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A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics

机译:一类新的有限元变分多尺度湍流模型   用于不可压缩的磁流体动力学

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摘要

New large eddy simulation (LES) turbulence models for incompressiblemagnetohydrodynamics (MHD) derived from the variational multiscale (VMS)formulation for finite element simulations are introduced. The new modelsinclude the variational multiscale formulation, a residual-based eddy viscositymodel, and a mixed model that combines both of these component models. Eachmodel contains terms that are proportional to the residual of theincompressible MHD equations and is therefore numerically consistent. Moreover,each model is also dynamic, in that its effect vanishes when this residual issmall. The new models are tested on the decaying MHD Taylor Green vortex at lowand high Reynolds numbers. The evaluation of the models is based on comparisonswith available data from direct numerical simulations (DNS) of the timeevolution of energies as well as energy spectra at various discrete times. Anumerical study, on a sequence of meshes, is presented that demonstrates thatthe large eddy simulation approaches the DNS solution for these quantities withspatial mesh refinement.
机译:引入了新的大涡模拟(LES)湍流模型,该模型由变分多尺度(VMS)公式导出,用于有限元模拟,用于不可压缩的磁流体动力学(MHD)。新模型包括变分多尺度公式,基于残差的涡流粘度模型以及结合了这两个组件模型的混合模型。每个模型都包含与不可压缩MHD方程的残差成比例的项,因此在数值上是一致的。此外,每个模型也是动态的,因为当这个残差很小时,其效果就消失了。新模型在雷诺数高和低的MHD泰勒格林涡旋上进行了测试。对模型的评估是基于与直接数值模拟(DNS)的时间数据进行比较的结果,这些数据是能量在不同离散时间的时间演化以及能谱的。进行了一系列网格的算例研究,结果表明,通过空间网格细化,大型涡模拟针对这些数量采用DNS解决方案。

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