A Moving-Mesh Finite-Volume Scheme for Compressible Flows
A Moving-Mesh Finite-Volume Scheme for Compressible Flows
复制标题
可压缩流的动网格有限体积方案
DOI：
10.1007/978-3-642-56535-9_107
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
N. Satofuka
中科院分区：
文献类型：
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作者：
K. Matsuno;K. Mihara;N. Satofuka
本文提出了一种计算移动网格系统上具有移动壁面边界的可压缩粘性流动的新方法。对于运动网格系统，该方案必须满足几何守恒律[1]。为了满足几何守恒定律，该方案采用了完全时空（x,y,t）域中的有限体积公式。这种处理使得该方案完全满足求解动网格系统非定常流动方程的物理和几何守恒律。得到的全隐式格式在每个时间步迭代求解。这种“内部”迭代通过高效且高度稳定的Rational Runge-Kutta方案以显式的方式执行，因此该方案的算法可以显式地处理，尽管隐式公式。这种内部迭代的方法类似于所谓的伪时间方法。本文还对内迭代策略和伪时间方法进行了讨论和数值解释。本文给出了该格式在具有流体/体-运动耦合相互作用的可压缩Navier-Stokes流中的应用。
This paper presents a new scheme for calculating compressible viscous flows with traveling wall boundary on moving mesh system. For the moving-mesh system, it is necessary for the scheme to satisfy the geometric conservation laws[1]. To satisfy the geometric conservation laws, a finite-volume formulation in the complete space-time (x,y,t) domain is adopted in the scheme. This treatment makes it possible that the scheme completely satisfies the physical and geometrical conservation laws for solving unsteady flow equation on moving-mesh system. The resultant fully implicit scheme is solved iteratively at every time step. This “inner” iteration is performed in an explicit manner through the efficient and highly stable Rational Runge-Kutta scheme, so that the algorithm of the scheme can be treated explicitly notwithstanding the implicit formulation. This approach of the inner iteration is similar to so-called pseudo-time approach. This paper also gives some discussion and numerical interpretation between the inner iteration strategy and the pseudo-time approach. The paper gives an application of the present scheme to compressible Navier-Stokes flows with fluid/body-motion coupled interaction.