A Semi-Lagrangian Method for Turbulence Simulations Using Mixed Spectral Discretizations

被引：0

作者：

Jin Xu

Dongbin Xiu

George Em Karniadakis

机构：

[1] Brown University,Division of Applied Mathematics

来源：

Journal of Scientific Computing | 2002年 / 17卷

关键词：

direct numerical simulation; spectral elements; semi-Lagrangian schemes;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present a semi-Lagrangian method for integrating the three-dimensional incompressible Navier–Stokes equations. We develop stable schemes of second-order accuracy in time and spectral accuracy in space. Specifically, we employ a spectral element (Jacobi) expansion in one direction and Fourier collocation in the other two directions. We demonstrate exponential convergence for this method, and investigate the non-monotonic behavior of the temporal error for an exact three-dimensional solution. We also present direct numerical simulations of a turbulent channel-flow, and demonstrate the stability of this approach even for marginal resolution unlike its Eulerian counterpart.

引用

页码：585 / 597

页数：12

共 28 条

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