123,389 research outputs found
Isogeometric analysis of Cahn-Hilliard phase field-based Binary-Fluid-Structure Interaction based on an ALE variational formulation
This thesis is concerned with the development of a computational model and simulation technique capable
of capturing the complex physics behind the intriguing phenomena of Elasto-capillarity. Elastocapillarity
refers to the ability of capillary forces or surface tensions to deform elastic solids through
a complex interplay between the energy of the surfaces (interfaces) and the elastic strain energy in the
solid bulk. The described configuration gives rise to a three-phase system featuring a fluid-fluid interface
(for instance the interface of a liquid and an ambient fluid such as air) and two additional interfaces
separating the elastic solid from the first and second fluids, respectively. This setup is encountered in the
wetting of soft substrates which is an emerging young field of research with many potential applications
in micro- and nanotechnology and biomechanics. By virtue of the fact that a lot of physical phenomena
under the umbrella of the wetting of soft substrates (e.g. Stick-slip motion, Durotaxis, Shuttleworth
effect, etc.) are not yet fully understood, numerical analysis and simulation tools may yield invaluable
insights when it comes to understanding the underlying processes. The problem tackled in this work –
dubbed Elasto-Capillary Fluid-Structure Interaction or Binary-Fluid-Structure Interaction (BFSI) – is
of multiphysics nature and poses a tremendous and challenging complexity when it comes to its numerical
treatment. The complexity is given by the individual difficulties of the involved Two-phase Flow
and Fluid-Structure Interaction (FSI) subproblems and the additional complexity emerging from their
complex interplay.
The two-phase flow problems considered in this work are immiscible two-component incompressible
flow problems which we address with a Cahn-Hilliard phase field-based two-phase flow model through
the Navier-Stokes-Cahn-Hilliard (NSCH) equations. The phase field method – also known as the diffuse
interface method – is based on models of fluid free energy and has a solid theoretical foundation in
thermodynamics and statistical mechanics. It may therefore be perceived as a physically motivated
extension of the level-set or volume-of-fluid methods. It differs from other Eulerian interface motion
techniques by virtue of the fact that it does not feature a sharp, but a diffuse interface of finite width
whose dynamics are governed by the joint minimization of a double well chemical energy and a gradientsquared
surface energy – both being constituents of the fluid free energy. Particularly for two-phase flows,
diffuse interface models have gained a lot of attention due to their ability to handle complex interface
dynamics such moving contact lines on wetted surfaces, and droplet coalescence or segregation without
any special procedures.
Our computational model for the FSI subproblem is based on a hyperelastic material model for the solid.
When modeling the coupled dynamics of FSI, one is confronted with the dilemma that the fluid model
is naturally based on an Eulerian perspective while it is very natural to express the solid problem in
Lagrangian formulation. The monolithic approach we take, uses a fully coupled Arbitrary Lagrangian–
Eulerian (ALE) variational formulation of the FSI problem and applies Galerkin-based Isogeometric
Analysis for the discretization of the partial differential equations involved. This approach solves the
difficulty of a common variational description and facilitates a consistent Galerkin discretization of the
FSI problem. Besides, the monolithic approach avoids any instability issues that are associated with
partitioned FSI approaches when the fluid and solid densities approach each other.
The BFSI computational model presented in this work is obtained through the combination of the above
described phase field-based two-phase flow and the monolithic fluid-structure interaction models and
yields a very robust and powerful method for the simulation of elasto-capillary fluid-structure interaction
problems. In addition, we also show that it may also be used for the modeling of FSI with free surfaces,
involving totally or partially submerged solids. Our BFSI model may be classified as “quasi monolithic”
as we employ a two-step solution algorithm, where in the first step we solve the pure Cahn-Hilliard phase
field problem and use its results in a second step in which the binary-fluid-flow, the solid deformation
and the mesh regularization problems are solved monolithically
Thermophysical Phenomena in Metal Additive Manufacturing by Selective Laser Melting: Fundamentals, Modeling, Simulation and Experimentation
Among the many additive manufacturing (AM) processes for metallic materials,
selective laser melting (SLM) is arguably the most versatile in terms of its
potential to realize complex geometries along with tailored microstructure.
