A PFEM Background Mesh for Simulating Fluid and Frame Structure Interaction
Publication: Journal of Structural Engineering
Volume 148, Issue 6
Abstract
Hydrodynamic loading is an important consideration for the design and safety of coastal structures prone to tsunami hazards. Simulating the response of frame structures to tsunami loading requires an efficient and flexible computational approach that combines fluid elements with line (frame) elements in either two-dimensional or three-dimensional models. A background mesh approach incorporates flexible and nonlinear frame structures for the particle finite-element method (PFEM) with a fixed fluid mesh and a local moving fluid mesh surrounding the frame structure. With this approach, models of frame structures are able to interact with fluid flow considering the damaged structural state after an earthquake. The implementation and numerical simulations show the advantages and flexibility of this method. The simulations support future development of physics-based fragility functions for probabilistic postearthquake tsunami hazard assessment methodologies.
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Data Availability Statement
Source code for the PFEM background mesh approach is publicly available on GitHub (OpenSees 2020). Input files for the example scripts are available from the corresponding author upon request.
Acknowledgments
Partial support for this work was provided by Cooperative Agreement 70NANB15H044 between the National Institute of Standards and Technology (NIST) and Colorado State University through a subaward to Oregon State University. The contents of this paper are the views of the authors and do not necessarily represent the opinions or views of NIST or the US Department of Commerce.
References
Alam, M. S., A. R. Barbosa, M. H. Scott, D. T. Cox, and J. W. van de Lindt. 2018. “Development of physics-based tsunami fragility functions considering structural member failures.” J. Struct. Eng. 144 (3): 04017221. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001953.
Alam, M. S., A. R. Barbosa, M. H. Scott, D. T. Cox, and J. W. van de Lindt. 2019. “Multi-hazard earthquake-tsunami structural fragility assessment.” In Proc., 13th Int. Conf. on Applications of Statistics and Probability in Civil Engineering. Los Angeles: Civil Engineering Risk and Reliability Association.
Arnold, D., F. Brezzi, and M. Fortin. 1984. “A stable finite element for the Stokes equations.” Calcolo 21 (4): 337–344. https://doi.org/10.1007/BF02576171.
ASCE. 2017. Minimum design loads and associated criteria for buildings and other structures. ASCE/SEI 7-16. Reston, VA: ASCE.
Aygün, B., L. Dueñ as Osorio, J. E. Padgett, and R. Desroches. 2011. “Efficient longitudinal seismic fragility assessment of a multispan continuous steel bridge on liquefiable soils.” J. Bridge Eng. 16 (1): 93–107. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000131.
Barreiro, A., A. Crespo, J. Domínguez, and M. Gómez-Gesteira. 2013. “Smoothed particle hydrodynamics for coastal engineering problems.” Comput. Struct. 120 (Apr): 96–106. https://doi.org/10.1016/j.compstruc.2013.02.010.
Becker, P., S. Idelsohn, and E. Oñate. 2015. “A unified monolithic approach for multi-fluid flows and fluid–structure interaction using the particle finite element method with fixed mesh.” Comput. Mech. 55 (6): 1091–1104. https://doi.org/10.1007/s00466-014-1107-0.
Carey, T. J., H. B. Mason, A. R. Barbosa, and M. H. Scott. 2019. “Multihazard earthquake and tsunami effects on soil–foundation–bridge systems.” J. Bridge Eng. 24 (4): 04019004. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001353.
Crespo, A. J. C. 2008. “Application of the smoothed particle hydrodynamics model SPH ysics to free-surface hydrodynamics.” Ph.D. thesis, Dept. of Applied Physics, Univ. of Vigo.
Crisfield, M. A. 1991. Vol. 1 of Non-linear finite element analysis of solids and structures. New York: Wiley.
Dehnen, W., and H. Aly. 2012. “Improving convergence in smoothed particle hydrodynamics simulations without pairing instability.” Mon. Not. R. Astron. Soc. 425 (2): 1068–1082. https://doi.org/10.1111/j.1365-2966.2012.21439.x.
