Fluid-solid interaction in arteries incorporating the autoregulation concept in boundary conditions

In pre-surgery decisions in hospital emergency cases, fast and reliable results of the solid and fluid mechanics problems are of great interest to clinicians. In the current investigation, an iterative process based on a pressure-type boundary condition is proposed in order to reduce the computational costs of blood flow simulations in arteries, without losing control of the important clinical parameters. The incorporation of cardiovascular autoregulation, together with the well-known impedance boundary condition, forms the basis of the proposed methodology. With autoregulation, the instabilities associated with conventional pressure-type or impedance boundary conditions are avoided without an excessive increase in computational costs. The general behaviour of pulsatile blood flow in arteries, which is important from the clinical point of view, is well reproduced through this new methodology. In addition, the interaction between the blood and the arterial walls occurs via a modified weak coupling, which makes the simulation more stable and computationally efficient. Based on in vitro experiments, the hyperelastic behaviour of the wall is characterised and modelled. The applications and benefits of the proposed pressure-type boundary condition are shown in a model of an idealised aortic arch with and without an ascending aorta dissection, which is a common cardiovascular disorder.

Analysis of Meshfree Methods for Lagrangian Fluid-Structure Interaction

In this dissertation a new numerical method for solving Fluid-Structure Interaction (FSI) problems in a Lagrangian framework is developed, where solids of different constitutive laws can suffer very large deformations and fluids are considered to be newtonian and incompressible. For that, we first introduce a meshless discretization based on local maximum-entropy interpolants. This allows to discretize a spatial domain with no need of tessellation, avoiding the mesh limitations. Later, the Stokes flow problem is studied. The Galerkin meshless method based on a max-ent scheme for this problem suffers from instabilities, and therefore stabilization techniques are discussed and analyzed. An unconditionally stable method is finally formulated based on a Douglas-Wang stabilization. Then, a Langrangian expression for fluid mechanics is derived. This allows us to establish a common framework for fluid and solid domains, such that interaction can be naturally accounted. The resulting equations are also in the need of stabilization, what is corrected with an analogous technique as for the Stokes problem. The fully Lagrangian framework for fluid/solid interaction is completed with simple point-to-point and point-to-surface contact algorithms. The method is finally validated, and some numerical examples show the potential scope of applications.

Finite element modeling of fluid-rock interaction problems in pore-fluid saturated hydrothermal/sedimentary basins

In order to use the finite element method for solving fluid-rock interaction problems in pore-fluid saturated hydrothermal/sedimentary basins effectively and efficiently, we have presented, in this paper, the new concept and numerical algorithms to deal with the fundamental issues associated with the fluid-rock interaction problems. These fundamental issues are often overlooked by some purely numerical modelers. (1) Since the fluid-rock interaction problem involves heterogeneous chemical reactions between reactive aqueous chemical species in the pore-fluid and solid minerals in the rock masses, it is necessary to develop the new concept of the generalized concentration of a solid mineral, so that two types of reactive mass transport equations, namely, the conventional mass transport equation for the aqueous chemical species in the pore-fluid and the degenerated mass transport equation for the solid minerals in the rock mass, can be solved simultaneously in computation. (2) Since the reaction area between the pore-fluid and mineral surfaces is basically a function of the generalized concentration of the solid mineral, there is a definite need to appropriately consider the dependence of the dissolution rate of a dissolving mineral on its generalized concentration in the numerical analysis. (3) Considering the direct consequence of the porosity evolution with time in the transient analysis of fluid-rock interaction problems; we have proposed the term splitting algorithm and the concept of the equivalent source/sink terms in mass transport equations so that the problem of variable mesh Peclet number and Courant number has been successfully converted into the problem of constant mesh Peclet and Courant numbers. The numerical results from an application example have demonstrated the usefulness of the proposed concepts and the robustness of the proposed numerical algorithms in dealing with fluid-rock interaction problems in pore-fluid saturated hydrothermal/sedimentary basins. (C) 2001 Elsevier Science B.V. All rights reserved.

