436 research outputs found
Multiphysics simulation of corona discharge induced ionic wind
Ionic wind devices or electrostatic fluid accelerators are becoming of
increasing interest as tools for thermal management, in particular for
semiconductor devices. In this work, we present a numerical model for
predicting the performance of such devices, whose main benefit is the ability
to accurately predict the amount of charge injected at the corona electrode.
Our multiphysics numerical model consists of a highly nonlinear strongly
coupled set of PDEs including the Navier-Stokes equations for fluid flow,
Poisson's equation for electrostatic potential, charge continuity and heat
transfer equations. To solve this system we employ a staggered solution
algorithm that generalizes Gummel's algorithm for charge transport in
semiconductors. Predictions of our simulations are validated by comparison with
experimental measurements and are shown to closely match. Finally, our
simulation tool is used to estimate the effectiveness of the design of an
electrohydrodynamic cooling apparatus for power electronics applications.Comment: 24 pages, 17 figure
Vibration control in plates by uniformly distributed PZT actuators interconnected via electric networks
In this paper a novel device aimed at controlling the mechanical vibrations
of plates by means of a set of electrically-interconnected piezoelectric
actuators is described. The actuators are embedded uniformly in the plate
wherein they connect every node of an electric network to ground, thus playing
the two-fold role of capacitive element in the electric network and of couple
suppliers. A mathematical model is introduced to describe the propagation of
electro-mechanical waves in the device; its validity is restricted to the case
of wave-forms with wave-length greater than the dimension of the piezoelectric
actuators used. A self-resonance criterion is established which assures the
possibility of electro-mechanical energy exchange. Finally the problem of
vibration control in simply supported and clamped plates is addressed; the
optimal net-impedance is determined. The results indicate that the proposed
device can improve the performances of piezoelectric actuationComment: 22 page
Analytical and Numerical Study of Photocurrent Transients in Organic Polymer Solar Cells
This article is an attempt to provide a self consistent picture, including
existence analysis and numerical solution algorithms, of the mathematical
problems arising from modeling photocurrent transients in Organic-polymer Solar
Cells (OSCs). The mathematical model for OSCs consists of a system of nonlinear
diffusion-reaction partial differential equations (PDEs) with electrostatic
convection, coupled to a kinetic ordinary differential equation (ODE). We
propose a suitable reformulation of the model that allows us to prove the
existence of a solution in both stationary and transient conditions and to
better highlight the role of exciton dynamics in determining the device turn-on
time. For the numerical treatment of the problem, we carry out a temporal
semi-discretization using an implicit adaptive method, and the resulting
sequence of differential subproblems is linearized using the Newton-Raphson
method with inexact evaluation of the Jacobian. Then, we use exponentially
fitted finite elements for the spatial discretization, and we carry out a
thorough validation of the computational model by extensively investigating the
impact of the model parameters on photocurrent transient times.Comment: 20 pages, 11 figure
Holographic Plasmons
Since holography yields exact results, even in situations where perturbation
theory is not applicable, it is an ideal framework for modeling strongly
correlated systems. We extend previous holographic methods to take the
dynamical charge response into account and use this to perform the first
holographic computation of the dispersion relation for plasmons. As the
dynamical charge response of strange metals can be measured using the new
technique of momentum-resolved electron energy-loss spectroscopy (M-EELS),
plasmon properties are the next milestone in verifying predictions from
holographic models of new states of matter.Comment: 12 pages, 2 figures. v2: Minor changes v3: Minor adjustments v4:
Published versio
Intertwined Orders in Holography: Pair and Charge Density Waves
Building on [1], we examine a holographic model in which a U(1) symmetry and
translational invariance are broken spontaneously at the same time. The
symmetry breaking is realized through the St\"{u}ckelberg mechanism, and leads
to a scalar condensate and a charge density which are spatially modulated and
exhibit unidirectional stripe order. Depending on the choice of parameters, the
oscillations of the scalar condensate can average out to zero, with a frequency
which is half of that of the charge density. In this case the system realizes
some of the key features of pair density wave order. The model also admits a
phase with co-existing superconducting and charge density wave orders, in which
the scalar condensate has a uniform component. In our construction the various
