Simulation of Underwater Explosion with Cavitation using ALE Method
Author
Abstract
In the present paper thecompressibleflowoftheunderwaterexplosionhasbeensimulatedusing One-fluid
method along with the Eulerian-Lagrangian ALE method. Besides, the exact Riemann solver and an appropriate
equation of state which is consistent with the thermodynamic behavior of water in underwater explosion, is employed.
The two dimensional underwater explosion problem near a flat plate is modeled. In order to increase the accuracy of
the method for simulating the wave front, the adaptive grid is used. The simulated underwater explosion results
agreed well with other similar numerical simulations. The numerical results indicate the capability of the present
study in simulating the physics of underwater explosion and modeling the fluctuations of explosive bubble and also
predicting the creation and collapse of the caviation zone.
method along with the Eulerian-Lagrangian ALE method. Besides, the exact Riemann solver and an appropriate
equation of state which is consistent with the thermodynamic behavior of water in underwater explosion, is employed.
The two dimensional underwater explosion problem near a flat plate is modeled. In order to increase the accuracy of
the method for simulating the wave front, the adaptive grid is used. The simulated underwater explosion results
agreed well with other similar numerical simulations. The numerical results indicate the capability of the present
study in simulating the physics of underwater explosion and modeling the fluctuations of explosive bubble and also
predicting the creation and collapse of the caviation zone.
Keywords
1. Arndt, R. E., “Cavitation in Fluid Machinery and Hydraulic Structures”, Annual Review of Fluid Mechanics, Vol. 13, pp. 273-326, 1981.
2. Rachid, F. B. F., “A Thermodynamically Consistent Model for Cavitating Flows of Compressible Fluids”, International Journal of Non-Linear Mechanics, Vol. 38, pp. 1007-1018, 2003.
3. McCoy, R., and Sun, C., “Fluid-Structure Interaction Analysis of a Thick-Section Composite Cylinder Subjected to Underwater Blast Loading”, Composite Structures, Vol. 37, pp. 45-55, 1997.
4. Rajendran, R., and Narasimhan, K., “Linear Elastic Shock Response of Plane Plates Subjected to Underwater Explosion”, International Journal of Impact Engineering, Vol. 25, pp. 493-506, 2001.
5. Ramajeyathilagam, K., and Vendhan, C., “Deformation and Rupture of Thin Rectangular Plates Subjected to Underwater Shock”, International Journal of Impact Engineering, Vol. 30, pp. 699-719, 2004.
6. Dellanoy, Y., and Kueny, J., “Two Phase Flow Approach in Unsteady Cavitation Modeling”, in Proceedings of the Spring Meeting of the Fluids Engineering Division, pp. 153-158, June 1990.
7. Schmidt, D. P., Rutland, C. J., and Corradini, M. L., “A Fully Compressible, Two-Dimensional Model of Small, High-Speed, Cavitating Nozzles”, Atomization and Sprays, Vol. 9, pp. 255-276, 1999.
8. Ventikos, Y., and Tzabiras, G., “A Numerical Method for the Simulation of Steady and Unsteady Cavitating Flows”, Computers and Fluids, Vol. 29, pp. 63-88, 2000.
9. Tang, H., and Huang, D., “A Second-Order Accurate Capturing Scheme for 1D Inviscid Flows of Gas and Water with Vacuum Zones”, Journal of Computational Physics, Vol. 128, pp. 301-318, 1996.
10. Van Aanhold, J., Meijer, G., and Lemmen, P., “Underwater Shock Response Analysis of a Floating Vessel”, Shock and Vibration, Vol. 5, pp. 53-59, 1998.
11. Liu, T., Khoo, B., and Xie, W., “Isentropic One-Fluid Modelling of Unsteady Cavitating Flow”, Journal of Computational Physics, Vol. 201, pp. 80-108, 2004.
12. Zhu, J., Liu, T., Qiu, J., and Khoo, B. C., “RKDG Methods with WENO Limiters for Unsteady Cavitating Flow”, Computers and Fluids, Vol. 57, pp. 52-65, 2012.