Gidaris, I., J. E. Padgett, A. R. Barbosa, S. Chen, D. Cox, B. Webb, and A. Cerato. 2017. “Multiple-hazard fragility and restoration models of highway bridges for regional risk and resilience assessment in the United States: State-of-the-art review.” J. Struct. Eng. 143 (3): 04016188. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001672.
Idelsohn, S., N. Nigro, A. Limache, and E. Oñate. 2012. “Large time-step explicit integration method for solving problems with dominant convection.” Comput. Methods Appl. Mech. Eng. 217–220 (1): 168–185. https://doi.org/10.1016/j.cma.2011.12.008.
Idelsohn, S. R., N. M. Nigro, J. M. Gimenez, R. Rossi, and J. M. Marti. 2013. “A fast and accurate method to solve the incompressible Navier-Stokes equations.” Eng. Comput. 30 (2): 197–222. https://doi.org/10.1108/02644401311304854.
Idelsohn, S. R., and E. Oñate. 2010. “The challenge of mass conservation in the solution of free-surface flows with the fractional-step method: Problems and solutions.” Int. J. Numer. Methods Biomed. Eng. 26 (10): 1313–1330. https://doi.org/10.1002/cnm.1216.
Kamra, M. M., J. A. Salami, M. Sueyoshi, and C. Hu. 2019. “Experimental study of the interaction of dambreak with a vertical cylinder.” J. Fluids Struct. 86 (Apr): 185–199. https://doi.org/10.1016/j.jfluidstructs.2019.01.015.
Krawinkler, H. 2000. State of the art report on systems performance of steel moment frames subject to earthquake ground shaking. Washington, DC: FEMA.
Liao, K., C. Hu, and M. Sueyoshi. 2015. “Free surface flow impacting on an elastic structure: Experiment versus numerical simulation.” Appl. Ocean Res. 50 (Mar): 192–208. https://doi.org/10.1016/j.apor.2015.02.002.
Marti, J., and P. Ryzhakov. 2020. “Improving accuracy of the moving grid particle finite element method via a scheme based on Strang splitting.” Comput. Methods Appl. Mech. Eng. 369 (9): 113212.
Matsumotoa, J. 2006. “A fractional step method for incompressible viscous flow based on bubble function element stabilization method.” Int. J. Comput. Fluid Dyn. 20 (3–4): 145–155.
McKenna, F., M. H. Scott, and G. L. Fenves. 2010. “Nonlinear finite-element analysis software architecture using object composition.” J. Comput. Civ. Eng. 24 (1): 95–107. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000002.
Misra, S., and J. E. Padgett. 2019. “Seismic fragility of railway bridge classes: Methods, models, and comparison with the state of the art.” J. Bridge Eng. 24 (12): 04019116. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001485.
Moukalled, F., L. Mangani, and M. Darwish. 2016. The finite volume method in computational fluid dynamics. New York: Springer.
Nithiarasu, P. 2005. “An arbitrary Lagrangian Eulerian (ALE) formulation for free surface flows using the characteristic-based split (CBS) scheme.” Int. J. Numer. Method Fluids 48 (12): 1415–1428. https://doi.org/10.1002/fld.987.
NRIED (National Research Institute for Earth Science and Disaster). 2019. K-NET, KiK-net, National Research Institute for Earth Science and Disaster Resilience. Tsukuba, Japan: NRIED. https://doi.org/10.17598/NIED.0004.
Oñate, E., S. Idelsohn, M. Celigueta, R. Rossi, J. Marti, J. Carbonell, P. Ryzhakov, and B. Suárez. 2011. Advances in the particle finite element method (PFEM) for solving coupled problems in engineering, 1–49. Dordrecht, Netherlands: Springer.
Oñate, E., S. Idelsohn, F. Del Pin, and R. Aubry. 2004. “The particle finite element method. An overview.” Int. J. Comput. Methods 1 (2): 267–307. https://doi.org/10.1142/S0219876204000204.
OpenSees. 2020. “Open system for earthquake engineering simulation.” Accessed August 8, 2020. https://github.com/OpenSees/OpenSees.
Palermo, D., I. Nistor, Y. Nouri, and A. Cornett. 2009. “Tsunami loading of near-shoreline structures: A primer.” Can. J. Civ. Eng. 36 (11): 1804–1815. https://doi.org/10.1139/L09-104.
