中文摘要：

为保证重映过程的高守恒精度和单调性，并且在间断处具有极高的分辨率，基于径向基函数（RBF）插值法构造了一类适用于任意网格的RBF守恒重映算法，通过计算守恒误差测试重映算法的守恒精度。将该方法用于光滑函数和含有间断的函数，并与其它守恒重映方法比较，表明该方法数值结果较好。

英文摘要：

In order to ensure conservative precision and monotonicity of a remapping algorithm and discontinuity with high resolution, a new kind of conservative RBF remapping algorithm is developed based on radial based function interpolation. Conservative precision is tested with a conservative error remapping algorithm. Numerical results are obtained for smooth and discontinuous functions. Compared with other remapping methods, the method gives good numerical results.