在多体耗散粒子动力学(MDPD)的背景下,开发了一种封闭形式的数学表达式来对复杂的墙进行分析建模。MDPD是耗散粒子动力学(DPD)的修改版本,它是一种基于粒子的无网格方法。在DPD方法中,已经进行了多种尝试来对固体壁和非周期性边界条件的影响进行分析建模。但是,针对与MDPD相关的这些边界条件的研究数量很少,这些边界条件是通过对流固颗粒相互作用的直接建模来捕获静态和动态流体-结构相互作用的。这项工作是第一次 针对MDPD中的实体墙边界条件采用分析模型(整体方法),该模型可显着提高计算效率,从而将其适用范围扩展至弯曲或复杂的墙。此外,目前的研究中使用了改良的保守力模型。首先对模型进行规范化处理,以解决现有文献中存在的润湿差异,然后通过几个基准研究和测试案例(例如Wenzel模型)进行验证。此外,在全数值和半解析(积分力模型)方法之间进行了比较。充分讨论了时间效率,准确性,实心壁附近的密度波动以及所提出模型的局限性。目前的研究中使用了改良的保守力量模型。首先对模型进行规范化处理,以解决现有文献中存在的润湿差异,然后通过几个基准研究和测试案例(例如Wenzel模型)进行验证。此外,在全数值和半解析(积分力模型)方法之间进行了比较。充分讨论了时间效率,准确性,实心壁附近的密度波动以及所提出模型的局限性。目前的研究中使用了改良的保守力量模型。首先对模型进行规范化处理,以解决现有文献中存在的润湿差异,然后通过几个基准研究和测试案例(例如Wenzel模型)进行验证。此外,在全数值和半解析(积分力模型)方法之间进行了比较。彻底讨论了时间效率,准确性,实心壁附近的密度波动以及所提出模型的局限性。进行了全数值和半解析(积分力模型)方法的比较。充分讨论了时间效率,准确性,实心壁附近的密度波动以及所提出模型的局限性。进行了全数值和半解析(积分力模型)方法的比较。充分讨论了时间效率,准确性,实心壁附近的密度波动以及所提出模型的局限性。
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A simple analytical model of complex wall in multibody dissipative particle dynamics
In the context of multibody dissipative particle dynamics (MDPD), a closed-form mathematical expression is developed to analytically model a complex wall. MDPD is a modified version of dissipative particle dynamics (DPD), a particle-based mesh free method. There have been several attempts to analytically model the influence of solid walls and non-periodic boundary conditions in the DPD approach. However, there is a limited number of studies for these boundary conditions associated with MDPD that capture static and dynamic fluid-structure interactions through direct modeling of fluid-solid particle interactions. This work, for the first time, employs an analytical model (integral approach) for the solid wall boundary condition in MDPD that brings substantial gain in computational efficiency and thus expands the scope of its applicability to curved or complex walls. Furthermore, a modified model of conservative force is used in the current investigation. The model is first normalized to address the discrepancies in wetting that exist in the present literature and is then validated through several benchmark studies and test cases, such as a Wenzel model. Moreover, comparisons between both the fully numerical and the semi-analytical (integral force model) approaches are drawn. Time efficiency, accuracy, density fluctuation in vicinity of solid wall, and limitations of the proposed model are thoroughly discussed.