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Time-dependent and outflow boundary conditions for Dissipative Particle Dynamics

机译:耗散粒子动力学的时间相关和流出边界条件

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摘要

We propose a simple method to impose both no-slip boundary conditions at fluid-wall interfaces and at outflow boundaries in fully developed regions for Dissipative Particle Dynamics (DPD) fluid systems. The procedure to enforce the no-slip condition is based on a velocity-dependent shear force, which is a generalized force to represent the presence of the solid-wall particles and to maintain locally thermodynamic consistency. We show that this method can be implemented in both steady and time-dependent fluid systems and compare the DPD results with the continuum limit (Navier-Stokes) results. We also develop a force-adaptive method to impose the outflow boundary conditions for fully developed flow with unspecified outflow velocity profile or pressure value. We study flows over the backward-facing step and in idealized arterial bifurcations using a combination of the two new boundary methods with different flow rates. Finally, we explore the applicability of the outflow method in time-dependent flow systems. The outflow boundary method works well for systems with Womersley number of O(1), i.e. when the pressure and flowrate at the outflow are approximately in-phase.
机译:我们提出了一种简单的方法,在耗散粒子动力学(DPD)流体系统的完全发达区域中,在流体壁界面和流出边界处施加无滑移边界条件。实施防滑条件的过程基于速度相关的剪切力,该剪切力是代表固体壁颗粒存在并维持局部热力学一致性的广义力。我们证明了该方法可以在稳定和随时间变化的流体系统中实施,并将DPD结果与连续极限(Navier-Stokes)结果进行比较。我们还开发了一种力自适应方法,以完全未定义的流出速度轮廓或压力值对完全展开的流施加流出边界条件。我们使用两种不同流速的新边界方法的组合,研究了朝后步骤和理想动脉分叉处的血流。最后,我们探讨了流出法在时变流系统中的适用性。流出边界方法对于Womersley数为O(1)的系统效果很好,即流出时的压力和流量近似同相时。

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