Multilevel Domain Decomposition Algorithms for Monolithic Fluid-Structure Interaction Problems with Application to Haemodynamics

Finite element techniques for solving the problem of fluid-structure interaction of an elastic solid material in a laminar incompressible viscous flow are described. The mathematical problem consists of the Navier-Stokes equations in the Arbitrary Lagrangian-Eulerian formulation coupled with a non-linear structure model, considering the problem as one continuum. The coupling between the structure and the fluid is enforced inside a monolithic framework which computes simultaneously for the fluid and the structure unknowns within a unique solver. We used the well-known Crouzeix-Raviart finite element pair for discretization in space and the method of lines for discretization in time. A stability result using the Backward-Euler time-stepping scheme for both fluid and solid part and the finite element method for the space discretization has been proved. The resulting linear system has been solved by multilevel domain decomposition techniques. Our strategy is to solve several local subproblems over subdomain patches using the Schur-complement or GMRES smoother within a multigrid iterative solver. For validation and evaluation of the accuracy of the proposed methodology, we present corresponding results for a set of two FSI benchmark configurations which describe the self-induced elastic deformation of a beam attached to a cylinder in a laminar channel flow, allowing stationary as well as periodically oscillating deformations, and for a benchmark proposed by COMSOL multiphysics where a narrow vertical structure attached to the bottom wall of a channel bends under the force due to both viscous drag and pressure. Then, as an example of fluid-structure interaction in biomedical problems, we considered the academic numerical test which consists in simulating the pressure wave propagation through a straight compliant vessel. All the tests show the applicability and the numerical efficiency of our approach to both two-dimensional and three-dimensional problems.

A New Method for Modeling Free Surface Flows and Fluid-structure Interaction with Ocean Applications

The computational modeling of ocean waves and ocean-faring devices poses numerous challenges. Among these are the need to stably and accurately represent both the fluid-fluid interface between water and air as well as the fluid-structure interfaces arising between solid devices and one or more fluids. As techniques are developed to stably and accurately balance the interactions between fluid and structural solvers at these boundaries, a similarly pressing challenge is the development of algorithms that are massively scalable and capable of performing large-scale three-dimensional simulations on reasonable time scales. This dissertation introduces two separate methods for approaching this problem, with the first focusing on the development of sophisticated fluid-fluid interface representations and the second focusing primarily on scalability and extensibility to higher-order methods.

We begin by introducing the narrow-band gradient-augmented level set method (GALSM) for incompressible multiphase Navier-Stokes flow. This is the first use of the high-order GALSM for a fluid flow application, and its reliability and accuracy in modeling ocean environments is tested extensively. The method demonstrates numerous advantages over the traditional level set method, among these a heightened conservation of fluid volume and the representation of subgrid structures.

Next, we present a finite-volume algorithm for solving the incompressible Euler equations in two and three dimensions in the presence of a flow-driven free surface and a dynamic rigid body. In this development, the chief concerns are efficiency, scalability, and extensibility (to higher-order and truly conservative methods). These priorities informed a number of important choices: The air phase is substituted by a pressure boundary condition in order to greatly reduce the size of the computational domain, a cut-cell finite-volume approach is chosen in order to minimize fluid volume loss and open the door to higher-order methods, and adaptive mesh refinement (AMR) is employed to focus computational effort and make large-scale 3D simulations possible. This algorithm is shown to produce robust and accurate results that are well-suited for the study of ocean waves and the development of wave energy conversion (WEC) devices.

Development of a Coupling Model for Fluid-Structure Interaction using the Mesh-free Finite Element Method and the Lattice Boltzmann Method

In the presented thesis work, the meshfree method with distance fields was coupled with the lattice Boltzmann method to obtain solutions of fluid-structure interaction problems. The thesis work involved development and implementation of numerical algorithms, data structure, and software. Numerical and computational properties of the coupling algorithm combining the meshfree method with distance fields and the lattice Boltzmann method were investigated. Convergence and accuracy of the methodology was validated by analytical solutions. The research was focused on fluid-structure interaction solutions in complex, mesh-resistant domains as both the lattice Boltzmann method and the meshfree method with distance fields are particularly adept in these situations. Furthermore, the fluid solution provided by the lattice Boltzmann method is massively scalable, allowing extensive use of cutting edge parallel computing resources to accelerate this phase of the solution process. The meshfree method with distance fields allows for exact satisfaction of boundary conditions making it possible to exactly capture the effects of the fluid field on the solid structure.

