A high-precision algorithm for axisymmetric flow

Mathematical Problems in Engineering

关键词: Axisymmetric flow;    orthogonal curvilinear coordinates;   

DOI  :  

来源: DOAJ

【 摘 要 】

We present a new algorithm for highly accurate computation of axisymmetric potential flow. The principal feature of the algorithm is the use of orthogonal curvilinear coordinates. These coordinates are used to write down the equations and to specify quadrilateral elements following the boundary. In particular, boundaryconditions for the Stokes' stream-function are satisfied exactly. The velocity field is determined by differentiating the stream-function. We avoid the use of quadratures in the evaluation of Galerkin integrals, and instead use splining of the boundaries of elements to take the double integrals of the shape functions in closed form. This is very accurate and not time consuming.

【 授权许可】

Unknown