Numerical entropy conservation without sacrificing Charney-Phillips grid optimal wave propagation
Numerical entropy conservation without sacrificing Charney-Phillips grid optimal wave propagation
复制标题
数值熵守恒而不牺牲 Charney-Phillips 网格最优波传播
DOI：
10.1002/qj.4334
复制
发表时间：
2022
影响因子：
8.9
通讯作者：
Thuburn J
中科院分区：
文献类型：
--
作者：
Thuburn J
熵或势温的守恒和不需要计算模式的波传播的精确表示都是大气数值模型所需要的特性。然而，它们似乎需要不同的模型公式，迫使模型开发人员在它们之间进行选择。这里表明，通过对水平熵通量的直接修改，可以在不牺牲精确波传播的情况下实现数值熵守恒。结果通过简单但适当修改的有限体积格式的数值线性正态分析，以及使用适当修改的保守半拉格朗日输运格式的垂直切片模型中的浮力气泡和重力波测试案例得到证实。
Conservation of entropy or potential temperature and accurate representation of wave propagation without computational modes are both desirable properties for a numerical model of the atmosphere. However, they appear to require different model formulations, forcing model developers to choose between them. Here it is shown that, by a straightforward modification of the horizontal entropy fluxes, numerical entropy conservation can be achieved without sacrificing accurate wave propagation. The result is confirmed by a numerical linear normal mode analysis for a simple but suitably modified finite‐volume scheme, and by buoyant bubble and gravity‐wave test cases in a vertical slice model using a suitably modified conservative semi‐Lagrangian transport scheme.