Hybrid modelling of coupled pore fluid-solid deformation problems

A hybrid formulation for coupled pore fluid-solid deformation problems is proposed. The scheme is a hybrid in the sense that we use a vertex centered finite volume formulation for the analysis of the pore fluid and a particle method for the solid in our model. The pore fluid formally occupies the same space as the solid particles. The size of the particles is not necessarily equal to the physical size of materials. A finite volume mesh for the pore fluid flow is generated by Delaunay triangulation. Each triangle possesses an initial porosity. Changes of the porosity are specified by the translations of the mass centers of particles. Net pore pressure gradients are applied to the particle centers and are considered in the particle momentum balance. The potential of our model is illustrated by means of a simulation of coupled fracture and fluid flow developed in porous rock under biaxial compression condition.

Solution techniques for transport problems involving steep concentration gradients: application to noncatalytic fluid solid reactions

Some efficient solution techniques for solving models of noncatalytic gas-solid and fluid-solid reactions are presented. These models include those with non-constant diffusivities for which the formulation reduces to that of a convection-diffusion problem. A singular perturbation problem results for such models in the presence of a large Thiele modulus, for which the classical numerical methods can present difficulties. For the convection-diffusion like case, the time-dependent partial differential equations are transformed by a semi-discrete Petrov-Galerkin finite element method into a system of ordinary differential equations of the initial-value type that can be readily solved. In the presence of a constant diffusivity, in slab geometry the convection-like terms are absent, and the combination of a fitted mesh finite difference method with a predictor-corrector method is used to solve the problem. Both the methods are found to converge, and general reaction rate forms can be treated. These methods are simple and highly efficient for arbitrary particle geometry and parameters, including a large Thiele modulus. (C) 2001 Elsevier Science Ltd. All rights reserved.

Stability and asymptotic analysis of a fluid-particle interaction model

We are interested in coupled microscopic/macroscopic models describing the evolution of particles dispersed in a fluid. The system consists in a Vlasov-Fokker-Planck equation to describe the microscopic motion of the particles coupled to the Euler equations for a compressible fluid. We investigate dissipative quantities, equilibria and their stability properties and the role of external forces. We also study some asymptotic problems, their equilibria and stability and the derivation of macroscopic two-phase models.

Quantitative comparison of simulations of seismic wave propagation in heterogeneous poro-elastic media involving fluid-solid interfaces and in equivalent visco-elastic solids

There is increasing evidence to suggest that the presence of mesoscopic heterogeneities constitutes the predominant attenuation mechanism at seismic frequencies. As a consequence, centimeter-scale perturbations of the subsurface physical properties should be taken into account for seismic modeling whenever detailed and accurate responses of the target structures are desired. This is, however, computationally prohibitive since extremely small grid spacings would be necessary. A convenient way to circumvent this problem is to use an upscaling procedure to replace the heterogeneous porous media by equivalent visco-elastic solids. In this work, we solve Biot's equations of motion to perform numerical simulations of seismic wave propagation through porous media containing mesoscopic heterogeneities. We then use an upscaling procedure to replace the heterogeneous poro-elastic regions by homogeneous equivalent visco-elastic solids and repeat the simulations using visco-elastic equations of motion. We find that, despite the equivalent attenuation behavior of the heterogeneous poro-elastic medium and the equivalent visco-elastic solid, the seismograms may differ due to diverging boundary conditions at fluid-solid interfaces, where there exist additional options for the poro-elastic case. In particular, we observe that the seismograms agree for closed-pore boundary conditions, but differ significantly for open-pore boundary conditions. This is an interesting result, which has potentially important implications for wave-equation-based algorithms in exploration geophysics involving fluid-solid interfaces, such as, for example, wave field decomposition.

