In order to maintain the no-slip condition and the divergence-free property simultaneously, an iterative scheme of immersed boundary method in the finite element framework is presented. In this method, the Characteristic-based Split scheme is employed to solve the momentum equations and the formulation for the pressure and the extra body force is derived according to the no-slip condition. The extra body force is divided into two divisions, one is in relation to the pressure and the other is irrelevant. Two corresponding independent iterations are set to solve the two sections. The novelty of this method lies in that the correction of the velocity increment is included in the calculation of the extra body force which is relevant to the pressure and the update of the force is incorporated into the iteration of the pressure. Hence, the divergence-free properties and no-slip conditions are ensured concurrently. In addition, the current method is validated with well-known benchmarks.

为了同时保持防滑条件和无散度特性，提出了一种有限元框架下的浸入边界迭代方法。在这种方法中，采用基于特征的分裂方案来求解动量方程，并根据防滑条件推导压力和额外的体力的公式。多余的身体力量分为两个部分，一个与压力有关，另一个与压力无关。设置了两个相应的独立迭代来求解这两个部分。该方法的新颖性在于，速度增量​​的校正包括在与压力有关的额外身体力的计算中，并且力的更新被包括在压力的迭代中。因此，同时确保了无散度特性和防滑条件。此外，当前方法已通过知名基准进行了验证。