than the node-based gradient. Therefore, it was selected as the gradient method in the solver.  Pressure: PRESTO! Pressure actually calculates pressure on the face. This is possible using staggered grids where velocity and pressure variables are not "co-located". PRESTO! discretization gives more accurate results since interpolation errors and pressure gradient assumptions on boundaries are avoided. This scheme works better for problems with strong body forces (swirl).  Second order upwind scheme was used for momentum, turbulent kinetic energy (k) and turbulent dissipation rate (∈). 7
  • 8. 8 After t= 0.266 s After t= 0.01 s
  • 9. 9 Flow time (s) t = 0 to t = 0.10 s Average velocity of torpedo (m/s) Average velocity of torpedo (m/s) Flow time (s) t = 0.1 to t = 0.176 s Average velocity of torpedo (m/s) Flow time (s) t = 0.176 to t = 0.266 s
  • 10. 10 After t= 0.266 s After t= 0.01 s
  • 11. 11 After t= 0.01 s After t= 0.266 s After t= 0.1 s
  • 12. 12 After t= 0.01 s After t= 0.1 s After t= 0.266 s
  • 13. 13
  • 14. 14