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Hyper Singular Boundary Element Formulation For The Grad-shafranov Equation As An Axisymmetric Problem

机译:Grad-shafranov方程的超奇异边界元公式作为轴对称问题

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The Grad-Shafranov equation describes the magnetic flux distribution of plasma in an axisymmetric system such as a tokamak-type nuclear fusion device. This paper presents a scheme to solve the hyper singular boundary integral equation (HBIE) corresponding to this Grad-Shafranov equation. All hyper and strong singularities caused by differentials of the complete elliptic integrals have been regularized up to the level of the Cauchy principal value integral. Test calculations commonly using discontinuous boundary elements have been made to compare the HBIE solutions with the solutions of the standard boundary integral equation (SBIE).
机译:Grad-Shafranov方程描述了轴对称系统(例如托卡马克型核聚变设备)中等离子体的磁通量分布。本文提出了一种解决该Grad-Shafranov方程所对应的超奇异边界积分方程(HBIE)的方案。由完整椭圆积分的微分引起的所有超奇异和强奇异性都已规范化到柯西主值积分的水平。已经进行了通常使用不连续边界元素的测试计算,以比较HBIE解和标准边界积分方程(SBIE)的解。

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