Fluid-rock interaction during late stages of the Alpine exhumation

Résumé de la thèseLa fracturation des roches au cours de phases compressives ou extensives est un souvent évoquée pour expliquer la circulation de fluide au sein des roches cristallines. Dans le cadre de cette thèse, la circulation des fluides lors de l'exhumation tardive des Alpes a été étudiée en utilisant deux approches différentes: analyses structurales de la déformation fragile d'une part et analyses géochimiques des roches et des minéraux (isotopes stables, datations U/Pb, thermochronologie (U-Th)/He) d'autre part. Cette approche combinée a permis de mieux comprendre l'interaction existante entre les fluides métamorphiques et les fluides météoriques, ainsi que leur interaction avec les roches encaissantes. Le travail a été effectué dans la zone Pennique du Valais suisse.La première partie était focalisée sur la déformation fragile, le but étant de définir les différents types de déformations existantes et de déterminer l'âge relatif des différentes familles de failles. Dans la région d'étude, quatre domaines ont été distingués. Chacun d'eux comportent deux types de structures fragiles, certaines sont minéralisées alors que d'autre non. Au sein de chaque domaine, la direction principale des structures minéralisées correspond à l'orientation des accidents tectoniques majeurs de la région (Aosta- Ranzola Line au Sud, Rhône Line au Nord et Simplon Fault Zone à l'Est), alors que les structures non- minéralisées montrent des orientations plus variables. Ainsi, le premier type de structure est interprété comme résultant d'une dislocation tectonique alors que le deuxième type de structure résulterait d'une dislocation gravitaire locale. Il n'est néanmoins pas possible de classer chronologiquement la formation de ces deux types de structure ni d'attribuer un âge relatif aux changements d'orientation des contraintes majeures.La deuxième étude a été effectuée dans la région de la zone de faille du Simplon. Dans cette zone, la composition isotopique des minéraux ayant cristallisé à l'intérieur des fractures tardives permet de distinguer différents types de circulation de fluide. Les valeurs δ180 du quartz de la roche encaissante ainsi que ceux des veines tardives du bloque inférieur de la faille sont comparables. Ces valeurs indiquent un rééquilibrage et un tamponnage isotopique des fluides tardifs au contact de la roche encaissante lors de la fracturation de cette dernière et de la cristallisation des veines tardives. La même situation est observée dans la partie nord du bloque supérieur ainsi que dans sa partie sud. Ceci n'est néanmoins pas le cas pour la partie centrale du bloque supérieur où les valeurs isotopiques des minéraux dans les veines tardives sont approximativement 3 %o plus basses (avec des valeurs extrêmes négatifs), indiquant une contribution d'eau météorique aux fluides circulant dans les veines. Ces données suggèrent qu'une infiltration d'eau météorique a pu avoir lieu dans le bloque supérieur, où la fracturation des roches est plus intensive car le déplacement relatif le long de la faille y fut plus important, et la température maximale du métamorphisme plus basse. La troisième contribution traite de la géo-thermochronologie de la zone de contact entre la klippe de la Dent Blanche et la nappe de Tsaté. De petits zircons euhédraux ont été trouvés dans un plan de faille minéralisé (parallèle à la Faille du Rhône, voir première partie de l'étude), riche en hématite et quartz, de la zone d'étude. Les analyses U/Pb donnent des âges radiométriques autour de 270 - 280 Ma aux zircons extraits de la minéralisation ainsi que ceux extraits de la roche encaissante, ce qui correspond à l'âge de la nappe de la Dent Blanche et non celui de la nappe du Tsaté qui est elle-même classiquement interprétée comme une ophiolite Jurassique de l'Océan Liguro-Piémontais. Ces données suggèrent que les zircons contenus dans la veine ont été hérités de la roche encaissante. Les résultats (U-Th)/He indiquent un âge de refroidissement différent pour la roche encaissante (25.5 ± 2.0 Ma) que celui de la minéralisation (17.7 ±1.4 Ma). Le thermomètre isotopique quartz-hématite indique une température d'équilibre, et donc de mise en place de la minéralisation, d'environ 170 °C, température très proche de la température de -180 °C de fermeture du zircon pour le système (U-Th)/He. Ceci suggère que l'âge de refroidissement des zircons de la minéralisation correspond aussi à l'âge de formation de la faille.Thesis abstractFluid circulation in fractured rocks is a common process in geology, and it is generally the consequence of faulting and fracturing during both tectonic compression and extension. This thesis is focused on fluid circulation during late stages of the Alpine exhumation. After a structural analysis of the late brittle deformation of the studied samples, several analytical methods (stable isotope investigations, U/Pb radiometric dating, (U-Th)/He thermochronology) have been applied to understand the interaction of metamorphic and meteoric fluids with one another as well as with the host rock. This thesis is articulated around three study directions. All studies were conducted in the Penninic Zone of the Valais, Switzerland. The first study deals with late, brittle deformation and focuses on the different deformation styles and on the relative age of the different families of fractures. In order to do this, late brittle structures observed in four different domains have been subdivided as a function of the existence (or not) and type of mineralization. Comparisons between mineralized and non-mineralized strike directions for all four domains show that mineralized structures follow the strike orientation of major tectonic movements indicated in the Penninic Zone of the Valais (Aosta-Ranzola Line to the S, Rhône Line to the Ν and Simplon Fault Zone to the E), whereas non-mineralized fractures have a more variable strike orientation. This difference could be interpreted as indicative of tectonic-related faulting (mineralized structures) vs. local, collapse-related faulting (non-mineralized fractures), but it is not strong enough to indicate a relative age of the late brittle structures, and/or a change in the orientation of the strain field in post-Miocene times. The second studied area is focused on the Simplon Fault Zone (SFZ). Stable isotope analyses of minerals filling these late fractures indicate that there are two different fluid circulation systems in the footwall and hanging wall of the SFZ. In the footwall, δ180 values of quartz from both the host rock and the late veins range from +10 %o to +12 %o. This is consistent with buffering of circulating fluids by the host rock during fracturing and vein precipitation. In the hanging