Park, H., D. T. Cox, and A. R. Barbosa. 2018. “Probabilistic tsunami hazard assessment (PTHA) for resilience assessment of a coastal community.” Nat. Hazards 94 (3): 1117–1139. https://doi.org/10.1007/s11069-018-3460-3.
Phillips, C. 2011. “The 10 most destructive tsunamis in history.” Accessed June 20, 2020. https://www.australiangeographic.com.au/topics/science-environment/2011/03/the-10-most-destructive-tsunamis-in-history/.
Rafiee, A., and K. P. Thiagarajan. 2009. “An SPH projection method for simulating fluid-hypoelastic structure interaction.” Comput. Methods Appl. Mech. Eng. 198 (33–36): 2785–2795. https://doi.org/10.1016/j.cma.2009.04.001.
Ryzhakov, P., J. Marti, S. Idelsohn, and E. Oñate. 2017. “Fast fluid–structure interaction simulations using a displacement-based finite element model equipped with an explicit streamline integration prediction.” Comput. Methods Appl. Mech. Eng. 315 (Mar): 1080–1097. https://doi.org/10.1016/j.cma.2016.12.003.
Scott, M. H., and H. B. Mason. 2017. “Constant-ductility response spectra for sequential earthquake and tsunami loading.” Earthquake Eng. Struct. Dyn. 46 (9): 1549–1554. https://doi.org/10.1002/eqe.2871.
Simo, J. C., and T. J. R. Hughes. 1998. Computational inelasticity. New York: Springer.
Suppasri, A., A. Muhari, P. Ranasinghe, E. Mas, F. Imamura, and S. Koshimura. 2014. “Tsunami events and lessons learned: Environmental and societal significance.” In Damage and reconstruction after the 2004 Indian Ocean tsunami and the 2011 Tohoku tsunami, 321–334. Dordrecht, Netherlands: Springer.
Thio, H. K., P. Somerville, and J. Polet. 2010. Probabilistic tsunami hazard in California. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Wendland, H. 1995. “Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree.” Adv. Comput. Math. 4 (1): 389–396. https://doi.org/10.1007/BF02123482.
Xie, Z. 2019. “Tsunami loading on coastal infrastructure.” Ph.D. thesis, School of Civil and Construction Engineering, Oregon State Univ.
Yeh, H., A. R. Barbosa, H. Ko, and J. G. Cawley. 2014. “Tsunami loadings on structures review and analysis.” In Proc., 34th Conf. on Coastal Engineering, edited by P. Lynett. Red Hook, NY: Curran Associates.
Zhu, M., I. Elkhetali, and M. Scott. 2018. “Validation of OpenSees for tsunami loading on bridge superstructures.” J. Bridge Eng. 23 (4): 04018015. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001221.
Zhu, M., and M. H. Scott. 2014a. “Improved fractional step method for simulating fluid-structure interaction using the PFEM.” Int. J. Numer. Methods Eng. 99 (12): 925–944. https://doi.org/10.1002/nme.4727.
Zhu, M., and M. H. Scott. 2014b. “Modeling fluid–structure interaction by the particle finite element method in OpenSees.” Comput. Struct. 132 (Feb): 12–21. https://doi.org/10.1016/j.compstruc.2013.11.002.
Zhu, M., and M. H. Scott. 2017. “Unified fractional step method for Lagrangian analysis of quasi-incompressible fluid and nonlinear structure interaction using the PFEM.” Int. J. Numer. Methods Eng. 109 (9): 1219–1236. https://doi.org/10.1002/nme.5321.
Zienkiewicz, O., R. Taylor, and J. Zhu. 2005. Vol. 1 of The finite element method: Its basis and fundamentals. 6th ed. Oxford, UK: Butterworth-Heinemann.
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Journal of Structural Engineering
Volume 148 • Issue 6 • June 2022
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© 2022 American Society of Civil Engineers.
History
Received: Aug 4, 2021
Accepted: Jan 10, 2022
Published online: Mar 25, 2022
Published in print: Jun 1, 2022
Discussion open until: Aug 25, 2022
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