This work presents a computational method for the solution of problems involving flowing fluid media laden with solid particles. The idea is based on previous works by the authors on (though then separately considered) fluid–structure interaction and particle dynamics. The fluid problem is treated through an Eulerian finite element approach, with the resulting system of nonlinear equations being iteratively solved by a Newton–Raphson procedure within a Newmark time integration scheme. The particle problem, in turn, is treated through a Lagrangian discrete element approach, wherein both particle-to-particle and particle-to-wall (rigid surfaces) contacts are fully permitted and resolved. The influence of the fluid on the motion of the particles is represented by means of forces and moments, which are computed from solution of the fluid flow around the particles and imposed on the latter in a coupled iterative way. The influence of the particles on the fluid, in turn, is considered by imposing consistent boundary conditions on the fluid at its corresponding interfaces with the particles. This is achieved through an immersed boundaries technique. An implicit, staggered, coupled FEM–DEM scheme is developed within a time-marching solution process. Examples of numerical simulations are provided to illustrate the applicability and potentialities of the proposed method.

这项工作提出了一种解决问题的计算方法，该问题涉及到充满固体颗粒的流体介质的流动。这个想法是基于作者先前的研究（尽管经过单独考虑），研究了流固耦合和粒子动力学。流体问题通过欧拉有限元方法进行处理，由此产生的非线性方程组在Newmark时间积分方案中通过Newton-Raphson过程进行迭代求解。反过来，通过拉格朗日离散元素方法处理粒子问题，其中完全允许并解决粒子与粒子和粒子与壁（刚性表面）的接触。流体对粒子运动的影响通过力和力矩来表示，它们由围绕颗粒的流体流动的溶液计算出，并以耦合的迭代方式施加在颗粒上。依次通过在流体与颗粒的对应界面处对流体施加一致的边界条件来考虑颗粒对流体的影响。这是通过沉浸边界技术实现的。一个隐式的，交错的，耦合的FEM-DEM方案是在时间前进的解决方案过程中开发的。提供了数值模拟示例，以说明该方法的适用性和潜力。这是通过沉浸边界技术实现的。一个隐式的，交错的，耦合的FEM-DEM方案是在时间前进的解决方案过程中开发的。提供了数值模拟示例，以说明该方法的适用性和潜力。这是通过沉浸边界技术实现的。一个隐式的，交错的，耦合的FEM-DEM方案是在时间前进的解决方案过程中开发的。提供了数值模拟示例，以说明该方法的适用性和潜力。