wall, δΙ80 values for quartz crystals from the host rock and the late veins are similar in both the northern and southern parts of the detachment that are both affected by the same degree of metamorphism (greenschist to the Ν and amphibolite to the S). This is not the case in the central part of the SFZ, where there is a jump from amphibolite facies in the footwall to greenschist facies in the hanging wall. δ,80 values for quartz from the hanging wall late veins are approximately 3.0 %o lower (down to negative values in some cases) than the values observed in the footwall These data suggest that infiltration of meteoric water may have occurred in the most fractured parts of the hanging wall, where relative displacement on the SFZ was the greatest and the peak temperature lower. In the less fractured footwall the δ180 values reflect a host rock-buffered system.The third study is focused on geo-thermochronology at the contact between the Dent Blanche nappe and the Tsaté nappe where small, euhedral zircons were found in a hematite- and quartz-rich mineralization on a late normal fault plane parallel to the Rhône Line (see first part of the study). U/Pb analysis indicates that the zircons - both in the late mineralization and in the host rock - have absolute radiometric ages clustering around 270 - 280 Ma, which is the accepted age for intrusive rocks from the Austroalpine Dent Blanche units but not for the Tsaté nappe. The latter is classically interpreted as an ophiolitic remnant of the Jurassic Liguro-Piemontais Ocean. U/Pb analyses suggest that zircons in late mineralization are all inherited from the host rock; however, results of (U-Th)/He analyses indicate that cooling ages for the host rocks are different to the cooling ages for the zircons in late mineralization. Indeed, the calculated cooling age for the Arolla gneiss is 25.5 ± 2.0 Ma, whilst the cooling age for the associated mineralized fault plane is 17.7 ±1.4 Ma. Oxygen stable isotope fractionation between quartz and hematite in the same late mineralization corresponds to temperatures of about 170 °C. The proximity of the calculated emplacement temperature for the mineralization and the lower accepted closure temperature for zircon in the (U-Th)/He system (-180 °C) imply that the age of 17.7 ± 1.4 Ma can also be interpreted as the formation age of this late brittle fault.Résumé grand publicLa circulation des fluides dans les roches fracturées est typique de nombreux processus géologiques, et très souvent est la conséquence de la fracturation des roches. Cette thèse aborde la question de la circulation des fluides pendant les dernières phases du soulèvement des Alpes. Après une analyse structurale de la fracturation directement sur le terrain, plusieurs méthodes géochimiques ont été appliquées pour comprendre l'interaction entre les différents fluides circulants, et avec leur propre roche mère. L'étude, concentrée sur trois directions principales, a été conduite dans la zone Pennique du Valais suisse. La première partie traite de la déformation cassante dans le secteur cité. L'analyse détaillée des fractures a permis de les subdiviser en structures minéralisées et non-minéralisées, sur quatre domaines différents. La comparaison entre les directions des structures minéralisées et non-minéralisées a permis de montrer que les premières suivent l'orientation des accidents tectoniques majeurs de la région, alors que les structures non- minéralisées ont une orientation plus variable. Cette différence pourrait être interprétée comme indication d'une dislocation tectonique (structures minéralisées) contre une dislocation gravitaire locale (structures non-minéralisées), mais elle n'est pas assez forte pour indiquer un âge relatif des structures tardives et/ou un changement de l'orientation des contraintes après -20 Ma vers le présent.A partir de ces observations, la deuxième étude est concentrée dans la région de la faille du Simplon. Les analyses géochimiques sur les minéraux remplissant les structures tardives indiquent qu'il y a deux différents systèmes de circulation des fluides dans les deux parties (toit et mur) de la faille. Dans le mur, les valeurs isotopiques des minéraux cristallisés à partir d'un fluide tardif sont les mêmes de ceux de la roche mère, donc il y a eu rééquilibration chimique entre fluide et roche pendant la fracturation de cette dernière et la précipitation des minéraux. Dans le toit, les valeurs isotopiques dans la roche mère et dans les minéraux des veines tardives sont comparables dans les parties Ν et S de la faille, où les roches du toit et du mur ont atteint une température maximale - pendant phase prograde de la formation des Alpes - comparable. Au contraire, dans la partie centrale, où le mur a atteint des températures maximales plus élevées par rapport au toit, les valeurs géochimiques des minéralisations tardives du toit sont parfois plus basses que les valeurs observées dans le mur. Ces données suggèrent que l'infiltration de l'eau de surface aurait pu se produire dans la partie plus fracturée du toit, où le déplacement relatif le long de la faille était majeur et les températures maximales mineures. Au contraire, les données géochimiques du mur de la partie centrale indiquent un système isotopique équilibré par la roche mère.La troisième partie de ce travail se base sur l'étude géochimique intégrée des isotopes stables d'Oxygène et radioactifs du Plomb, Uranium, Thorium et Hélium, auprès d'une faille normale minéralisée et des roches de la région à cheval entre deux nappes, la nappe de la Dent Blanche et la nappe de Tsaté. Ici, des petits zircons ont été trouvés dans la minéralisation citée, riche en hématite et quartz. L'analyse radiométrique Uranium/Plomb a montré que les zircons dans la minéralisation et dans les roches autour ont des âges comparables (autour 280 Ma). Cela signifie que les zircons dans la minéralisation tardive ont été hérités de la roche mère pendant la fracturation et la circulation des fluides tardives. De l'autre coté, les résultats des analyses Uranium-Thorium/Hélium indiquent que les âges de refroidissement pour les roches mères sont différents comparés aux âges de refroidissement pour les zircons dans la minéralisation tardive: ces derniers sont plus jeunes d'environ 8 Ma (autour 25 Ma et autour 17 Ma respectivement). Les analyses des isotopes de l'oxygène sur quartz et hématite dans la même minéralisation donnent une température de mise en place de cette dernière d'environ 170° C. La température de fermeture du système chimique des zircons dans le système (Uranium-Thorium)/Hélium est d'environ 180 °C: la proximité de ces deux températures implique que l'âge de refroidissement de la minéralisation tardive peut également être interprété comme âge de formation de la faille.

