论文标题
一个新型的大型涡流模型，用于有限体积设置中的准地斑方程
A novel Large Eddy Simulation model for the Quasi-Geostrophic Equations in a Finite Volume setting
论文作者
论文摘要
我们基于非线性差分低通滤波器提出了大型涡流模拟（LES）方法，用于模拟具有未精确的网格的二维正压流。为了实现此类模型，我们选择了一种隔离的三步算法，该算法与计算有效的有限体积方法相结合。我们评估了我们在经典双胃风力强迫基准测试中的方法的性能。我们提出的数值实验表明，我们的非线性过滤器是对线性滤波器的改进，因为即使使用极其粗糙的网格，它也能够恢复时间平均流函数的四个gyre模式。此外，我们的LES方法提供了一种平均动能，该动能与直接数值模拟计算的方法进行了很好的比较。
We present a Large Eddy Simulation (LES) approach based on a nonlinear differential low-pass filter for the simulation of two-dimensional barotropic flows with under-refined meshes. For the implementation of such model, we choose a segregated three-step algorithm combined with a computationally efficient Finite Volume method. We assess the performance of our approach on the classical double-gyre wind forcing benchmark. The numerical experiments we present demonstrate that our nonlinear filter is an improvement over a linear filter since it is able to recover the four-gyre pattern of the time-averaged stream function even with extremely coarse meshes. In addition, our LES approach provides an average kinetic energy that compares well with the one computed with a Direct Numerical Simulation.
