2D VORTEX METHODS AND SINGULAR QUADRATURE RULES

Strain J.

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2D VORTEX METHODS AND SINGULAR QUADRATURE RULES

机译：二维涡旋方法和奇异正交规则

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A new high-order vortex method for the 2D Euler equations is presented. The method eliminates smoothing by constructing a singular quadrature rule for the Biot-Savart law at each time step, using quadtrees and orthogonal polynomials. Theory and numerical experiments show that the method is accurate and efficient, yielding excellent long-term accuracy in almost optimal CPU time. (C) 1996 Academic Press, Inc. [References: 22]

机译：提出了一种新的二维欧拉方程高阶涡旋方法。该方法通过使用四叉树和正交多项式在每个时间步上为Biot-Savart定律构造奇异的正交规则，从而消除了平滑。理论和数值实验表明，该方法准确有效，可以在几乎最佳的CPU时间内获得出色的长期精度。（C）1996 Academic Press，Inc. [参考：22]

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《Journal of Computational Physics》 |1996年第1期|p. 131-145|共15页
作者
Strain J.;
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作者单位

UNIV CALIF BERKELEY DEPT MATH BERKELEY CA 94720 USA;

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原文格式 PDF
正文语种 eng
中图分类应用物理学;
关键词
Convergence; Equations; Accuracy;

机译：收敛;方程;精度;

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1. Quadrature rules for weakly singular, strongly singular, and hypersingular integrals in boundary integral equation methods [J] . Tsalamengas John L. Journal of Computational Physics . 2015,第Null期

机译：边界积分方程方法中的弱奇异积分，强奇异积分和超奇异积分的正交规则
2. A direct method to quadrature rules for a certain class of singular integrals with logarithmic, Cauchy, or Hadamard-type singularities [J] . John L. Tsalamengas International journal of numerical modelling . 2012,第5a6期

机译：具有对数，柯西或Hadamard型奇点的一类奇异积分的正交规则的直接方法
3. Quadrature Rules for Functions with a Mid-Point Logarithmic Singularity in the Boundary Element Method Based on the &i&x = t&sup&p&/sup&&/i& Substitution [J] . Stephen M. Kirkup, Javad Yazdani, George Papazafeiropoulos American Journal of Computational Mathematics . 2019,第4期

机译：基于＆ x = t＆ sup＆ p＆ / sup＆ i＆的边界元方法中具有中点对数奇异性的函数的正交规则。替代
4. Inmost singularities and appropriate quadrature rules in the boundary element method [C] . E. E. Theotokoglou, G. Tsamasphyros World Conference on Boundary Elements and Other Mesh Reduction Methods . 2007

机译：边界元法中的最奇点和适当的正交规则
5. Numerical Quadratures for Nearly Singular Integrals in the Three Dimensional Boundary Element Method利用統計を見る [D] . Hayami Ken 1993

机译：三维边界元方法中几乎奇异积分的数值积分
6. Controlled creation of a singular spinor vortex by circumventing the Dirac belt trick [O] . L. S. Weiss, M. O. Borgh, A. Blinova, -1

机译：通过规避狄拉克带骗术来控制产生奇异的旋涡
7. 2-D Vortex Methods and Singular Quadrature Rules [O] . John Strain 2000

机译：二维涡方法和奇异正交规则

2D VORTEX METHODS AND SINGULAR QUADRATURE RULES

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