A fourth-order boundary treatment for viscous fluxes on Cartesian grid finite-volume methods
A fourth-order boundary treatment for viscous fluxes on Cartesian grid finite-volume methods
复制标题
笛卡尔网格有限体积法粘性通量的四阶边界处理
DOI：
10.2514/6.2014-1277
复制
发表时间：
2014
影响因子：
2
通讯作者：
P. Colella
中科院分区：
文献类型：
--
作者：
Xinfeng Gao;S. Guzik;P. Colella
本文研究了在笛卡尔网格上求解可压缩Navier-Stokes方程的四阶边界处理方法。推导了黏性应力张量算子的四阶黑体模板，并在物理边界附近建立了改进的四阶模板。对四阶椭圆算子进行了傅立叶误差分析和稳定性分析。对于时间积分，我们使用四阶龙格-库塔法。将四阶格式应用于瞬态库特流，并验证了解的精度。
This study focuses on a fourth-order boundary treatment for nite-volume schemes to solve the compressible Navier-Stokes equations on a Cartesian grid. A fourth-order nite-volume stencil is derived for the viscous stress tensor operator and the modi ed fourth-order stencil near the physical boundary is developed. Fourier error analysis and stability analysis are performed for the fourth-order elliptic operator. For time integration, we use the fourth-order Runge-Kutta method. The fourth-order scheme was applied to the transient Couette ow and the solution accuracy was veri ed.