However, the complexity of the SLM process, and the need for predictive
relation of powder and process parameters to the part properties, demands
further development of computational and experimental methods. This review
addresses the fundamental physical phenomena of SLM, with a special emphasis on
the associated thermal behavior. Simulation and experimental methods are
discussed according to three primary categories. First, macroscopic approaches
aim to answer questions at the component level and consider for example the
determination of residual stresses or dimensional distortion effects prevalent
in SLM. Second, mesoscopic approaches focus on the detection of defects such as
excessive surface roughness, residual porosity or inclusions that occur at the
mesoscopic length scale of individual powder particles. Third, microscopic
approaches investigate the metallurgical microstructure evolution resulting
from the high temperature gradients and extreme heating and cooling rates
induced by the SLM process. Consideration of physical phenomena on all of these
three length scales is mandatory to establish the understanding needed to
realize high part quality in many applications, and to fully exploit the
potential of SLM and related metal AM processes
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Modeling Virus Transport and Removal during Storage and Recovery in Heterogeneous Aquifers
A quantitative understanding of virus removal during aquifer storage and recovery (ASR) in physically and geochemically heterogeneous aquifers is needed to accurately assess human health risks from viral infections. A two-dimensional axisymmetric numerical model incorporating processes of virus attachment, detachment, and inactivation in aqueous and solid phases was developed to systematically evaluate the virus removal performance of ASR schemes. Physical heterogeneity was considered as either layered or randomly distributed hydraulic conductivities (with selected variance and horizontal correlation length). Geochemical heterogeneity in the aquifer was accounted for using Colloid Filtration Theory to predict the spatial distribution of attachment rate coefficient. Simulation results demonstrate that the combined effects of aquifer physical heterogeneity and spatial variability of attachment rate resulted in higher virus concentrations in the recovered water at the ASR well (i.e. reduced virus removal). While the sticking efficiency of viruses to aquifer sediments was found to significantly influence virus concentration in the recovered water, the solid phase inactivation under realistic field conditions combined with the duration of storage phase had a predominant influence on the overall virus removal. The relative importance of physical heterogeneity increased under physicochemical conditions that reduced virus removal (e.g. lower value of sticking efficiency or solid phase inactivation rate). This study provides valuable insight on site selection of ASR projects and an approach to optimize ASR operational parameters (e.g. storage time) for virus removal and to minimize costs associated with post-recovery treatment
A mesoscopic model for microscale hydrodynamics and interfacial phenomena: Slip, films, and contact angle hysteresis
We present a model based on the lattice Boltzmann equation that is suitable
for the simulation of dynamic wetting. The model is capable of exhibiting
fundamental interfacial phenomena such as weak adsorption of fluid on the solid
substrate and the presence of a thin surface film within which a disjoining
pressure acts. Dynamics in this surface film, tightly coupled with
hydrodynamics in the fluid bulk, determine macroscopic properties of primary
interest: the hydrodynamic slip; the equilibrium contact angle; and the static
and dynamic hysteresis of the contact angles. The pseudo- potentials employed
for fluid-solid interactions are composed of a repulsive core and an attractive
tail that can be independently adjusted. This enables effective modification of
the functional form of the disjoining pressure so that one can vary the static
and dynamic hysteresis on surfaces that exhibit the same equilibrium contact
angle. The modeled solid-fluid interface is diffuse, represented by a wall
probability function which ultimately controls the momentum exchange between
solid and fluid phases. This approach allows us to effectively vary the slip
length for a given wettability (i.e. the static contact angle) of the solid
substrate
Pore-scale Modeling of Viscous Flow and Induced Forces in Dense Sphere Packings
We propose a method for effectively upscaling incompressible viscous flow in
large random polydispersed sphere packings: the emphasis of this method is on
the determination of the forces applied on the solid particles by the fluid.
Pore bodies and their connections are defined locally through a regular
Delaunay triangulation of the packings. Viscous flow equations are upscaled at
the pore level, and approximated with a finite volume numerical scheme. We
compare numerical simulations of the proposed method to detailed finite element
(FEM) simulations of the Stokes equations for assemblies of 8 to 200 spheres. A
good agreement is found both in terms of forces exerted on the solid particles
and effective permeability coefficients
Phase-field approach to polycrystalline solidification including heterogeneous and homogeneous nucleation
Advanced phase-field techniques have been applied to address various aspects of polycrystalline solidification including different modes of crystal nucleation. The height of the nucleation barrier has been determined by solving the appropriate Euler-Lagrange equations. The examples shown include the comparison of various models of homogeneous crystal nucleation with atomistic simulations for the single component hard-sphere fluid. Extending previous work for pure systems (Gránásy L, Pusztai T, Saylor D and Warren J A 2007 Phys. Rev. Lett. 98 art no 035703), heterogeneous nucleation in unary and binary systems is described via introducing boundary conditions that realize the desired contact angle. A quaternion representation of crystallographic orientation of the individual particles (outlined in Pusztai T, Bortel G and Gránásy L 2005 Europhys. Lett. 71 131) has been applied for modeling a broad variety of polycrystalline structures including crystal sheaves, spherulites and those built of crystals with dendritic, cubic, rhombododecahedral, truncated octahedral growth morphologies. Finally, we present illustrative results for dendritic polycrystalline solidification obtained using an atomistic phase-field model
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