可压缩Navier-Stokes方程有限体积和MAC格式的改进误差估计
Improved error estimates for the finite volume and the MAC schemes for the compressible Navier-Stokes system
摘要：
本文给出了求解可压缩Navier-斯托克斯方程的有限体积法和有限差分法的新的误差估计。改进的误差估计的主要创新成分是一个精致的一致性分析相结合的连续版本的相对能量不等式。因此，我们获得了更好的收敛速度比那些在文献中迄今为止。此外，误差估计保持在绝热系数的整个物理相关范围内。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
