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首页> 外文期刊>Journal of Computational Physics >A local tensor type artificial viscosity for two-dimensional Lagrangian staggered grid hydrodynamics
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A local tensor type artificial viscosity for two-dimensional Lagrangian staggered grid hydrodynamics

机译：用于二维拉格朗日交错网格流体动力学的局部张量人工粘度

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摘要

We present a new local tensor type artificial viscosity for two-dimensional Lagrangian staggered grid hydrodynamics. The subcell viscous force is constructed in a manner that ensures dissipation of kinetic energy for the Cartesian coordinate system. Two types of viscosity limiting methods are proposed utilizing the reconstructed velocity gradient at nodal point. The new viscosity has the merit of damping mesh instabilities such as the hourglass and chevron null modes, which is in common with the Riemann problem based artificial viscosity proposed by N. Morgan et al. (2014) [25]. In contrast to the latter, the new viscous force would vanish in case the associated velocity jump corresponds to expansion and so that little dissipation error is produced in the computation of a rarefaction wave. The accuracy and robustness of the new viscosity is demonstrated via a series of benchmark tests. (C) 2020 Elsevier Inc. All rights reserved.
机译：针对二维拉格朗日交错网格流体力学，提出了一种新的局部张量型人工粘性。子单元粘性力的构造方式确保了笛卡尔坐标系下动能的耗散。利用重构的节点速度梯度，提出了两种粘度限制方法。新粘度具有阻尼网格不稳定性的优点，如沙漏和V形零模，这与N.Morgan等人（2014）提出的基于黎曼问题的人工粘度相同[25]。与后者相反，如果相关的速度跃变对应于膨胀，则新的粘性力将消失，因此在计算稀疏波时几乎不会产生耗散误差。通过一系列基准测试，证明了新粘度的准确性和鲁棒性。（C） 2020爱思唯尔公司版权所有。

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