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首页> 外文期刊>Journal of Computational Physics >Implementation of the LANS-alpha turbulence model in a primitive equation ocean model
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Implementation of the LANS-alpha turbulence model in a primitive equation ocean model

机译：原始方程海洋模型中LANS-alpha湍流模型的实现

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This paper presents the first numerical implementation and tests of the Lagrangian-averaged Navier-Stokes-alpha (LANS-alpha) turbulence model in a primitive equation ocean model. The ocean model with which we work is the Los Alamos Parallel Ocean Program (POP); we refer to POP and our implementation of LANS-alpha as POP-alpha. Two versions of POP-alpha are presented: the full POP-alpha algorithm is derived from the LANS-a primitive equations, but requires a nested iteration that makes it too slow for practical simulations; a reduced POP-alpha algorithm is proposed, which lacks the nested iteration and is two to three times faster than the full algorithm. The reduced algorithm does not follow from a formal derivation of the LANS-alpha model equations. Despite this, simulations of the reduced algorithm are nearly identical to the full algorithm, as judged by globally averaged temperature and kinetic energy, snapshots of temperature and velocity fields, and temperature variance. Both POP-alpha algorithms can run stably with longer timesteps than standard POP. Comparison of implementations of full and reduced POP-alpha algorithms are made within an idealized test problem that captures some aspects of the Antarctic Circumpolar Current, a problem in which baroclinic instability is prominent. Both POP-alpha algorithms produce statistics that resemble higher-resolution simulations of standard POP. A linear stability analysis shows that both the full and reduced POP-a algorithms benefit from the way the LANS-alpha equations take into account the effects of the small scales on the large. Both algorithms (1) are stable; (2) have an effective Rossby deformation radius that is larger than the deformation radius of the unmodeled equations; and (3) reduce the propagation speeds of the modeled Rossby and gravity waves relative to the unmodeled waves at high wave numbers. (c) Published by Elsevier Inc.
机译：本文介绍了在原始方程海洋模型中拉格朗日平均Navier-Stokes-alpha（LANS-alpha）湍流模型的第一个数值实现和测试。我们与之合作的海洋模型是洛斯阿拉莫斯平行海洋计划（POP）;我们将POP和LANS-alpha的实现称为POP-alpha。给出了POP-alpha的两种版本：完整的POP-alpha算法是从LANS-a基本方程式衍生而来的，但是需要嵌套的迭代，这对于实际的仿真而言太慢了;提出了一种简化的POP-alpha算法，该算法缺少嵌套迭代，并且比完整算法快两到三倍。简化算法不能从LANS-alpha模型方程式的形式推导得出。尽管如此，通过全局平均温度和动能，温度和速度场快照以及温度变化来判断，简化算法的模拟与完整算法几乎相同。与标准POP相比，两种POP-alpha算法均可在更长的时间步长下稳定运行。在一个理想的测试问题中比较了完整和简化的POP-alpha算法的实现，该问题涵盖了南极绕极洋流的某些方面，其中斜压不稳定是一个突出的问题。两种POP-alpha算法产生的统计数据都与标准POP的高分辨率模拟相似。线性稳定性分析表明，完整的POP-a算法和简化的POP-a算法都受益于LANS-alpha方程考虑小比例尺对大比例尺的影响的方式。两种算法（1）都是稳定的; （2）具有有效的Rossby变形半径，该半径大于未建模方程的变形半径; （3）在高波数下，相对于未建模波，降低了建模的Rossby波和重力波的传播速度。 （c）爱思唯尔公司发行。

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