Direct Differentiation of the Particle Finite-Element Method for Fluid–Structure Interaction
Publication: Journal of Structural Engineering
Volume 142, Issue 3
Abstract
Sensitivity analysis of fluid–structure interaction (FSI) provides an important tool for assessing the reliability and performance of coastal infrastructure subjected to storm and tsunami hazards. As a preliminary step for gradient-based applications in reliability, optimization, system identification, and performance-based engineering of coastal infrastructure, the direct differentiation method (DDM) is applied to FSI simulations using the particle finite-element method (PFEM). The DDM computes derivatives of FSI response with respect to uncertain design and modeling parameters of the structural and fluid domains that are solved in a monolithic system via the PFEM. Geometric nonlinearity of the free surface fluid flow is considered in the governing equations of the DDM along with sensitivity of material and geometric nonlinear response in the structural domain. The analytical derivatives of elemental matrices and vectors with respect to element properties are evaluated and implemented in an open source finite element software framework. Examples involving both hydrostatic and hydrodynamic loading show that the sensitivity of nodal displacements, pressures, and forces computed by the finite-difference method (FDM) converge to the DDM for simple beam models as well as for a reinforced-concrete frame structure.
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Acknowledgments
This material is based on work supported by the National Science Foundation under Grant No. 0847055. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
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Published In
Journal of Structural Engineering
Volume 142 • Issue 3 • March 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Dec 31, 2014
Accepted: Aug 25, 2015
Published online: Nov 4, 2015
Published in print: Mar 1, 2016
Discussion open until: Apr 4, 2016
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