中文摘要：

传统浸没边界法在边界附近只有一阶精度,而高精度的改进方法都需要额外引入跳跃条件,因此不具备普适性.文中设计了一种基于过滤和反卷积的新型算法,既在一定程度上提高了精度,又避免了以往方法中引入额外跳跃条件的难题.通过一个简单的一维算例验证了新算法可以达到接近二阶精度,其具体的精度值与反卷积步骤中选取的逆核函数在积分域边界的连续性有关.

英文摘要：

The traditional immersed boundary method has only first-order accuracy near boundary.Existing improvements need additional jump conditions thus are not general.A novel method based on filter and deconvolution was introduced.It improved the accuracy,and avoided the problems of jump conditions.A simple 1-D case was performed to proove that the accuracy was nearly second order.It is found that the exact order value depends on the boundary continuity of the inverse kernel function chosen in deconvolution.