论文标题
具有可变密度的多层模型的灵活，有效的离散
Flexible and efficient discretizations of multilayer models with variable density
论文作者
论文摘要
我们表明，先前针对多层浅水模型引入的半平时时间离散方法也可以应用于boussinesq近似的可变密度情况。此外，对于可变密度方程式，可以使用可变数量的层，以实现所得多层方法的更高灵活性和效率。对线性化系统的分析，该系统允许以简单的配置来得出线性稳定性参数，并提供了所得的空间半差方程。许多数值实验证明了所提出的方法的有效性。
We show that the semi-implicit time discretization approaches previously introduced for multilayer shallow water models for the barotropic case can be also applied to the variable density case with Boussinesq approximation. Furthermore, also for the variable density equations, a variable number of layers can be used, so as to achieve greater flexibility and efficiency of the resulting multilayer approach. An analysis of the linearized system, which allows to derive linear stability parameters in simple configurations, and the resulting spatially semi-discretized equations are presented. A number of numerical experiments demonstrate the effectiveness of the proposed approach.
