【摘要】 提出了一种投影-形函数插值的新方法,用发展了三维线性插值方法。又包括使用优化插值和常体积转化等6种插值方法,从表征多种不同网格质量和待插值函数值情况的角度,进行了插值精度验证的应用研究,探索了网格质量和待插值函数值对插值精度的影响程度。研究结果表明,投影-形函数插值方法的效果很好;流/固的网格质量及其匹配状况在很多情况下对插值精度的影响要远大于插值方法本身。更多还原

【Abstract】 Projection-shape function,a new idear of interpolation method,was put forward,and three-dimensional linear interpolation method was also developed.Six kinds of interpolation methods,including the above two,optimal interpolation,constant volume transformation method and so on,was to be applied to the study of interpolation accuracy.In a new point of view about the characterizations of different grids′ quality situations and interpolation functions,the effect of mesh quality and interpolation functions to the interpolation accuracy was explored.The results showed that interpolation method of projection-shape function performed very well.The quality of grids,composed of structure,fluid and matching condition of the two,deeply impacted the interpolation accuracy,and the effects were much larger than the method itself in many situations.更多还原