Modeling of the Fluid-Structure Interaction in Inelastic Piping Systems

In many engineering applications, compliant piping systems conveying liquids are subjected to inelastic deformations due to severe pressure surges such as plastic tubes in modern water supply transmission lines and metallic pipings in nuclear power plants. In these cases the design of such systems may require an adequate modeling of the interactions between the fluid dynamics and the inelastic structural pipe motions. The reliability of the prediction of fluid-pipe behavior depends mainly on the adequacy of the constitutive equations employed in the analysis. In this paper it is proposed a systematic and general approach to consistently incorporate different kinds of inelastic behaviors of the pipe material in a fluid-structure interaction analysis. The main feature of the constitutive equations considered in this work is that a very simple numerical technique can be used for solving the coupled equations describing the dynamics of the fluid and pipe wall. Numerical examples concerning the analysis of polyethylene and stainless steel pipe networks are presented to illustrate the versatility of the proposed approach.

The Fluid Structure Interaction Analysis of a Peristaltic Pump

The thesis work models the squeezing of the tube and computes the fluid motion of a peristaltic pump. The simulations have been conducted by using COMSOL Multiphysics FSI module. The model is setup in axis symmetric with several simulation cases to have a clear understanding of the results. The model captures total displacement of the tube, velocity magnitude, and average pressure fluctuation of the fluid motion. A clear understanding and review of many mathematical and physical concepts are also discussed with their applications in real field. In order to solve the problems and work around the resource constraints, a thorough understanding of mass balance and momentum equations, finite element concepts, arbitrary Lagrangian-Eulerian method, one-way coupling method, two-way coupling method, and COMSOL Multiphysics simulation setup are understood and briefly narrated.

Be analysis of bottom sediments in dynamic fluid-structure interaction problems

[EN] Sediment materials play an important role on the dynamic response of large structures where fluid-soil-structure interaction is relevant and materials of that kind are present. Dam-reservoir systems and harbor structures are examples of civil engineering constructions where those effects are significant.