Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"Immersed interface"”.
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Numerical Methods for Simulating Fluid Motion Driven By Immersed Interface
… is computing the Stokes flow driven by an open immersed interface. The other topic is the simulation of the Stokes and Navier-Stokes fluid through an elastic tube driven by an internal source and sink. </p><p> For the first topic, we developed two second-order accurate method. One is for …
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Immersed Interface Adaptive Mesh Refinement Methods for Lithium-ion Battery Simulations
… efficient manner. This thesis develops novel immersed interface adaptive mesh refinement methods for Li-ion battery simulations. These approaches not only reduce the computational cost of solving the well-known P2D model but also enable multi-dimensional simulations that resolve the complex …
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Exploring Immersed FEM, Material Design, and Biological Tissue Material Modeling
This thesis utilizes the Immersed Interface Finite Element Method (IIFEM) for shape optimization and material design, while also investigating the modeling and parameterization of lung tissue for Diver Underwater Explosion (UNDEX) simulations. In the first part, a shape optimization scheme …
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High-Order and Wavelet-Adaptive Immersed Methods for PDEs on Complex Domain Geometries
The development of immersed methods brings a promising solution to the numerical simulation of interface-coupled multi-physics problems, such as multi-phase flows and fluidstructure interactions. This renders necessitates the design of novel high-order and efficient solvers based on immersed …
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Electro-deformation of a moving boundary: a drop interface and a lipid bilayer membrane
… the deformation of a viscous drop and a vesicle immersed in a (leaky) dielectric fluid under an electric field. A number of mathematical tools, both analytical and numerical, are developed for these investigations. The dissertation is divided into three parts. First, a large-deformation model is …
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Electrohydrodynamic Simulations of the Deformation of Liquid-Filled Capsules
… for the membrane structure of the capsule, fast immersed interface method for the electric field and immersed boundary method being used to consider the fluid-structure-electric interaction. Under the effect of electric field, two different types of equilibrium states, prolate or oblate are …
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A fast enriched FEM for Poisson equations involving interfaces
… Poisson equations involving complex geometry interfaces by using regular Cartesian grids. The presence of interfaces is accounted for by developing suitable jump conditions. The immersed boundary method (IBM) and the immersed interface method (IIM) are successfully used to solve these problems …
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Electrohydrodynamic Simulations of Capsule Deformation Using a Dual Time-Stepping Lattice Boltzmann Scheme
… The electrostatic equations are solved using the immersed interface method. A finite element method is used to compute the membrane’s elastic forces and the membrane’s bending resistance is described by the Helfrich bending energy functional. The membrane forces are coupled to the fluid equations …
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Characterizing Hydrodynamic Interactions of Underwater Vehicles in Close Proximity Using an Identical Ellipse Pair
… in close proximity were investigated using a 2D immersed interface method simulator in a viscous, rotational flow at Re=1500. Interactions in tandem, side-by-side, and staggered arrangements were characterized based on changes to the drag, lift, and yaw moment coefficients experienced by the …