Computational modelling of multi-material energetic materials and systems

ABSTRACT

In this paper, we present a systematic roadmap for developing a robust and parallel multi-material reactive hydrodynamic solver that integrates historically stable algorithms with new and current modern methods to solve explosive system design problems. The Ghost Fluid Method and Riemann solvers were used to enforce appropriate interface boundary conditions. Improved performance in terms of computational work and convergence properties was achieved by modifying a local node sorting strategy that decouples ghost nodes, allowing us to set material boundary conditions via an explicit procedure, removing the need to solve a coupled system of equations numerically. The locality and explicit nature of the node sorting concept allows for greater levels of parallelism and lower computational cost when populating ghost nodes. Non-linear numerical issues endemic to the use of real Equations of State in hydro-codes were resolved by using more thermodynamically consistent forms allowing us to accurately resolve large density gradients associated with high energy detonation problems at material interfaces. Pre-computed volume tables were implemented adding to the robustness of the solver base.     

Adaptive Neuro-Fuzzy Inference System and a Multilayer Perceptron Model Trained with Grey Wolf Optimizer for Predicting Solar Diffuse Fraction

The accurate prediction of the solar diffuse fraction (DF), sometimes called the diffuse ratio, is an important topic for solar energy research. In the present study, the current state of Diffuse irradiance research is discussed and then three robust, machine learning (ML) models are examined using a large dataset (almost eight years) of hourly readings from Almeria, Spain. The ML models used herein, are a hybrid adaptive network-based fuzzy inference system (ANFIS), a single multi-layer perceptron (MLP) and a hybrid multi-layer perceptron grey wolf optimizer (MLP-GWO). These models were evaluated for their predictive precision, using various solar and DF irradiance data, from Spain. The results were then evaluated using frequently used evaluation criteria, the mean absolute error (MAE), mean error (ME) and the root mean square error (RMSE). The results showed that the MLP-GWO model, followed by the ANFIS model, provided a higher performance in both the training and the testing procedures.     

Higher‐Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions

We first review the Coset Space Dimensional Reduction (CSDR) programme and present the best model constructed so far based on the , 10‐dimensional E₈ gauge theory reduced over the nearly‐Kähler manifold with the additional use of the Wilson flux mechanism. Then we present the corresponding programme in the case that the extra dimensions are considered to be fuzzy coset spaces and the best model that has been constructed in this framework too. In both cases the best model appears to be the trinification GUT .     

Geometry and combinatorics of Julia sets of real quadratic maps

For real a correspondence is made between the Julia setB forz(z–)², in the hyperbolic case, and the set of-chains±(±(±..., with the aid of Cremer's theorem. It is shown how a number of features ofB can be understood in terms of-chains. The structure ofB is determined by certain equivalence classes of-chains, fixed by orders of visitation of certain real cycles; and the bifurcation history of a given cycle can be conveniently computed via the combinatorics of-chains. The functional equations obeyed by attractive cycles are investigated, and their relation to-chains is given. The first cascade of period-doubling bifurcations is described from the point of view of the associated Julia sets and-chains. Certain Julia sets associated with the Feigenbaum function and some theorems of Lanford are discussed.Supported by NSF grant No. MCS-8104862.Supported by NSF grant No. MCS-8203325.     

港口柔性评价

港口柔性体现了港口对社会经济环境变化的反应能力和适应能力,科学的港口柔性评价是提高其柔性水平的基础.根据柔性的多维度特征和港口生产服务实际,从战略柔性、结构柔性、管理柔性、生产柔性和可持续柔性五个方面建立了港口柔性评价指标体系;选用模糊ANP方法建立评价模型,即根据各柔性指标之间的依存和反馈关系,用网络分析法(ANP)确定模糊指标权重.模糊ANP方法能够较准确地给出港口柔性的定量评价,为港口采取正确的发展策略、提高柔性水平提供参考.     

模糊控制器用于改善涡轮增压柴油机的部分负荷性能

模糊控制已在一类缓变的过程控制中得到成功的应用,本文将它引入到柴油机这一高速系统的性能控制,研究了相应的模糊控制器的设计方法,研制了以微计算机为核心的增压空气泄放控制系统,并在B6135-ZG20涡轮增压柴油机上实现了最大爆发压力的闭环控制。这一研究进一步改善了增压系统的性能,也为模糊控制开辟了一个新的应用领域。     

广义凸集的切锥

本文讨论作者在〔16〕中提出的广义凸集的各种切锥之间的关系,切锥与正则锥的关系以及切锥的一些代数性质和拓朴性质。     

Fuzzy关系多个未知矩阵不定方程

本文在王鸿绪[1]等Fuzzy关系不定方程的基础上,推广到Fuzzy关系多个未知矩阵不定方程,讨论了它的基本性质定理,给出了Fuzzy关系多个未知矩阵不定方程的分层解法公式。     

统计递归集的Hausdorff测度的上、下界

给出了由随机压缩算子生成的统计递归集的Ｈａｕｓｄｏｒｆ测度上、下界的估计．也就是说,在一些条件下,找出了Ｋ（ω）∩∞ｎ＝１∪ｉ∈Ｎｎ（ω）ｆ（ω）ｎ,ｉ（Ｅ）的α－维Ｈａｕｓｄｏｒｆ测度的上、下界,其中｛ｆｎ,ｉ,１≤ｉ,ｎ＜∞｝是一族随机压缩算子,｛Ｎｎ（ω）,ｎ≥１｝是一族可数的随机指标集．     

认知空间上的智能系统FDSS

智能系统ＦＤＳＳ是直接构造出表现模糊逻辑的一套硬件。作为专家系统的核心,可以通过从经验规则而来的分立电子线路模块与计算机接口相缝合,达到使形式化知识及非形式化知识融溶一体,综合运用的目的。