论文标题
改进了有限量量的错误估计和可压缩Navier-Stokes系统的MAC方案
Improved error estimates for the finite volume and the MAC schemes for the compressible Navier-Stokes system
论文作者
论文摘要
我们提供了应用于可压缩的Navier-Stokes方程的有限量和有限差方法的新错误估计。改进的误差估计值的主要创新成分是完善的一致性分析以及相对能量不平等的连续版本。因此，我们获得的收敛速率比到目前为止文献中可用的收敛率更好。此外，误差估计在绝热系数的整个物理相关范围内。
We present new error estimates for the finite volume and finite difference methods applied to the compressible Navier-Stokes equations. The main innovative ingredients of the improved error estimates are a refined consistency analysis combined with a continuous version of the relative energy inequality. Consequently, we obtain better convergence rates than those available in the literature so far. Moreover, the error estimates hold in the whole physically relevant range of the adiabatic coefficient.
