Effect of regularized delta function on accuracy of immersed boundary method  

作　　者：宫兆新 鲁传敬 黄华雄 

机构地区：[1]Department of Engineering Mechanics,Shanghai Jiao Tong University [2]MOE Key Laboratory of Hydrodynamics [3]Department of Mathematics and Statistics,York University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2012年第11期1453-1466,共14页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 11102108);the Shanghai Leading Academic Discipline Project (No. B206)

摘　　要：The immersed boundary method is an effective technique for modeling and simulating fluid-structure interactions especially in the area of biomechanics. The effect of the regularized delta function on the accuracy is an important subject in the property study. A method of manufactured solutions is used in the research. The computational code is first verified to be mistake-free by using smooth manufactured solutions. Then, a jump in the manufactured solution for pressure is introduced to study the accuracy of the immersed boundary method. Four kinds of regularized delta functions are used to test the effect on the accuracy analysis. By analyzing the discretization errors, the accuracy of the immersed boundary method is proved to be first-order. The results show that the regularized delta function cannot improve the accuracy, but it can change the discretization errors in the entire computational domain.The immersed boundary method is an effective technique for modeling and simulating fluid-structure interactions especially in the area of biomechanics. The effect of the regularized delta function on the accuracy is an important subject in the property study. A method of manufactured solutions is used in the research. The computational code is first verified to be mistake-free by using smooth manufactured solutions. Then, a jump in the manufactured solution for pressure is introduced to study the accuracy of the immersed boundary method. Four kinds of regularized delta functions are used to test the effect on the accuracy analysis. By analyzing the discretization errors, the accuracy of the immersed boundary method is proved to be first-order. The results show that the regularized delta function cannot improve the accuracy, but it can change the discretization errors in the entire computational domain.

关 键 词：immersed boundary method method of manufactured solutions regularizeddelta function order of accuracy 

分 类 号：O357.1[理学—流体力学]