Vortex-Source Method for the 3D Incompressible Irrotational Flow

作     者：Serge V. Chemyshenko Mykola Yas'ko 

作者机构：Institute of Economic and Administrative Computer Science Koblenz-Landau University Koblenz 56070 Germany Department of Applied Mathematics Dnipropetrovs 'k National University Dnipropetrovs 'k 49005 Ukraine 

出 版 物：《Journal of Mathematics and System Science》 (数学和系统科学（英文版）)

年 卷 期：2012年第2卷第5期

页      面：315-319页

学科分类：080701[工学-工程热物理] 080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Boundary integral equation method of weighted residuals fundamental solution solenoidal vector field boundaryelement method. 

摘      要：The weighted residuals method was used for obtaining the boundary integral representation of the velocity of the three-dimensional inviscid irrotational flow. It is shown that velocity in an arbitrary point of domain can be expressed through its values on the boundary. Boundary integral equations of the second kind for solving boundary-valued problems of the first and second kinds are developed. The result has been also generalised to the case of solenoidal vector fields with potential vorticity. It is shown that the resulting integral equations are Fredholm integral equations of the second kind and allow effective numerical solving of corresponding boundary-valued problems. Examples of numerical solutions for a sphere and an ellipsoid are given for demonstration of efficiency of the offered method.