论文标题
使用耦合离散统一气体动力学方案（CDUGKS）的计算流体动力学
Computational Fluid Dynamics with the Coupled Discrete Unified Gas Kinetic Scheme (CDUGKS)
论文作者
论文摘要
在本文中，我们介绍了https://journals.aps.org/pre/abstract/10.1103/physreve.98.053310的耦合离散统一气体动力学方案（CDUGKS）的开源实现，该相位是一种处理广泛的流程范围的相位方案。我们证明了它在几个问题上的表现，包括来自天体物理流体动力学文献中的许多众所周知的测试问题，例如1D SOD冲击管，2D Kelvin-Helmholtz不稳定，一维热声波，三角形的Gresho涡流，一种正弦波速度膜片。对于这些问题，我们表明，该代码可以模拟从无关/欧拉制度到自由流动制度的流，从而在适当的制度中捕获冲击和新兴的扩散过程。我们还使用各种PRANDTL数字来证明该方案在固定粘度下模拟不同导热率的能力。该方案在空间和时间上是二阶准确的，与许多求解器不同，它使用一个独立于气体的平均自由路径的时间步骤。我们的代码（MP-CDUGKS）在CC0 1.0通用许可下公开，可在https://github.com/alvarozamora/cdugks上获得。
In this paper, we introduce our open source implementation of the Coupled Discrete Unified Gas Kinetic Scheme (CDUGKS) of https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.053310, a phase space scheme capable of handling a wide range of flow regimes. We demonstrate its performance on several problems including a number of well known test problems from the astrophysical fluid dynamics literature such as the 1D Sod shock tube, 2D Kelvin-Helmholtz instability, 1D thermoacoustic wave, a triangular Gresho vortex, a sine wave velocity perturbation. For these problems, we show that the code can simulate flows ranging from the inviscid/Eulerian regime to the free-streaming regime, capturing shocks and emergent diffusive processes in the appropriate regimes. We also use a variety of Prandtl numbers to demonstrate the scheme's ability to simulate different thermal conductivities at fixed viscosity. The scheme is second-order accurate in space and time and, unlike many solvers, uses a time step that is independent of the mean free path of the gas. Our code (MP-CDUGKS) is public under a CC0 1.0 Universal license and is available on https://github.com/alvarozamora/CDUGKS
