论文标题
替代Navier-Stokes系统的分析：弱熵解决方案和收敛的数值方案
Analysis of an alternative Navier-Stokes system: Weak entropy solutions and a convergent numerical scheme
论文作者
论文摘要
我们认为最初在\ cite {svard18}中提出的可压缩粘性理想气体的替代性纳维尔 - 斯托克斯模型。我们得出了足够强的先验估计值，可以支持系统的弱熵解决方案。在这些估计值的指导下，我们提出了一个有限的体积方案，得出类似的估计，并证明了向弱熵溶液的网格收敛。此外，这种存在证明对于“大”初始数据有效，并且不需要对解决方案的先验假设。
We consider an alternative Navier-Stokes model for compressible viscous ideal gases, originally proposed in \cite{Svard18}. We derive a priori estimates that are sufficiently strong to support a weak entropy solution of the system. Guided by these estimates, we propose a finite volume scheme, derive the analogous estimates and demonstrate grid convergence towards a weak entropy solution. Furthermore, this existence proof is valid for "large" initial data and no a priori assumptions on the solution are needed.
