Numerical Investigation of Wave Production due to Mass Slip Using Finite Volume Method and Overset Mesh

Document Type : Research Paper

Authors

• Shamsa Basirat ¹
• Ghasem Mokhtarzadeh ²
• Jalal Bazargan ³
• Ehsan Delavari ¹

¹ Assistant prof., Department of Civil Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Isfahan 81346, Iran

² Ph.D. Student, Department of Civil Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Isfahan 81346, Iran

³ Associate prof., Departments of Civil Engineering, University of Zanjan, Zanjan 4513956111, Iran

10.30495/wej.2022.27135.2291

Abstract

Abstract
Introduction: Impulsive waves (i.e., tsunamis) can be generated by sudden displacements of volumes of water induced by earthquakes, landslides, and volcanic eruptions, impacts of asteroids and gradients of atmospheric pressure.
Methods: we present a new method for numerically modelling landslide-generated tsunamis in OpenFOAM® by using a new approach based on the Overset mesh technique. This technique, which is based on the use of two (or more) numerical domains, is new in the coastal engineering field and appears to be extremely powerful to model the interaction between a moving body and one or more fluids. Indeed, the accurate resolution around the moving body (i.e., body-fitted approach), guaranteed by this method, and offers a great advantage to study the momentum exchange between the body and the water.
Findings: The results have been presented for the dimensionless distance and the normalized geometry of the landslide in the range 5 to 7, 1 to 2, respectively. These numbers have been normalized by the aid of the height of the landslide (a). According to the results of simulations, the tsunamis process is divided into three stages, which were analyzed in details with considering the interactions between the solid and the water reservoir.
 

Keywords

• Wave
• slip body
• fluid- structure interaction
• dam

20.1001.1.20086377.1401.15.54.8.3

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References

1.      Afshar, M. A. (2010). Numerical wave generation in OpenFOAM®.

2.       Aly, A. M., and Asai, M., (2014). "Incompressible smoothed particle hydrodynamics simulations of fluid-structure interaction on free surface flows", International Journal of Fluid Mechanics Research, Vol 41,  pp. 14-35.

3.      Ataie‐Ashtiani, B., and Shobeyri, G, (2007). "Numerical simulation of landslide impulsive waves by incompressible smoothed particle hydrodynamics", International Journal for Nnumerical Methods in Fluids, Vol 56, pp 209-232.

4.      de la Asunción, M., Castro, M. J., Mantas, J. M., & Ortega, S. (2016). Numerical simulation of tsunamis generated by landslides on multiple GPUs. Advances in Engineering Software, 99, 59-72

5.      de la Asunción, M., & Castro, M. J. (2017). Simulation of tsunamis generated by landslides using adaptive mesh refinement on GPU. Journal of Computational Physics, 345, 91-110.

6.      Esmaeil Heidari Fahvande , Nader Barahmand, (2017).   Application of the Standard Torbulance Model and the Volume of Fluid Method in Prediction of the Water Surface Profiles in a Hydraulic Jumps on the Triangular Corrugated Beds. , 9(28), 33-4 https://dorl.net/dor/20.1001.1.20086377.1395.9.28.3.46.‎

7.      Fritz, H. M., Hager, W. H., and Minor, H. E, (2003). "Landslide generated impulse waves", Experiments in Fluids, Vol 35, pp 505-519.

8.       Heller, V., & Hager, W. H. (2011). Wave types of landslide generated impulse waves. Ocean Engineering, 38(4), 630-640.

9.      Heller, V., & Hager, W. H. (2010). Impulse product parameter in landslide generated impulse waves. Journal of waterway, port, coastal, and ocean engineering, 136(3), 145-155.

10.  Heller, V., Bruggemann, M., Spinneken, J., & Rogers, B. D. (2016). Composite modelling of subaerial landslide–tsunamis in different water body geometries and novel insight into slide and wave kinematics. Coastal Engineering, 109, 20-41.

11.  Heinrich, P, (1992). "Nonlinear water waves generated by submarine and aerial landslides", Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol 118,  pp 249-266.

12.  Hossein Khorshidi, (2016). Numerical Investigation of Aeration System in High Flow Velocity Using VOF 62-74. https://dorl.net/dor/20.1001.1.20086377.1395.9.29.5.8

13.  Kim, G. B., Cheng, W., Sunny, R. C., Horrillo, J. J., McFall, B. C., Mohammed, F., & Kowalik, Z. (2019). Three Dimensional Landslide Generated Tsunamis: Numerical and Physical Model Comparisons. Landslides, 1-17.

