The main aim of this paper is to investigate the exponential stability of the Euler method for a stochastic age-dependent population equations with Poisson random measures. It is proved that the Euler scheme is exponentially stable in mean square sense. An example is given for illustration. Keywords—Stochastic age-dependent population equations, Poisson random measures, Numerical solutions, Exp...

Numerical simulations of complex large-scale flow systems must capture a variety of physical phenomena in order to predict the flow accurately. Currently, many flow solvers are specialized to simulate one part of a flow system effectively, but are either inadequate or too expensive to be applied to a generic problem. As an example, the flow through a gas turbine can be considered. In the compre...

For the manufacturing of composite materials with textile reinforcement, the permeability of the textile is a key characteristic. Using the law of Darcy, permeability can be derived from a numerical simulation of the fluid flow, i.e. by solving the Navier-Stokes or Brinkman equations. In this report we present the results of simulations with two different flow solvers: a finite difference Navie...

The main aim of this paper is to investigate the exponential stability of the Euler method for a stochastic age-dependent population equations with Poisson random measures. It is proved that the Euler scheme is exponentially stable in mean square sense. An example is given for illustration. Keywords—Stochastic age-dependent population equations, Poisson random measures, Numerical solutions, Exp...

We numerically investigate the pulsatile flow and heat transfer of a micropolar fluid through a Darcy-Forchhmeir porous channel in the presence of wall transpiration. We use the central difference approximations for the spatial derivatives, whereas the time integration has been performed by employing the three steps explicit Runge-Kutta method to obtain the numerical solution. It i...

An efficient and flexible parallel version of a Large-Eddy Simulation (LES) solver has been developed to simulate the compressible tip-flow of a rotor in hover. The solver employs an immersed-boundary technique in conjunction with a curvilinear structured grid and the dynamic model is used to model the subgrid scale (SGS) stress terms. The solver also employs a hybrid implicit-explicit time-dis...

Darcy flow is a steady-state model for laminar flow of a fluid through a porous medium. The present work proposes an extended model of laminar Darcy flow by introducing dynamic pressure and velocity to the classical formulation. The solution of the proposed time-space model is attained by discretizing the problem with a stabilized mixed Galerkin method in space and a forward Euler method in tim...

Abstract This paper reports the development of a numerical solver aimed to simulate interaction between space charge (i.e. ions) distribution and electric field in liquid argon time projection chamber (LArTPC) detectors. The ion transport equation is solved by time-accurate, cell-centered finite volume method potential continuous element method. updates which provides drift velocity equation. d...

Real-time systems are frequently used as an experimental tool, whereby simulated models interact in real time with neurophysiological experiments. The most demanding of these techniques is known as the dynamic clamp, where simulated ion channel conductances are artificially injected into a neuron via intracellular electrodes for measurement and stimulation. Methodologies for implementing the nu...

A numerical method for modeling time-dependent viscoelastic uid ow, Abstract A numerical method to solve a system of partial diierential equations (PDE), modeling time-dependent viscoelastic uid ow, is developed. The Upper Con-vected Maxwell (UCM) model, and the related Oldroyd-B and Giesekus models are used as constitutive equations, and a linear equation of state allows the uid to be slightly...