速度相关碰撞规则下多粒子碰撞算法的输运系数
Transport coefficients of multi-particle collision algorithms with velocity-dependent collision rules
摘要：
本文详细计算了一个新近提出的具有非理想状态方程的流体动力学粒子模型的输运系数。排除体积的相互作用是通过偏置随机多粒子碰撞，这取决于当地的速度和密度建模。动量和能量在局部是完全守恒的。一般计划推导出输运系数的偏见，速度依赖的碰撞规则的发展。得到了自扩散系数和剪切粘度的解析表达式，在小和大的平均自由程下，与数值计算结果吻合得很好。粘度与温度的平方根成正比，就像在真实气体中一样。此外，理论框架适用于一个两个组件版本的模型，并给出了两个物种的粘度和扩散的差异的表达式。
英文摘要：
Detailed calculations of the transport coefficients of a recently introduced particle-based model for fluid dynamics with a non-ideal equation of state are presented. Excluded volume interactions are modeled by means of biased stochastic multiparticle collisions which depend on the local velocities and densities. Momentum and energy are exactly conserved locally. A general scheme to derive transport coefficients for such biased, velocity dependent collision rules is developed. Analytic expressions for the self-diffusion coefficient and the shear viscosity are obtained, and very good agreement is found with numerical results at small and large mean free paths. The viscosity turns out to be proportional to the square root of temperature, as in a real gas. In addition, the theoretical framework is applied to a two-component version of the model, and expressions for the viscosity and the difference in diffusion of the two species are given.
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