Global ETD Search
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Showing 1 to 6 of 6 for “"Immersed interface method"”.
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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
… This framework is based on lattice Boltzmann method for the fluid, finite element method 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 …
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A fast enriched FEM for Poisson equations involving interfaces
We develop a fast enriched finite element method for solving 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 …
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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 …
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Numerical Methods for Simulating Fluid Motion Driven By Immersed Interface
… dissertation introduces the new computational methods for two major topics. The first topic 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. …