Due to developments in additive manufacturing, the production of piezoelectric materials with complex geometries is becoming viable and enabling the manufacturing of thicker harvesters. Therefore, in this study a piezoelectric harvesting device is modelled as a bimorph cantilever beam with a series connection and an intermediate metallic substrate using the plain strain hypothesis. On the other...

This report describes a domain decomposition method for the incompressible NavierStokes equations in general coordinates. Domain decomposition techniques are needed if we want to solve ows in complex geometries. The discretization is performed by a nite volume method combined with a staggered grid arrangement. The domain decomposition technique is of Schwarz type combined with a GMRES accelerat...

In this paper, we present an unsplit method for the time-dependent compressible Navier-Stokes equations in two and three dimensions. We use a a conservative, second-order Godunov algorithm. We use a Cartesian grid, embedded boundary method to resolve complex boundaries. We solve for viscous and conductive terms with a second-order semiimplicit algorithm. We demonstrate second-order accuracy in ...

Spatial data in CAD/CAM and geographic information systems involve arbitrarily-shaped 2and 3-dimensional geometries. Queries on such complex geometry data involve identification of data geometries that interact with a specified query geometry. Since geometry-geometry comparisons are expensive due to the large sizes of the data geometries, spatial engines avoid unnecessary comparisons by first c...

Device geometries in technology computer-aided design processes are often generated using parametric solid modeling computeraided design tools. However, geometries generated with these tools often lack geometric properties, like being intersection-free, which are required for volumetric mesh generation as well as discretization methods. Contributing to this problem is the fact, that device geom...

A D explicit nite volume algorithm has been developed to simulate scattering from complex geometries on parallel computers using structured body conformal curvilinear grids Most simulations with realistic D ge ometries require a large number of grid points for adequate spatial resolution making them suitable to parallel computation The simulations have been carried out using a multi block zonal...

We describe the development and implementation of an efficient spectral element code for simulating transitional flows in complex three-dimensional domains. Critical to this effort is the use of geometrically nonconforming elements that allow localized refinement in regions of interest, coupled with a stabilized high-order time-split formulation of the semi-discrete Navier–Stokes equations. Sim...

This dissertation is concerned with the dynamics of a long DNA molecule in complex geometries, driven by either electrostatic field or flow field. This is accomplished primarily through the use of Brownian dynamics simulation, which captures the essential physics at mesoscopic length scale, and allows us to simulate events happening on long time scale, such as DNA pore translocation and cyclic ...