14.  Li, C. Y., Shih, R. S., and Weng, W. K. (2020). Visualization Investigation of Energy Dissipation Induced by Eddy Currents for a Solitary-like Wave Passing over Submerged Breakwater Sets. Journal of Marine Science and Engineering, Vol 11, pp 834.

15.  Liu, P. F., Wu, T. R., Raichlen, F., Synolakis, C. E., & Borrero, J. C. (2005). Runup and rundown generated by three-dimensional sliding masses. Journal of fluid Mechanics, 536(1), 107-144.

16.  McFall, B. C., & Fritz, H. M. (2016). Physical modelling of tsunamis generated by three-dimensional deformable granular landslides on planar and conical island slopes. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2188), 20160052.

17.   Napoli, E., De Marchis, M., Gianguzzi, C., Milici, B., and Monteleone, A. (2016). A coupled Finite Volume–Smoothed Particle Hydrodynamics method for incompressible flows. Computer Methods in Applied Mechanics and Engineering,Vol 310, pp 674-693.

18.  OpenFOAM Foundation Ltd., (2016). "OpenFOAM — the open source CFD toolbox —Programmers’ guide"

19.   Panizzo, A., Bellotti, G., and De Girolamo, P, (2002). "Application of wavelet transform analysis to landslide generated waves", Coastal Engineering, Vol 44, pp 321-338.

20.  Pedersen, J. R., Larsen, B. E., Bredmose, H., and Jasak, H, (2017) "A new volume-of-fluid method in OpenFOAM",  In VII International Conference on Computational Methods in Marine Engineering.  pp. 266-278

21.  Pelinovsky, E., & Poplavsky, A. (1996). Simplified model of tsunami generation by submarine landslides. Physics and Chemistry of the Earth, 21(1-2), 13-17.

22.  Romano, A. (2020). Physical and Numerical Modeling of Landslide-Generated Tsunamis: A Review. Geophysics and Ocean Waves Studies.

23.  Robbe-Saule, M., Morize, C., Henaff, R., Bertho, Y., Sauret, A., and Gondret, P. (2020). Experimental investigation of tsunami waves

24.  Shadloo, M. S., Oger, G., and Le Touzé, D. (2016). Smoothed particle hydrodynamics method for fluid flows, towards industrial applications: Motivations, current state, and challenges. Computers and Fluids, Vol 136, pp 11-34

25.  Tong, C., Shao, Y., Hanssen, F. C. W., Li, Y., Xie, B., and Lin, Z. (2019). Numerical analysis on the generation, propagation and interaction of solitary waves by a Harmonic Polynomial Cell Method. Wave Motion,Vol 88, pp 34-56.

26.  Wang, B., Yao, L., Zhao, H., and Zhang, C, (2018) "The maximum height and attenuation of impulse waves generated by subaerial landslides",  Shock and Vibration, Vol 31, ,  pp 47-98

27.  Watts., P., (1998). Wavemaker curves for tsunamis generated by underwater landslides. Journal of Waterway, Port, Coastal, and Ocean Eng., 124(3):127–137.

28.  Windl, C., Davidson, J., Akram, B., and Ringwood, J. V, (2018) "Performance assessment of the overset grid method for numerical wave tank experiments in the OpenFOAM environment",  37th International Conference on Ocean, Offshore and Arctic Engineering.

29.  Worni, R., Huggel, C., Clague, J. J., Schaub, Y., & Stoffel, M. (2014). Coupling glacial lake impact, dam breach, and flood processes: A modeling perspective. Geomorphology, 224, 161-176.

30.  Wu, N. J., Hsiao, S. C., Chen, H. H., and Yang, R. Y. (2016). The study on solitary waves generated by a piston-type wave maker. Ocean Engineering, Vol 117, pp 114-129.

31.  Wu, N. J., Tsay, T. K., and Chen, Y. Y. (2014). Generation of stable solitary waves by a piston-type wave maker. Wave Motion,Vol 2,pp 240-255.

32.  Xie, Z., and Stoesser, T. (2020). Two-phase flow simulation of breaking solitary waves over surface-piercing and submerged conical structures. Ocean Engineering, Vol 213, pp 107-679.

33.  Xu, W. J., & Dong, X. Y. (2021) Simulation and verification of landslide tsunamis using a 3D SPH-DEM coupling method. Computers and Geotechnics, 129, 103803.