耗散粒子动力学在流动数值模拟中的应用

对耗散粒子动力学方法在流动问题中的应用进行了理论及数值研究，给出了耗散流体粒子运动的控制方程组、边界条件、数值方法及随机数据统计方法等．提出用固壁粒子层结合流体粒子反弹运动的方法来处理固壁边界有滑移流动边界条件，有效地消除了目前耗散粒子动力学及分子动力学模型在固壁附近的粒子密度波动问题．利用该方法编程计算了2类流动问题：方腔驱动流动与泊肃叶流动，计算结果与现有的理论及数值结果比较吻合，验证了所采用的数学模型、计算方法在流动数值模拟中的可行性及潜在优势．

Application of Dissipative Particle Dynamics to Fluid Flow Simulation

The dissipative particle dynamics method with applications to fluid flows is investigated theoretically and numerically. A mathematical model for the dissipative particle dynamics method is established, including governing equations for the motions of fluid particles, boundary conditions, calculation algorithm, and statistical sampling of random flow fields. And a new scheme is proposed to accomplish the slip boundary condition on solid wall by imposing a layer of solid particles and peculiar reflection condition at the solid boundary, where the non-physical fluctuation in fluid particle density near the solid wall is effectively eliminated. Two typical fluid flows, liddriven cavity flow and Poiseuille flow, are simulated numerically with the proposed model and method. The good agreement of the calculated results with the available theoretical or benchmark ones verifies the validity and potential predominance for numerical flow simulation.