A consideration of tracer advection schemes in a primitive equation ocean model
A consideration of tracer advection schemes in a primitive equation ocean model
复制标题
原始方程海洋模型中示踪平流方案的考虑
DOI：
--
复制
发表时间：
1998
期刊：
影响因子：
--
通讯作者：
W. R. Holland
中科院分区：
文献类型：
--
作者：
M. Hecht;F. Bryan;W. R. Holland
我们在Bryan-Cox-Semtner型海洋模式的简单扇区配置的背景下考虑几种示踪平流方案。这些方案包括时间中心、空间中心、供体细胞逆风差分、通量校正输运（FCT）、最快和MPDATA。虽然我们讨论了温度和盐度的传输，并在我们的模型中应用了这种传输的替代方案，但我们主要集中在一个涉及被动示踪平流的问题上，其中垂直梯度很高，海面附近的浓度渐近线为零，就像生物地球化学海洋模型中的情况一样。我们发现，为了在这个具有挑战性的问题上产生可接受的结果，通量校正（可与MPDATA方案以及FCT方案一起选择）是必要的。介绍了一种被动示踪剂相对于动态变量的超循环方法，即被动示踪剂的时间步长大于用于模型的其他预测变量的时间步长，以便有效地应用这些更昂贵的通量限制方案。给出了一维时向平流格式在三维中二阶精确应用的一般方法。
We consider several tracer advection schemes in the context of a simple sector configuration of a Bryan-Cox-Semtner type ocean model. The schemes are centered-in-time centered-in-space, donor cell upwind differencing, flux corrected transport (FCT), QUICKEST and MPDATA. While we discuss the transport of temperature and salinity, and apply alternative schemes to this transport within our model, we concentrate primarily on a problem which involves passive tracer advection in which vertical gradients are high and concentrations asymptote to zero near the sea surface, as is the case in biogeochemical ocean modeling. We find that flux correction (available optionally with the MPDATA scheme, as well as the FCT scheme) is required in order to produce acceptable results on this challenging problem. A method of supercycling of passive tracers relative to dynamic variables, whereby the time step for passive tracers is larger that that used for the other prognostic variables of the model, is introduced in order to apply these more expensive flux limited schemes efficiently. We also present a general method for the second-order accurate application of one-dimensional forward-in-time advection schemes in three dimensions.