Based on the idea of subordinate meshes , we bring forward a new method of weighted volume which is used for constructing linear interpolation polynomials . besides , according to the eno interpolation on unstructured grids , a class of linear interpolation polynomial is developed on irregular quadrilateral grids and allows very small oscillation . program in fortran is given for a remapping algorithm developed by caiqingdong 另外,根據(jù)非結(jié)構(gòu)網(wǎng)格的eno插值的思想,構(gòu)造了四邊形網(wǎng)格網(wǎng)眼內(nèi)的線性插值多項式,由于利用其插值點(diǎn)自適應(yīng)選取的特性,在物理量變化劇烈區(qū)域選取最光滑區(qū)域的點(diǎn)來插值,雖然不能保持單調(diào)性,但只允許出現(xiàn)非常小的振蕩。
In this method , the interpolation polynomial is related to several cells nearby , so the body surface is smooth , the potential function and its derivative is uninterrupted on the whole surface . moreover , because the interpolation based on b - spline is very accurate , it can enhance the efficiency of calculation and make a good numerical result by coarse gridding 在這種基于b樣條的面元法中,由于插值多項式涉及附近的幾個單元,而不像一般的面元法只限制在一個單元內(nèi),因此物體表面是光滑的,速度勢函數(shù)及其導(dǎo)數(shù)由于采用樣條函數(shù)表達(dá),在整個物體表面也是連續(xù)的。