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BECOOL: ballooning eigensolver with COOL finite elements. (English) Zbl 1280.76017
Summary: 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.
MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
Software:
COBRA; COOL; BECOOL
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References:
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