一种用于混合连续介质-弹道气体动力学的对数高斯尺度空间限制器
A Log-Gaussian Scale-Space Limiter for Hybrid Continuum--Ballistic Gas Dynamics
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中文总结 AI 辅助
针对混合连续介质-弹道气体动力学问题，提出对数高斯尺度空间限制器，通过定义高斯累积概率权重实现通量过渡，经数值测试及参数扫描校准，降低平面壁面流平均分布误差，是概念验证数值方法和校准研究。
中文摘要 AI 辅助
我们提出了一种用于混合连续介质-弹道气体动力学的对数高斯尺度空间限制器。该方法在对数克努森数空间中将互补的连续介质和弹道权重定义为高斯累积概率。这种构造在纳维-斯托克斯-傅里叶通量和动力学/自由分子通量之间实现了平滑的数值过渡，并抑制了连续介质和自由分子极限中渐近无效的修正分支。通过将纳维-斯托克斯-傅里叶通量与半范围麦克斯韦动力学通量混合，将限制器纳入保守的有限体积界面通量中。使用一维DVM/BGK傅里叶和库埃特基准的数值测试表明，相对于NSF，稀疏修正改善了宏观分布。对过渡中心和宽度进行参数扫描得到了DVM/BGK校准的参数对K0 = 0.03和sigma = 2.5，对于测试的平面壁面流动，将组合平均分布误差降低了约40%。本文旨在作为一种概念验证数值方法和校准研究。
英文摘要
We propose a log-Gaussian scale-space limiter for hybrid continuum--ballistic gas dynamics. The method defines complementary continuum and ballistic weights as Gaussian cumulative probabilities in logarithmic Knudsen-number space and blends Navier--Stokes--Fourier and half-range Maxwellian kinetic fluxes. The method is formulated as a lightweight hybrid closure intended for future implementation in finite-volume, discrete Boltzmann, or gas-kinetic solvers. Reduced one-dimensional closure/profile comparisons against DVM/BGK Fourier and Couette data show that log-Gaussian weighting of NSF and jump/slip-corrected branches improves the tested macroscopic profiles relative to NSF. The same six DVM/BGK profiles are used both as reference profiles and to calibrate K0 and sigma; therefore, the approximately 40 percent reduction in combined mean profile error is an in-sample calibration result for the reduced profile model rather than independent validation or numerical validation of the proposed finite-volume face flux. Additional diagnostics assess non-equilibrium moments, internal parameter robustness, and shock-layer activation.
