应用数学和力学2012，Vol.33Issue(11)：1352-1365,14.DOI:10.3879/j.issn.1000-0887.2012.11.010
正则化δ函数对浸入边界法精度的影响
Effect of the Regularized Delta Function on the Accuracy of the Immersed Boundary Method
摘要
Abstract
The immersed boundary method was an effective technique for modeling and simulating fluid-structure interactions especially in the area of biomechanics. The effect of the regularized delta function on its accuracy was an important subject in the property study. The method of manufactured solutions was taken as the research means. The computational code was firstly verified to be mistaken free by using smooth manufactured solutions. Then a jump in the manufactured solution for pressure was introduced to study the accuracy of the immersed boundary method. Four kinds of the regularized delta function were taken to test its effects on accuracy analysis. By analyzing the discretization errors, the accuracy of the immersed boundary method was proved to be first order. Meanwhile, the results showed that the regularized delta function could not improve the accuracy, but could change the discretization errors on the entire computational domain.关键词
浸入边界法/虚拟解法/正则化δ函数/精度阶Key words
immersed boundary method/ method of manufactured solutions/ regularized delta functions/ order of accuracy分类
数理科学引用本文复制引用
宫兆新,鲁传敬,黄华雄..正则化δ函数对浸入边界法精度的影响[J].应用数学和力学,2012,33(11):1352-1365,14.基金项目
国家自然科学基金资助项目(11102108) （11102108）
上海市重点学科建设基金资助项目(B206) （B206）
