### Article Numerical Simulation of Fluid-Solid Coupling in Fractured Porous Media with Discrete Fracture Model and Extended Finite Element Method

"... Computation ..."

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### On Computational Homogenization of Fluid-filled Porous Materials Thesis for the degree of Doctor of Philosophy in Solid and Structural Mechanics

"... Cover: Fluid and solid phase in a Representative Volume Element under shear deformation and a prescribed hydrostatic pressure in the fluid. The image to the left shows the velocity field of the deformed fluid domain and the image on the right shows the von Mises stress of the deformed solid. ..."

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Cover: Fluid and solid phase in a Representative Volume Element under shear deformation and a prescribed hydrostatic pressure in the fluid. The image to the left shows the velocity field of the deformed fluid domain and the image on the right shows the von Mises stress of the deformed solid.

### A COMPARATIVE STUDY OF IMMERSED-BOUNDARY INTERPOLATION METHODS FOR A FLOW AROUND A STATIONARY CYLINDER AT LOW REYNOLDS NUMBER

"... The accuracy and computational efficiency of various interpolation methods for the implementation of non grid-confirming boundaries is assessed. The aim of the research is to select an interpolation method that is both efficient and sufficiently accurate to be used in the simulation of vortex induce ..."

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The accuracy and computational efficiency of various interpolation methods for the implementation of non grid-confirming boundaries is assessed. The aim of the research is to select an interpolation method that is both efficient and sufficiently accurate to be used in the simulation of vortex induced vibration of the flow around a deformable cylinder. Results are presented of an immersed boundary implementation in which the velocities near non-confirming boundaries were interpolated in the normal direction to the walls. The flow field is solved on a Cartesian grid using a finite volume method with a staggered variable arrangement. The Strouhal number and Drag coefficient for various cases are reported. The results show a good agreement with the literature. Also, the drag coefficient and Strouhal number results for five different interpolation methods were compared it was shown that for a stationary cylinder at low Reynolds number, the interpolation method could affect the drag coefficient by a maximum 2 % and the Strouhal number by maximum of 3%. In addition, the bi-liner interpolation method took about 2 % more computational time per vortex shedding cycle in companion to the other methods.

### OPTIMIZATION OF COOLING PROTOCOLS FOR HEARTS DESTINED FOR

, 2014

"... This work is brought to you for free and open access by the University Graduate School at FIU Digital Commons. It has been accepted for inclusion in ..."

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This work is brought to you for free and open access by the University Graduate School at FIU Digital Commons. It has been accepted for inclusion in

### Laurence Halpern Présidente

, 2015

"... methods for incompressible fluid-structure interaction ..."

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### type mortaring versus Robin-Robin coupling

"... Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling ..."

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Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling

### Accepted Manuscript An unconditionally stable semi-implicit FSI finite element method

"... unconditionally stable semi-implicit FSI finite element method, Comput. Methods Appl. Mech. ..."

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unconditionally stable semi-implicit FSI finite element method, Comput. Methods Appl. Mech.

### SEE PROFILE

, 2002

"... All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. ..."

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All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.

### Numerical simulation of coupled problems

"... The paper briefly describes one numerical model for the simulation of fluid-structure coupled problems. The presented model is primarily intended to simulate the fluid-structure dynamic interaction in seismic conditions of civil engineering structures which are in direct contact with fluid and which ..."

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The paper briefly describes one numerical model for the simulation of fluid-structure coupled problems. The presented model is primarily intended to simulate the fluid-structure dynamic interaction in seismic conditions of civil engineering structures which are in direct contact with fluid and which can often be encountered in engineering practice, for example: dams, water tanks (reservoirs), offshore structures, pipelines, water towers, etc. The model is based on the so called “partition scheme ” where the equations governing the fluid’s pressures and the displacement of the structure are solved separately, with two distinct solvers. The SPH (Smooth Particle Hydrodynamics) method is used for the fluid and the standard FEM (Finite Element Method) is used for the structure, which can be made from reinforced concrete or steel and which can be simulated with shell or 3D elements. The model includes the most important nonlinear effects of reinforced concrete behaviour: yielding in compression and opening and propagation of cracks in tension (with tensile and shear stiffness of cracked concrete), as well as steel behaviour: yielding in compression and tension. The most important nonlinear effects of the fluid can also be simulated, like fluid viscosity, turbulence and cavitation. Some of the model’s possibilities are illustrated in a practical example.

### An analysis of a new stable partitioned algorithm for FSI problems. Part II: Incompressible flow and structural shells

"... Stable partitioned algorithms for fluid-structure interaction (FSI) problems are developed and analyzed in this two-part paper. Part I describes an algorithm for incompressible flow coupled with compressible elastic solids, while Part II discusses an algorithm for incompressible flow coupled with st ..."

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Stable partitioned algorithms for fluid-structure interaction (FSI) problems are developed and analyzed in this two-part paper. Part I describes an algorithm for incompressible flow coupled with compressible elastic solids, while Part II discusses an algorithm for incompressible flow coupled with structural shells. The numerical approach described here for structural shells uses Robin (mixed) interface conditions for the pressure and velocity in the fluid which are derived directly from the governing equations. The resulting added-mass partitioned (AMP) algorithm is stable even for very light structures, requires no sub-iterations per time step, and is second-order accurate. The stability and accuracy of the AMP algorithm is evaluated for linearized FSI model problems. A normal mode analysis is performed to show that the new AMP algorithm is stable, even for the case of very light structures when added-mass effects are large. Exact traveling wave solutions are derived for the FSI model problems, and these solutions are used to verify the stability and accuracy of the corresponding numerical results obtained from the AMP algorithm for the cases of light, medium and heavy structures. A summary comparison of the AMP algorithm developed here and the one in Part I is provided.