Squirmers are models of a class of microswimmers that self-propel in fluids without significant deformation of their body shape, such as ciliated organisms and phoretic particles. Available techniques for their simulation are based on the boundary element method and do not contemplate nonlinearities such as those arising from the inertia of the fluid or non-Newtonian rheology. This article describes a methodology to simulate squirmers that overcomes these limitations by using volumetric numerical methods, such as finite elements or finite volumes. It deals with interface conditions at the surface of the squirmer that generalize those in the published literature, which are generally restricted to the imposition of slip velocities. The actual procedures to be performed on a fluid solver to implement the proposed methodology are provided, including the treatment of metachronal surface waves. Among the several numerical examples, a two-dimensional simulation is shown of the hydrodynamic interaction of two individuals of Opalina ranarum.

蠕动器是一类微游泳器的模型，它们可以在流体中自我推进而不会明显改变其纤毛状物体，例如纤毛生物和电泳粒子。用于模拟的可用技术基于边界元方法，并且不考虑诸如流体惯性或非牛顿流变学所引起的非线性。本文介绍了一种模拟松鼠的方法，该方法通过使用体积数值方法（例如有限元或有限体积）克服了这些限制。它处理了在振子表面上的界面条件，这些条件概括了已发表文献中的界面条件，这些条件通常仅限于施加滑移速度。提供了在流体求解器上执行以实现所建议方法的实际过程，包括异时表面波的治疗。在几个数值示例中，二维模拟显示了两个个体的水动力相互作用。Opalina ranarum。