orders are intertwined with each other and have a common origin. The fully
backreacted geometry is computed numerically, including for the case in which
the theory contains axions. The latter can be added to explicitly break
translational symmetry and mimic lattice-type effects.Comment: 37 pages, 17 figure
Solution Map Analysis of a Multiscale Drift-Diffusion Model for Organic Solar Cells
In this article we address the theoretical study of a multiscale
drift-diffusion (DD) model for the description of photoconversion mechanisms in
organic solar cells. The multiscale nature of the formulation is based on the
co-presence of light absorption, conversion and diffusion phenomena that occur
in the three-dimensional material bulk, of charge photoconversion phenomena
that occur at the two-dimensional material interface separating acceptor and
donor material phases, and of charge separation and subsequent charge transport
in each three-dimensional material phase to device terminals that are driven by
drift and diffusion electrical forces. The model accounts for the nonlinear
interaction among four species: excitons, polarons, electrons and holes, and
allows to quantitatively predict the electrical current collected at the device
contacts of the cell. Existence and uniqueness of weak solutions of the DD
system, as well as nonnegativity of all species concentrations, are proved in
the stationary regime via a solution map that is a variant of the Gummel
iteration commonly used in the treatment of the DD model for inorganic
semiconductors. The results are established upon assuming suitable restrictions
on the data and some regularity property on the mixed boundary value problem
for the Poisson equation. The theoretical conclusions are numerically validated
on the simulation of three-dimensional problems characterized by realistic
values of the physical parameters
Stability of two-dimensional forced Navier-Stokes flow on a bounded circular domain
This research is concerned with the stability of a two-dimensional, electromagnetically forced, zonal flow on a circular domain. Flows like these are found in nature (e.g. shear flow in the atmosphere, Jovian disk) and experiment (e.g. plasma flow in a Fusion reactor) and a requirement for experiments is often that these types of flows remain stable and axi-symmetric. A numerical method is developed based on a spectral expansion into an infinite system of ordinary differential equations for velocity functions resulting from a Stokes eigenvalue problem. The system is truncated to gain a finite-dimensional system which is useful for computations of both equilibrium flows and strongly disturbed flows. Numerical results are compared to both finite difference method results and analytical results for the equilibrium basic flow. Both linear and nonlinear stability are explored for the Navier-Stokes equations on the circular domain and for the system of ordinary differential equations. Differences in stability and the evolution of perturbations are explained on the basis of discrepancies between infinite-dimensional partial differential equations like the Navier-Stokes equations and a finite-dimensional system of ordinary differential equations resulting from a Galerkin truncation. On the basis of both stability analyses a control system is developed which stabilizes the system of ordinary differential equations to stay in a desired equilibrium. It is argued that this control system is also usable for the control of the Navier-Stokes equations. This research is concerned with the stability of a two-dimensional, electromagnetically forced, zonal flow on a circular domain. Flows like these are found in nature (e.g. shear flow in the atmosphere, Jovian disk) and experiment (e.g. plasma flow in a Fusion reactor) and a requirement for experiments is often that these types of flows remain stable and axi-symmetric. A numerical method is developed based on a spectral expansion into an infinite system of ordinary differential equations for velocity functions resulting from a Stokes eigenvalue problem. The system is truncated to gain a finite-dimensional system which is useful for computations of both equilibrium flows and strongly disturbed flows. Numerical results are compared to both finite difference method results and analytical results for the equilibrium basic flow. Both linear and nonlinear stability are explored for the Navier-Stokes equations on the circular domain and for the system of ordinary differential equations. Differences in stability and the evolution of perturbations are explained on the basis of discrepancies between infinite-dimensional partial differential equations like the Navier-Stokes equations and a finite-dimensional system of ordinary differential equations resulting from a Galerkin truncation. On the basis of both stability analyses a control system is developed which stabilizes the system of ordinary differential equations to stay in a desired equilibrium. It is argued that this control system is also usable for the control of the Navier-Stokes equations
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