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In this article the Stokes equations are considered in a domain simulating a capillary bed system. The capillaries are supposed to be thin, parallel and periodic. An asymptotic approximation is constructed. The macroscopic pressure satisfies a Robin interf ...
We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and immersed boundary analysis. We use the principle of B-spline subdivision to derive a local refinement procedure, which combines full analysis suitability of the basis with ...
The finite cell method (FCM) belongs to the class of immersed boundary methods, and combines the fictitious domain approach with high-order approximation, adaptive integration and weak imposition of unfitted Dirichlet boundary conditions. Its main idea con ...
This paper addresses the dam-break problem for particle suspensions, that is, the flow of a finite volume of suspension released suddenly down an inclined flume. We were concerned with concentrated suspensions made up of neutrally-buoyant non-colloidal par ...
The first goal of this project is to study a reduced order model for the Fluid-Structure Interaction (FSI) problem. We present the assumptions made to achieve the reduced order formulation and its fully discretized numerical scheme. One of the characterist ...
We designed a compact, low-loss and wavelength insensitive Y-junction for submicron silicon waveguide using finite difference time-domain (FDTD) simulation and particle swarm optimization (PSO), and fabricated the device in a 248 nm complementary metal-oxi ...
The performance of a novel microfluidic impedance cytometer [1] for single-cell analysis is investigated in-silico by means of a finite element model. The main feature of the device is the ability to probe impedance of flowing cells along two orthogonal di ...
A model of sedimentation-consolidation processes in so-called clarifier-thickener units is given by a parabolic equation describing the evolution of the local solids concentration coupled with a version of the Stokes system for an incompressible fluid desc ...
A stabilized semidiscrete finite element discretization of the transient transport equation is studied in the framework of anisotropic meshes. A priori and a posteriori error estimates are derived, the involved constants being independent of the mesh aspec ...
Basic linear eigenmode spectra for electrostatic Langmuir waves and drift-kinetic slab ion temperature gradient modes are examined in a series of scenarios. Collisions are modeled via a Lenard-Bernstein collision operator which fundamentally alters the lin ...
