A METHOD FOR NUMERICAL EVALUATION OF SINGULAR INTEGRALS IN CURVED HEXAHEDRA AND WITH HIGH-ORDER SOURCE FUNCTIONS

被引：0
|
作者：
Gharakhani, Adrin [1 ]
Stock, Mark J. [1 ]
机构：
[1] Appl Sci Res Inc, Irvine, CA 92612 USA
来源：
PROCEEDINGS OF ASME 2022 FLUIDS ENGINEERING DIVISION SUMMER MEETING, FEDSM2022, VOL 2 | 2022年
基金：
美国国家卫生研究院;
关键词：
High Order Singular Integration; Biot-Savart Integral; POTENTIAL INTEGRALS; QUADRILATERALS;
D O I：
暂无
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A method is developed for evaluating the 3-D Biot-Savart singular integral for the velocity field induced by arbitrarily high-order (discontinuous) vorticity in arbitrarily high-order curved hexahedral elements. The proposed method uses Duffy's coordinate transformation and singularity removal strategy, which, through a set of transformations, accommodates accurate evaluation of the transformed volume integrals using standard adaptive cubature techniques. In this paper, the new method is formulated in detail, followed by a series of benchmark tests demonstrating the convergence properties of the singular volume integral as a function of the discretization order of the vorticity (source) field.
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页数：10
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