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首页> 外文期刊>Journal of Computational Physics >BECOOL: Ballooning eigensolver with COOL finite elements
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BECOOL: Ballooning eigensolver with COOL finite elements

机译:BECOOL:带有COOL有限元的膨胀型本征求解器

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摘要

An incompressible variational ideal ballooning mode equation is discretized with the COOL finite element discretization scheme using basis functions composed of variable order Legendre polynomials. This reduces the second order ordinary differential equation to a special block pentadiagonal matrix equation that is solved using an inverse vector iteration method. A benchmark test of BECOOL (Ballooning Eigensolver using COOL finite elements) with second order Legendre polynomials recovers precisely the eigenvalues computed by the VVBAL shooting code. Timing runs reveal the need to determine an optimal lower order case. Eigenvalue convergence runs show that cubic Legendre polynomials construct the optimal ballooning mode equation for intensive computations.
机译:使用由可变阶勒让德多项式组成的基函数,通过COOL有限元离散化方案离散不可压缩的变分理想膨胀模式方程。这将二阶常微分方程简化为使用逆矢量迭代方法求解的特殊块五角形矩阵方程。使用二阶Legendre多项式的BECOOL(使用COOL有限元的Ballooning Eigensolver)进行基准测试,可以精确地恢复由VVBAL射击代码计算出的特征值。时序运行揭示了确定最佳低阶情况的必要性。特征值收敛运行表明,三次勒让德多项式构造了用于密集计算的最佳膨胀模式方程。

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