论文标题
耦合的Navier-Stokes方程的多射线分区runge-kutta方法
Multirate Partitioned Runge-Kutta Methods for Coupled Navier-Stokes Equations
论文作者
论文摘要
地球系统模型是大气，海洋，海冰和陆地表面的复杂集成模型。由于物理，时间和空间尺度的差异，将组件耦合可能是一个重大挑战。这项研究探讨了基于多射线分配的runge-kutta方法的流体流体相互作用问题的新耦合策略。我们考虑可压缩的Navier-Stokes方程，重力通过刚性距离界面耦合。我们的大规模数值实验表明，多射线分配的runge-kutta耦合方案（1）可以节省总质量。 （2）及时具有二阶精度； （3）在现代计算体系结构上提供了有利的稳定和弱尺度性能。我们还表明，多射线分区的runge-kutta方法的加速因子与基础（单速率）方法相匹配的理论期望。
Earth system models are complex integrated models of atmosphere, ocean, sea ice, and land surface. Coupling the components can be a significant challenge due to the difference in physics, temporal, and spatial scales. This study explores new coupling strategies for the fluid-fluid interaction problem based on multirate partitioned Runge-Kutta methods. We consider compressible Navier-Stokes equations with gravity coupled through a rigid-lid interface. Our large-scale numerical experiments reveal that multirate partitioned Runge-Kutta coupling schemes (1) can conserve total mass; (2) have second-order accuracy in time; and (3) provide favorable strong- and weak-scaling performance on modern computing architectures. We also show that the speedup factors of multirate partitioned Runge-Kutta methods match theoretical expectations over their base (single-rate) method.
