This paper is devoted to a multi-mesh-scale approach for describing the dynamic behaviors of thin geophysical mass flows on complex topographies.Because the topographic surfaces are generally non-trivially curved,we i...This paper is devoted to a multi-mesh-scale approach for describing the dynamic behaviors of thin geophysical mass flows on complex topographies.Because the topographic surfaces are generally non-trivially curved,we introduce an appropriate local coordinate system for describing the flow behaviors in an efficient way.The complex surfaces are supposed to be composed of a finite number of triangle elements.Due to the unequal orientation of the triangular elements,the distinct flux directions add to the complexity of solving the Riemann problems at the boundaries of the triangular elements.Hence,a vertex-centered cell system is introduced for computing the evolution of the physical quantities,where the cell boundaries lie within the triangles and the conventional Riemann solvers can be applied.Consequently,there are two mesh scales:the element scale for the local topographic mapping and the vertex-centered cell scale for the evolution of the physical quantities.The final scheme is completed by employing the HLL-approach for computing the numerical flux at the interfaces.Three numerical examples and one application to a large-scale landslide are conducted to examine the performance of the proposed approach as well as to illustrate its capability in describing the shallow flows on complex topographies.展开更多
为优化非连续变形分析(Discontinuous Deformation Analysis for Rock Failure)中计算精度和计算时间的关系,文章提出了DDARF多尺度网格划分方法,分别建立了多尺度网格和均匀网格的单轴压缩模型,并进行了数值试验和室内试验的对比;将多...为优化非连续变形分析(Discontinuous Deformation Analysis for Rock Failure)中计算精度和计算时间的关系,文章提出了DDARF多尺度网格划分方法,分别建立了多尺度网格和均匀网格的单轴压缩模型,并进行了数值试验和室内试验的对比;将多尺度网格划分方法应用于大型地下洞室开挖,对洞室附近区域进行了针对性研究。结果表明:DDARF多尺度网格与均匀网格模型单轴压缩试验相比,网格数量相同时提高了裂隙附近的计算精度,裂隙扩展规律与室内试验更为吻合;多尺度网格划分方法应用于地下洞室的开挖,在相同计算精度下减少了计算时间,提高了效率,位移规律和FLAC计算结果吻合度较高;多尺度网格划分方法完善并加强了DDARF模拟岩体裂隙扩展的功能,对大型岩土工程稳定性的优化分析具有重要的实用意义。展开更多
In this paper, we investigate multi-scale methods for the inverse modeling in 1-D Metal-Oxide-Silicon (MOS) capacitor. First, the mathematical model of the device is given and the numerical simulation for the forward ...In this paper, we investigate multi-scale methods for the inverse modeling in 1-D Metal-Oxide-Silicon (MOS) capacitor. First, the mathematical model of the device is given and the numerical simulation for the forward problem of the model is implemented using finite element method with adaptive moving mesh. Then numerical analysis of these parameters in the model for the inverse problem is presented. Some matrix analysis tools are applied to explore the parameters' sensitivities. And third, the parameters are extracted using Levenberg-Marquardt optimization method. The essential difficulty arises from the effect of multi-scale physical difference of the parameters. We explore the relationship between the parameters' sensitivities and the sequence for optimization, which can seriously affect the final inverse modeling results. An optimal sequence can efficiently overcome the multi-scale problem of these parameters. Numerical experiments show the efficiency of the proposed methods.展开更多
文摘This paper is devoted to a multi-mesh-scale approach for describing the dynamic behaviors of thin geophysical mass flows on complex topographies.Because the topographic surfaces are generally non-trivially curved,we introduce an appropriate local coordinate system for describing the flow behaviors in an efficient way.The complex surfaces are supposed to be composed of a finite number of triangle elements.Due to the unequal orientation of the triangular elements,the distinct flux directions add to the complexity of solving the Riemann problems at the boundaries of the triangular elements.Hence,a vertex-centered cell system is introduced for computing the evolution of the physical quantities,where the cell boundaries lie within the triangles and the conventional Riemann solvers can be applied.Consequently,there are two mesh scales:the element scale for the local topographic mapping and the vertex-centered cell scale for the evolution of the physical quantities.The final scheme is completed by employing the HLL-approach for computing the numerical flux at the interfaces.Three numerical examples and one application to a large-scale landslide are conducted to examine the performance of the proposed approach as well as to illustrate its capability in describing the shallow flows on complex topographies.
文摘为优化非连续变形分析(Discontinuous Deformation Analysis for Rock Failure)中计算精度和计算时间的关系,文章提出了DDARF多尺度网格划分方法,分别建立了多尺度网格和均匀网格的单轴压缩模型,并进行了数值试验和室内试验的对比;将多尺度网格划分方法应用于大型地下洞室开挖,对洞室附近区域进行了针对性研究。结果表明:DDARF多尺度网格与均匀网格模型单轴压缩试验相比,网格数量相同时提高了裂隙附近的计算精度,裂隙扩展规律与室内试验更为吻合;多尺度网格划分方法应用于地下洞室的开挖,在相同计算精度下减少了计算时间,提高了效率,位移规律和FLAC计算结果吻合度较高;多尺度网格划分方法完善并加强了DDARF模拟岩体裂隙扩展的功能,对大型岩土工程稳定性的优化分析具有重要的实用意义。
基金This project is supported by Motorola (China) Electronics Ltd. and the work of Pingwen Zhang is also partially supported by Special Funds for Major State Basic Research Projects of China G1999032804.
文摘In this paper, we investigate multi-scale methods for the inverse modeling in 1-D Metal-Oxide-Silicon (MOS) capacitor. First, the mathematical model of the device is given and the numerical simulation for the forward problem of the model is implemented using finite element method with adaptive moving mesh. Then numerical analysis of these parameters in the model for the inverse problem is presented. Some matrix analysis tools are applied to explore the parameters' sensitivities. And third, the parameters are extracted using Levenberg-Marquardt optimization method. The essential difficulty arises from the effect of multi-scale physical difference of the parameters. We explore the relationship between the parameters' sensitivities and the sequence for optimization, which can seriously affect the final inverse modeling results. An optimal sequence can efficiently overcome the multi-scale problem of these parameters. Numerical experiments show the efficiency of the proposed methods.
