基于时域误差限的大规模系统自适应模型降阶

为满足解大规模动态系统常微分方程组对精度和速度权衡的要求,提出了一种基于误差限的大规模系统自适应模型降阶方法,其中方法的误差分析基于时域最大误差限,降阶方法基于SVD-Krylov子空间的方法.方法既考虑了算法的复杂性,又保证了算法的精度.通过对典型实例分析,结果表明该方法在给定相对误差限10~(-4)下得出的降阶阶数在不同频率下都能给出很好的近似精度,低频1~10Hz平均相对误差为1.1812×10~(-5),高频1~10GHz平均相对误差为5.6408×10~(-5),即在很宽的频率范围内都能满足精度要求.     

A refined r‐factor algorithm for TVD schemes on arbitrary unstructured meshes

A refined r‐factor algorithm for implementing total variation diminishing (TVD) schemes on arbitrary unstructured meshes, referred to henceforth as a face‐perpendicular far‐upwind interpolation scheme for arbitrary meshes (FFISAM), is proposed based on an extensive review of the existing r‐factor algorithms available in the literature. The design principles, as well as the respective advantages and disadvantages, of the existing algorithms are first systematically analyzed before presenting the FFISAM. The FFISAM is designed to combine the merits of various existing r‐factor algorithms. The performance of the FFISAM, implemented in 10 classical TVD schemes, is evaluated against four two‐dimensional pure‐advection benchmark test cases where analytical solutions are available. The numerical results clearly show that the FFISAM leads to a better overall performance than the existing algorithms in terms of accuracy and convergence on arbitrary unstructured meshes for the 10 classical TVD schemes. Copyright © 2015 John Wiley & Sons, Ltd.     

An augmented Lagrangian approach to simulating yield stress fluid flows around a spherical gas bubble

We simulated the flow of a yield stress fluid around a gas bubble using an augmented Lagrange approach. The piecewise linear equal‐order finite elements for both the velocity and the pressure approximations proposed and analyzed by Latché and Vola in 2004 were applied. A mesh adaptive strategy based on this element‐pair choice was also proposed to render the yield surfaces of desired resolution. The corresponding numerical scheme was formulated for general Herschel–Bulkley fluids. Numerical results on Bingham fluid flows around a slowly rising spherical gas bubble were provided to validate the proposed algorithm. Copyright © 2011 John Wiley & Sons, Ltd.     

Simulation of bluff body stabilized flows with hybrid RANS and PDF method

The motivation of this study is to investigate the turbulence–chemistry interactions by using probability density function (PDF) method. A consistent hybrid Reynolds Averaged Navier–Stokes (RANS)/PDF method is used to simulate the turbulent non-reacting and reacting flows. The joint fluctuating velocity–frequency–composition PDF equation coupled with the Reynolds averaged density, momentum and energy equations are solved on unstructured meshes by the Lagrangian Monte Carlo (MC) method combined with the finite volume (FV) method. The simulation of the axisymmetric bluff body stabilized non-reacting flow fields is presented in this paper. The calculated length of the recirculation zone is in good agreement with the experimental data. Moreover, the significant change of the flow pattern with the increase of the jet-to-coflow momentum flux ratio is well predicted. In addition, comparisons are made between the joint PDF model and two different Reynolds stress models. The project supported by the National Natural Science Foundation of China (50506028), and Action Scheme for Invigorating Education Towards the twenty-first century.     

MIMU/GPS组合导航系统数据同步与融合方法研究

给出了以DSP为核心的MIMU/GPS组合导航系统中数据同步与融合的方法,简要介绍了仿真、调试过程中DSP程序的实现方法。采用GPS接收机输出的1PPS脉冲,结合CPLD产生的时序,实现MIMU和GPS数据的同步采集。由于系统噪声难于准确统计,因此采用模糊自适应卡尔曼滤波组合算法进行数据融合。     

非结构隐式LU-SGS方法在空心弹丸流场数值模拟中的应用

采用非结构网格的LU-SGS隐式算法计算三维Euler方程，数值模拟了不同 马赫数以及不同攻角下某空心弹丸绕流流场，分析了流场的波系结构及其升阻力特性，计算 结果表明空心弹丸的阻力系数比同口径的普通弹丸的阻力系数大约小30{\%}，空心弹丸的 阻力系数以及升力系数随攻角的变化规律与普通弹丸一致.     

LS-SVM在随机振动在线自适应逆控制中的应用

针对随机振动试验中波形再现实现中的非线性和不确定性的特点,提出了一种基于最小二乘支持向量机的自适应逆控制方法.首先根据试验样本数据利用模糊贝叶斯推断确定最小二乘支持向量机的参数,然后给出了基于最小二乘支持向量机的自适应逆控制器的设计方法,最后给出了随机振动在线自适应逆控制结构.实验结果表明该方法的有效性.     

小波多尺度分析在重力仪数据处理中的应用研究

为了有效地消除重力异常畸变对重力仪测量数据的影响，得到更高精度的重力异常测量值，在分析小波多尺度分析原理的基础上，首次将其应用到重力仪数据处理中，并与自适应卡尔曼滤波进行了对比分析，以实际数据与处理后数据偏差平方和的平均数作为衡量两种数据处理方法性能的指标。理论分析和仿真实验表明：小波多尺度分析和自适应卡尔曼滤波都能在一定程度上抑制重力异常畸变对重力仪测量数据的影响，但小波多尺度分析的性能优于自适应卡尔曼滤波。     

渐消卡尔曼滤波器的最佳自适应算法及其在陀螺随机常值漂移标定中的应用

本文依据卡尔曼滤波器在使用最佳增益时，其余差序列互不相关的性质，开发了一种新的渐消滤波算法。该算法根据对象输出，在线自适应地调整遗忘因子，从而使滤波器在对象模型存在误差或对象受到外扰时，仍收敛并保持最佳性。该算法应用于陀螺随机常值漂移的标定，取得较好效果     

改进的Z~2应力恢复过程与h型自适应有限元分析

建议了一种较为精确的边界应力求解方法，并用于改进Ｚｉｅｎｋｉｅｗｉｃｚ－Ｚｈｕ（Ｚ２）应力恢复过程。改进过程增加的计算量不大，但可有效地改善后验误差估计精度。ｈ型自适应有限元分析结果表明，改进过程更有利于最优网格寻求工作