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首页> 外文期刊>Journal of Computational Physics >Numerical simulation of core convection by a multi-layer semi-implicit spherical spectral method
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Numerical simulation of core convection by a multi-layer semi-implicit spherical spectral method

机译：多层半隐式球面谱法对岩心对流的数值模拟

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摘要

A semi-implicit multi-layer spherical spectral method for simulating stellar core convection is described. The fully compressible three-dimensional hydrodynamic equations with rotation and energy generation are solved. Prognostic variables are expressed as finite sums of spherical harmonics in the horizontal directions and handled by the finite difference method in the radial direction. The stratified approximation is used to simplify the nonlinearity to quadratic. A multi-layer scheme is employed to overcome the time step problem arising from shrinking grid sizes in the physical space near the center of the star. Despite of the different spectral truncations in different layers, round-off conservation of the total mass and total angular momentum of the whole domain can be maintained, and were confirmed numerically. The code is parallelized; with 12 processors the speedup factor is about 9. The solutions of model core convection with and without rotation are discussed.
机译：描述了一种模拟恒星对流的半隐式多层球面光谱方法。求解具有旋转和能量产生的完全可压缩的三维流体动力学方程。预后变量表示为水平方向上球谐函数的有限总和，并通过径向方向上的有限差分法进行处理。分层近似用于将非线性简化为二次。采用多层方案来克服由于恒星中心附近的物理空间中的网格尺寸缩小而引起的时步问题。尽管在不同的层中有不同的光谱截断，但仍可保持整个域的总质量和总角动量的舍入守恒，并通过数值确定。代码是并行的;在具有12个处理器的情况下，加速因子约为9。讨论了带旋转和不带旋转的模型堆芯对流的解决方案。

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