|
| A characteristic-based four order Runge-Kutta finite element method for incompressible viscous flow |
| Received:December 01, 2017 Revised:February 24, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20171201001 |
| KeyWord:Navier-Stokes equation four order Runge-Kutta method convergence dissipation accuracy |
| Author | Institution |
| 廖绍凯 |
嘉兴学院 建筑工程学院, 嘉兴 ;河海大学 力学与材料学院, 南京 |
| 张研 |
河海大学 力学与材料学院, 南京 |
| 陈达 |
河海大学港口海岸与近海工程学院, 南京 |
|
| Hits: 1193 |
| Download times: 884 |
| Abstract: |
| For two-dimensional incompressible viscous flow,the two-dimensional Navier-Stokes(N-S)equation without convection term is derived by the coordinate transformation along the streamline direction.The explicit time discrete format is obtained via introducing the fourth order Runge-Kutta method and the Taylor expansion along the streamline direction,and then the space discretization format is carried out by the Galerkin method.Finally,a high precision finite element algorithm is obtained.This algorithm is applied to simulate flow in a cavity and flow around a circular cylinder.Through analyzing the effects of the different time step sizes,mesh sizes and flow field regions,the algorithm is further validated.Compared with the classical CBS method,it has more advantages in time step,characteristics of convergence and dissipation and accuracy. |
|
|
|