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Validation of Gas-Kinetic Scheme Solver for the Compressible and Incompressible Flows Simulation

机译:气体动力学方案求解器对可压缩和不可压缩流动模拟的验证

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Gas-kinetic scheme (GKS) is becoming more and more popular in computational fluid dynamics (CFD). From low-speed incompressible to hypersonic compressible flows and from inviscid to viscous and heat conducting flows, the GKS can always show good performance. By using a time dependent gas distribution function at the cell interface which includes the particle free transport and particle collision terms, a GKS solver can construct a flux evaluation process different from a Riemann solver. In a finite volume method (FVM), the GKS construct a gas evolution process from a piecewise discontinuous initial data. In the smooth flow region, the Navier-StokeS (NS) solution with correct Prandtl number can be recovered from the GKS model with a modification in the heat flux. In the continuum flow regime, the Chapman-Enskog expansion can be used to construct a NS solution based on the macroscopic variables (density, velocity, pressure). Therefore a continuous microscopic particle velocity space can be used for the construction of the gas distribution function. This paper includes some numerical examples to validate the current FVM GKS solver developed by the authors. The simulations cover from one-dimension to three-dimension and from incompressible to compressible cases.
机译:气体动力学方案(GKS)在计算流体动力学(CFD)中变得越来越受欢迎。从低速不可压缩到超音速可压缩流量,并从身体上的粘性和导热流动,GKS可以始终显示出良好的性能。通过在包括颗粒的电池接口处使用时间依赖性气体分布功能,该气体分布函数包括颗粒自由输送和颗粒碰撞术语,GKS求解器可以构建与Riemann求解器不同的磁通评估过程。在有限体积法(FVM)中,GKS从分段不连续初始数据构建气体演化过程。在光滑的流动区域中,可以通过在热通量的改进中从GKS模型中恢复具有正确的prandtl数的Navier-Stokes(ns)溶液。在连续体流动制度中,Chapman-Enskog扩展可用于基于宏观变量(密度,速度,压力)构建NS解决方案。因此,连续的微观粒子速度空间可用于构建气体分配功能。本文包括一些数字示例,用于验证作者开发的当前FVM GKS求解器。模拟从一维到三维,从不可压缩的情况下覆盖。

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