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利用格林函数方法数值求解不可压粘性流非线性问题的研究
STUDIES ON NUMERICALLY SOLVING NONLINEAR PROBLEMS OF VISCOUS INCOMPRESSIBLE FLOW USING GREEN’S FUNCTION METHOD
【摘要】 <正> 1.概述 本文对格林函数方法用以计算不可压粘性流非线性问题的能力进行了研究.该方法将定常运动的边值问题化为求解速度和边界应力的非线性积分方程,由于积分方程系完全精确推得,且在方程中可利用格林公式将速度、应力等物理量的微商转移为对基本解的微商,因而在数值计算中处理比较容易,且精度较高.
【Abstract】 Studies on numerically solving nonlinear problems of viscous incompressible flow using Green’s function method are presented in this paper. Computing results for cavity flows at Re = l to 180 are given and compared with finite difference and finite element methods, indicating the less number of iterations and the same accuracy obtained by using the less number of grids in this method.
- 【文献出处】 力学学报 ,Acta Mechanica Sinica , 编辑部邮箱 ,1986年05期
- 【被引频次】11
- 【下载频次】92