基于非结构网格间断有限元方法在可压缩流体中的应用

本文开发了一套基于非结构网格的间断有限元方法(DG)程序,并对与单元形状无关的斜率限制器进行了研究。此程序支持多种网格类型,能够方便应用于具有混合单元的非结构网格,具有处理复杂几何结构的能力,为研究叶轮机械内部复杂流动现象提供了有效的研究工具。本文利用该程序对若干典型无黏和黏性问题进行数值模拟,结果表明,该程序具有较高的可信度,能够处理具有混合单元的非结构网格,并给出良好的数值模拟结果。     

非结构网格边粘性公式

利用Kuropatenko提出的人为粘性形式和Christiansen建议的TVD(Total Variation Diminishing)输运限制子构造非结构网格边粘性,用最大角原则选择邻边构造限制子,研制包括边粘性的相容流体程序,给出边粘性与体粘性数值模拟比较,对Saltzman活塞问题、Noh问题进行数值实验.数值实验结果比较说明,非结构网格边粘性准确检出强速度梯度不存在的情形,减弱人为粘性力的作用,有效捕捉流体的激波间断,提高模拟精度.     

Solution property preserving reconstruction for finite volume scheme: a boundary variation diminishing+multidimensional optimal order detection framework

The purpose of this work is to build a general framework to reconstruct the underlying fields within a finite volume (FV) scheme solving a hyperbolic system of PDEs (Partial Differential Equations). In an FV context, the data are piecewise constants per computational cell and the physical fields are reconstructed taking into account neighbor cell values. These reconstructions are further used to evaluate the physical states usually used to feed a Riemann solver which computes the associated numerical fluxes. The physical field reconstructions must obey some properties linked to the system of PDEs such as the positivity, but also some numerically based ones, like an essentially nonoscillatory behavior. Moreover, the reconstructions should be highly accurate for smooth flows and robust/stable for discontinuous solutions. To ensure a solution property preserving reconstruction, we introduce a methodology to blend high-/low-order polynomials and hyperbolic tangent reconstructions. A boundary variation diminishing algorithm is employed to select the best reconstruction in each cell. An a posteriori MOOD detection procedure is employed to ensure the positivity by recomputing the rare problematic cells using a robust first-order FV scheme. We illustrate the performance of the proposed scheme via the numerical simulations for some benchmark tests which involve vacuum or near vacuum states, strong discontinuities, and also smooth flows. The proposed scheme maintains high accuracy on smooth profile, preserves the positivity and can eliminate the oscillations in the vicinity of discontinuities while maintaining sharper discontinuity with superior solution quality compared to classical highly accurate FV schemes.     

三相电抗器型高温超导限流器的阻抗与动态仿真

三相电抗器型超导故障限流器(SCFCL)由三个同匝数的超导绕组绕在单一铁芯上组成，正常工作时阻抗为零，接地短路时，相当于串联了一个大电感，若发生三相或两相短路，其电阻突然增大；本分析了它在各种运行状态下其铁芯内的磁通变化，推导出了相应的阻抗公式；设计了一个小型样机，并对该样机的进行了动态仿真，其结果与理论分析一致．     

HL—1装置等离子体粒子平衡的光谱研究

本文描述HL-1装置器壁碳化,观察了碳化前后氢的约束时间和再循环现象,同时还观察了加抽气孔栏条件下粒子约束时间和再循环的变化。实验表明,碳化后氢的再循环增大,使用抽气孔栏可以控制壁附近边缘等离子体的粒子密度,粒子约束时间比不用抽气孔栏增大17.7％,再循环系数减小13.2％。     

A limiter-based well-balanced discontinuous Galerkin method for shallow-water flows with wetting and drying: Triangular grids

A novel wetting and drying treatment for second-order Runge-Kutta discontinuous Galerkin methods solving the nonlinear shallow-water equations is proposed. It is developed for general conforming two-dimensional triangular meshes and utilizes a slope limiting strategy to accurately model inundation. The method features a nondestructive limiter, which concurrently meets the requirements for linear stability and wetting and drying. It further combines existing approaches for positivity preservation and well balancing with an innovative velocity-based limiting of the momentum. This limiting controls spurious velocities in the vicinity of the wet/dry interface. It leads to a computationally stable and robust scheme, even on unstructured grids, and allows for large time steps in combination with explicit time integrators. The scheme comprises only one free parameter, to which it is not sensitive in terms of stability. A number of numerical test cases, ranging from analytical tests to near-realistic laboratory benchmarks, demonstrate the performance of the method for inundation applications. In particular, superlinear convergence, mass conservation, well balancedness, and stability are verified.     

PIN限幅器的高功率微波单脉冲效应研究

基于PIN限幅器的等效电路模型,构建了PIN限幅器HPM效应ADS等效电路仿真模型,利用HPM注入实验和等效电路仿真相结合的方法,研究了单个微波脉冲作用下PIN限幅器的响应规律,获取了HPM作用结束后限幅器限幅持续时间与注入脉冲功率、脉宽的对应关系,并对限幅器的限幅持续过程进行了分析。仿真与实验结果表明:PIN限幅器限幅持续时间随着微波脉冲功率和脉宽的增大而变大,实验和仿真结果趋势一致,该研究使用的ADS等效电路模型可以应用于PIN限幅器的高功率微波瞬态响应特性分析研究。     

A comparative study of TVD‐limiters—well‐known limiters and an introduction of new ones

This paper gives a comparative study of TVD‐limiters for standard explicit Finite Volume schemes. In contrast to older studies, it includes also unsymmetrical limiter functions that depend on the local CFL‐number. We classify the limiters and show how to extend these families of limiters. We introduce a new member of the Superbee family, which is adapted to Roe's linear third‐order scheme. Based on an idea by Serna and Marquina, new smooth limiters are introduced, which turn the van Leer and van Albada limiters into complete classes of limiters. The comparison of the limiters is done with some standard test cases. The results clarify the influence of the chosen limiter on the quality of the numerical results. Compared with ENO or WENO schemes, they also show the high resolution, which can be obtained by a CFL‐number‐dependent limiter when the grid is not highly refined. Copyright © 2010 John Wiley & Sons, Ltd.     

PIN限幅器PSpice模拟与实验研究

 从PIN二极管基区双极载流子扩散方程出发，通过拉普拉斯变换求解得到PIN二极管子电路模型，从而通过PSpice软件瞬态数值模拟得到了PIN限幅器的尖峰泄漏、平顶泄漏与脉冲功率、上升时间关系。对于I层厚度一定的限幅器，模拟与实验表明脉冲前沿越大，尖峰泄漏功率插入损耗越大，脉冲前沿过缓则可能没有尖峰泄漏现象；尖峰泄漏功率随着输入功率的增加而变大，但尖峰泄漏功率插损也随之增大；尖峰脉冲宽度与I层厚度、输入功率及脉冲前沿均有关系。限幅器尖峰泄漏与平顶泄漏模拟结果与实验数据基本一致。     

基于反饱和吸收和自聚焦两种效应的光限幅器

用酞菁铜金属有机染料首次演示了基于反饱和吸收和自聚焦两种效应的光限幅器．实验和理论分析表明，这种限幅器的输入阈值功率由反饱和吸收决定，而自聚焦使限幅器的最大限幅输出功率降低，限幅效果显著增强．