13. Xie, W., Liu, T., and Khoo, B., “Application of a One-Fluid Model for Large Scale Homogeneous Unsteady Cavitation: The Modified Schmidt Model”, Computers and Fluids, Vol. 35, pp. 1177-1192, 2006.
14. Pishevar, A., “An ALE Method for Compressible Multifluid Flows: Application to Underwater Explosion”, Proceedings of 11th Annual Conference of the CFD society, Canada, 2006.
15. Toro, E. F., “Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction”, Springer, 2009.
16. Wardlaw Jr, A. B., and Luton, J. A., “Fluid-Structure Interaction Mechanisms for Close-in Explosions”, Shock and Vibration, Vol. 7, pp. 265-275, 2000.
2. Rachid, F. B. F., “A Thermodynamically Consistent Model for Cavitating Flows of Compressible Fluids”, International Journal of Non-Linear Mechanics, Vol. 38, pp. 1007-1018, 2003.
3. McCoy, R., and Sun, C., “Fluid-Structure Interaction Analysis of a Thick-Section Composite Cylinder Subjected to Underwater Blast Loading”, Composite Structures, Vol. 37, pp. 45-55, 1997.
4. Rajendran, R., and Narasimhan, K., “Linear Elastic Shock Response of Plane Plates Subjected to Underwater Explosion”, International Journal of Impact Engineering, Vol. 25, pp. 493-506, 2001.
5. Ramajeyathilagam, K., and Vendhan, C., “Deformation and Rupture of Thin Rectangular Plates Subjected to Underwater Shock”, International Journal of Impact Engineering, Vol. 30, pp. 699-719, 2004.
6. Dellanoy, Y., and Kueny, J., “Two Phase Flow Approach in Unsteady Cavitation Modeling”, in Proceedings of the Spring Meeting of the Fluids Engineering Division, pp. 153-158, June 1990.
7. Schmidt, D. P., Rutland, C. J., and Corradini, M. L., “A Fully Compressible, Two-Dimensional Model of Small, High-Speed, Cavitating Nozzles”, Atomization and Sprays, Vol. 9, pp. 255-276, 1999.
8. Ventikos, Y., and Tzabiras, G., “A Numerical Method for the Simulation of Steady and Unsteady Cavitating Flows”, Computers and Fluids, Vol. 29, pp. 63-88, 2000.
9. Tang, H., and Huang, D., “A Second-Order Accurate Capturing Scheme for 1D Inviscid Flows of Gas and Water with Vacuum Zones”, Journal of Computational Physics, Vol. 128, pp. 301-318, 1996.
10. Van Aanhold, J., Meijer, G., and Lemmen, P., “Underwater Shock Response Analysis of a Floating Vessel”, Shock and Vibration, Vol. 5, pp. 53-59, 1998.
11. Liu, T., Khoo, B., and Xie, W., “Isentropic One-Fluid Modelling of Unsteady Cavitating Flow”, Journal of Computational Physics, Vol. 201, pp. 80-108, 2004.
12. Zhu, J., Liu, T., Qiu, J., and Khoo, B. C., “RKDG Methods with WENO Limiters for Unsteady Cavitating Flow”, Computers and Fluids, Vol. 57, pp. 52-65, 2012.
13. Xie, W., Liu, T., and Khoo, B., “Application of a One-Fluid Model for Large Scale Homogeneous Unsteady Cavitation: The Modified Schmidt Model”, Computers and Fluids, Vol. 35, pp. 1177-1192, 2006.
14. Pishevar, A., “An ALE Method for Compressible Multifluid Flows: Application to Underwater Explosion”, Proceedings of 11th Annual Conference of the CFD society, Canada, 2006.
15. Toro, E. F., “Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction”, Springer, 2009.
16. Wardlaw Jr, A. B., and Luton, J. A., “Fluid-Structure Interaction Mechanisms for Close-in Explosions”, Shock and Vibration, Vol. 7, pp. 265-275, 2000.
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