Discontinuous Weighted Least-Squares Approximation on Irregular Grids
Discontinuous Weighted Least-Squares Approximation on Irregular Grids
复制标题
不规则网格上的不连续加权最小二乘近似
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
N. Petrovskaya
中科院分区：
文献类型：
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作者：
N. Petrovskaya
不连续加权最小二乘（DWLS）近似是一种改进的标准加权最小二乘方法，目前在计算空气动力学中得到了广泛的应用。DWLS方法通常用于在非结构化计算网格上近似解函数，这导致近似的不规则局部支持。虽然加权最小二乘重建的属性是众所周知的规则的几何形状，在非均匀网格的近似是一个很好的研究领域，到目前为止。在我们的论文中，我们证明了DWLS方法在扭曲的网格上的性能相关的困难，并概述了一种新的方法的基础上修改的定义远点扭曲的网格。我们的讨论说明了从计算空气动力学问题的DWLS近似的例子。关键词：不连续加权最小二乘逼近，拉伸网格，离群值
Discontinuous weighted least– squares (DWLS) approximation is a modification of a standard weighted least-squares approach that nowadays is intensively exploited in computational aerodynamics. A DWLS method is often employed to approximate a solution function over an unstructured computational grid that results in an irregular local support for the approximation. While the properties of a weighted least-squares reconstruction are well known for regular geometries, the approximation over a non-uniform grid is not a well researched area so far. In our paper we demonstrate the difficulties related to the performance of a DWLS method on distorted grids and outline a new approach based on a revised definition of distant points on distorted grids. Our discussion is illustrated by examples of DWLS approximation taken from computational aerodynamics problems. Keyword: discontinuous weighted leastsquares approximation, stretched mesh, outliers