Target Controllability of Multi-Layer Networks With High-Dimensional

This paper studies the target controllability of multilayer complex networked systems,in which the nodes are highdimensional linear time invariant(LTI)dynamical systems,and the network topology is directed and weighted.The influence of inter-layer couplings on the target controllability of multi-layer networks is discussed.It is found that even if there exists a layer which is not target controllable,the entire multi-layer network can still be target controllable due to the inter-layer couplings.For the multi-layer networks with general structure,a necessary and sufficient condition for target controllability is given by establishing the relationship between uncontrollable subspace and output matrix.By the derived condition,it can be found that the system may be target controllable even if it is not state controllable.On this basis,two corollaries are derived,which clarify the relationship between target controllability,state controllability and output controllability.For the multi-layer networks where the inter-layer couplings are directed chains and directed stars,sufficient conditions for target controllability of networked systems are given,respectively.These conditions are easier to verify than the classic criterion.

Multi-dimensional Simulation of Phase Change by a 0D-2D Model Coupling via Stefan Condition

Considering phase changes associated with a high-temperature molten material cooled down from the outside,this work presents an improvement of the modelling and the numerical simulation of such processes for an application pertaining to the safety of light water nuclear reactors.Postulating a core meltdown accident,the behaviour of the core melt(aka corium)into a steel vessel is of tremendous importance when evaluating the vessel integrity.Evaluating correctly the heat fluxes requires the numerical simulation of the interaction between the liquid material and its solid counterpart which forms during the solidification process,but also may melt back.To simulate this configuration,encoun-tered in various industrial applications,one considers a bi-phase model constituted by a liquid phase in contact and interaction with its solid phase.The liquid phase may solidify in presence of low energetic source,while the solid phase may melt due to an intense heat flux from the high-temperature liquid.In the frame of the in-house legacy code,several simplifying assumptions(0D multi-layer discretization,instantaneous heat transfer via a quadratic temperature profile in solids)are made for the modelling of such phase changes.In the present work,these shortcomings are illustrated and further overcome by solving a 2D heat conduction model in the solid by a mixed Raviart-Thomas finite element method coupled to the liquid phase due to heat and mass exchanges through Stefan condition.The liquid phase is modeled with a 0D multi-layer approach.The 0D-liquid and 2D-solid mod-els are coupled by a Stefan like phase change interface model.Several sanity checks are performed to assess the validity of the approach on 1D and 2D academical configurations for which exact or reference solutions are available.Then more advanced situations(genu-ine multi-dimensional phase changes and an"industrial-like scenario")are simulated to verify the appropriate behavior of the obtained coupled simulation scheme.

火星沙尘暴及其与大气波动的相互作用

火星上的气候跟地球有着重要的相似之处,两者的比较研究对于我们更好地了解地球大气历史和未来的演化具有重要意义.火星地表和大气中的沙尘及沙循环是火星气候系统中极为重要的一环,而沙尘暴是火星沙循环中最重要的动力学过程.基于已有的火星沙尘暴和大气波动的研究结果,我们对火星沙尘暴的发生时间和空间尺度以及季节演化进行了归纳;并对火星大气潮汐和行星波的研究进行了总结,分析其对沙尘暴的响应特征,以及大气波动的动力学效应对沙尘暴传播和沙尘空间分布的调制作用;最后,结合其耦合作用对两者未来的发展进行了展望.

火星全大气模式与沙尘活动模拟研究:回顾与展望

基于火星全大气模式的数值模拟研究有助于深入理解火星陆面-大气-空间环境多圈层相互耦合过程,是当今国际研究热点.模式对整个火星大气区域气象要素的描述亦可作为保障火星探测活动顺利开展的重要参考依据.沙尘活动显著影响着火星气候与天气变化,也对火星表面探测器可造成巨大安全威胁.对沙尘活动及其影响完善的模拟是目前全大气模式开发与研究工作中的重点之一.本文回顾了火星全大气模式的发展历程,概述了其构建方法,总结了相关科研成果,多角度论述了自主发展火星全大气模式的重要科研与工程价值,建议以火星沙尘活动为重点研究方向,牵引我国火星全大气模式的自主研发.模式的开发与应用涉及行星科学、空间科学、大气科学、计算机科学多领域协同合作.其开发过程势必带动我国行星科学全面发展,为相关研究领域积累经验、储备人才.