Toward efficient parameter sweeping and optimisation of fluid performance models by Taylor-model based symbolic numerical integration
نویسندگان
چکیده
Fluid-approximation or mean-field techniques are currently very popular approaches to the efficient analysis of massivelyparallel Markov models. In this paper, we exploit the ODE-representation of these approximations to develop efficient techniques for simultaneous partially-symbolic numerical integration over parameter ranges. In particular, we borrow the Taylor model data structure of Makino and Berz [14] from the field of verified numerical integration. We use this to compute, in an efficient manner, tight bounds on the range of the ODE solutions over time with parameters lying in large intervals. This has applications to fast parameter sweeping, sensitivity analysis and global optimisation of model parameters in perfomance models amenable to fluid approximation.
منابع مشابه
Effect of Elasticity Parameter on Viscoelastic Fluid in Pipe Flow Using Extended Pom-Pom Model
In this study prediction of the steady-state flow of branched polymer melts in pipe geometry with finite volume method is presented. Our analysis in this study revealed that;for normal-stress tqq , the XPP model can predict this tensor unlike the other viscoelastic models such as PTT or Gieskus which can not predict tqq...
متن کاملNumerical Simulation of Micropolar Flow in a Channel under Osciatory Pressure Gradient
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...
متن کاملNumerical solution for the risk of transmission of some novel coronavirus (2019-nCov) models by the Newton-Taylor polynomial solutions
In this paper we consider two type of mathematical models for the novel coronavirus (2019-nCov), which are in the form of a nonlinear differential equations system. In the first model the contact rate, , and transition rate of symptomatic infected indeviduals to the quarantined infected class, , are constant. And in the second model these quantities are time dependent. These models are the...
متن کاملEmergency department resource optimisation for improved performance: a review
Emergency departments (EDs) have been becoming increasingly congested due to the combined impacts of growing demand, access block and increased clinical capability of the EDs. This congestion has known to have adverse impacts on the performance of the healthcare services. Attempts to overcome with this challenge have focussed largely on the demand management and the application of system wide p...
متن کاملNumerical Simulation and Parametric Reduced Order Modeling of the Natural Convection of Water-Copper Nanofluid
In this article, a coupled computational framework is presented for the numerical simulation of mass transfer under the effects of natural convection phenomena in a field contains water-copper Nano-fluid. This CFD model is build up based on accurate algorithms for spatial derivatives and time integration. The spatial derivatives have been calculated using first order upwind and second order cen...
متن کامل