Simulations of the weibel instability with a high-order discontinuous galerkin particle-in-cell solver
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The main goal of this paper is to propose a convergent finite volume method for a reaction–diffusion system with cross-diffusion. First, we sketch an existence proof for a class of cross-diffusion systems. Then the standard two-point finite volume fluxes a ...
This paper presents a microfabricated impedance spectroscopy flow cytometer which permits rapid and easy dielectric characterization of cells as they flow in a microchannel. Both a simple theoretical model and a finite element simulation show that the effe ...
This paper presents a Lagrangian approach for the simulation of two-dimensional free-surface flows along with a systematic validation. Fluid-flow is traditionally modeled using an Eulerian description in association with finite differences and, more recent ...
Diffractive optical elements comprising sub-wavelength aperiodic surface reliefs of finite length require the use of rigorous solvers for Maxwell's equations. We present a detailed analysis of Focusing Grating Couplers (FGC's) using a recently introduced 2 ...
Accuracy is critical if we are to trust simulation predictions. In settings such as fluid- structure interaction it is all the more important to obtain reliable results to understand, for example, the impact of pathologies on blood flows in the cardiovascula ...
The present report addresses the rigorous study of convergence of a stabilized finite volume element method applied to stationary and time dependent Stokes problems. Some preliminary results about the existence and uniqueness of solution at continuous and ...
Standard continuous Galerkin-based finite element methods have poor stability properties when applied to transport-dominated flow problems, so excessive numerical stabilization is needed. In contrast, the Discontinuous Galerkin method is known to have good ...
In this paper the effects of the magnetic self-field on the transport properties of a multi-layer high-Tc superconducting (HTS) cable are investigated by means of 2D finite element method (FEM) simulations. Analyzed is a 3-layer HTS cable, but the develope ...
We describe a multiscale finite element (FE) solver for elliptic or parabolic problems with highly oscillating coefficients. Based on recent developments of the so-called heterogeneous multiscale method (HMM), the algorithm relies on coupled macro- and mic ...
In this work we use the Smoothed Particle Hydrodynamics methodology (SPH) to simulate incompressible viscous flows of Newtonian fluids. The SPH is a meshfree Lagrangian method which simulates the flow like a set of moving fluid particles that interact one ...