|
|
| |
| 非平稳三向湍流随机风场的高效降维模拟 |
| Efficient numerical simulation method for non-stationary three-dimensional turbulent stochastic wind fields |
| 投稿时间：2025-04-07 修订日期：2025-05-24 |
| DOI： |
| 中文关键词: 三向湍流随机风场 非平稳非均匀 随机正交函数 POD-FFT技术 高效降维模拟 |
| 英文关键词:Three directional turbulent stochastic wind field Non-stationary and non-uniform Random orthogonal function POD-FFT technology Efficient numerical simulation |
| 基金项目:新疆自治区“天池英才”引进计划-青年博士人才项目（2025QNBS007） |
|
| 摘要点击次数: 14 |
| 全文下载次数: 0 |
| 中文摘要: |
| 同时考虑大气运动的非平稳性、非均匀性、随机性、以及湍流等特性，提出了一种非平稳三向湍流随机风场的高效降维模拟方法。首先基于单点的横向湍流分量与纵向、竖向湍流分量均不相关的风场假设，将脉动风分离为1D-2nV和1D-nV两个非平稳随机向量过程。第一个过程表达为DPOD或POD-SRM，第二个过程表达为POD或SRM。在此基础上，建立了四种分离-混合（SEP-H）全概率模型。进一步，将SEP-H模型中的正交随机变量表示为随机正交函数的形式，结合数论方法（NTM）来优选基本随机变量的代表性点集。进一步，利用POD嵌入式FFT（POD-FFT）技术提升SEP-H模型的计算效率。最后，以大跨桥梁结构（水平风场）和高耸输电铁塔结构（竖向风场）为工程背景，验证了所提模型的有效性。 |
| 英文摘要: |
| A highly efficient dimension-reduction simulation method for non-stationary three-dimensional turbulent stochastic wind fields is proposed, taking into account key characteristics of atmospheric motion such as non-stationary, non-uniformity, randomness, and turbulence.?Firstly, based on the assumption that the lateral turbulence component at a single point is uncorrelated with the longitudinal and vertical components, the fluctuating wind field is decomposed into two non-stationary random vector processes: 1D-2nV and 1D-nV. The former is represented by either DPOD or POD-SRM, whereas the latter employs POD or SRM individually. Subsequently, four separation-mixing (SEP-H) full-probability models are proposed based on this framework. Furthermore, the orthogonal random variables in the SEP-H model are expressed as random orthogonal functions, and number theory methods (NTM) are employed to select representative point sets for the basic random variables. Additionally, POD-embedded FFT (POD-FFT) technology is utilized to enhance the computational efficiency of the SEP-H model. Finally, the effectiveness of the proposed model is validated using engineering case studies: large-span bridge (horizontal wind field) and high-rise transmission tower (vertical wind field). |
| 查看/发表评论 下载PDF阅读器 |
