Numerical prediction of inner turbulent flow in conical diffuser by using a new five-point scheme and DLR k-ε turbulence model  

作　　者：蒋光彪 何永森 舒适 肖映雄 

机构地区：[1]College of Mathematics and Computational Science,Xiangtan University [2]Hunan Key Laboratory for Computation and Simulation in Science and Engineering,Xiangtan University

出　　处：《Journal of Central South University》2008年第S1期181-186,共6页中南大学学报（英文版）

基　　金：Projects(59375211,10771178,10676031) supported by the National Natural Science Foundation of China;Project(07A068) supported by the Key Project of Hunan Education Commission;Project(2005CB321702) supported by the National Key Basic Research Program of China

摘　　要：The internal turbulent flow in conical diffuser is a very complicated adverse pressure gradient flow.DLR k-ε turbulence model was adopted to study it.The every terms of the Laplace operator in DLR k-ε turbulence model and pressure Poisson equation were discretized by upwind difference scheme.A new full implicit difference scheme of 5-point was constructed by using finite volume method and finite difference method.A large sparse matrix with five diagonals was formed and was stored by three arrays of one dimension in a compressed mode.General iterative methods do not work wel1 with large sparse matrix.With algebraic multigrid method(AMG),linear algebraic system of equations was solved and the precision was set at 10-6.The computation results were compared with the experimental results.The results show that the computation results have a good agreement with the experiment data.The precision of computational results and numerical simulation efficiency are greatly improved.The internal turbulent flow in conical diffuser is a very complicated adverse pressure gradient flow.DLR k-ε turbulence model was adopted to study it.The every terms of the Laplace operator in DLR k-ε turbulence model and pressure Poisson equation were discretized by upwind difference scheme.A new full implicit difference scheme of 5-point was constructed by using finite volume method and finite difference method.A large sparse matrix with five diagonals was formed and was stored by three arrays of one dimension in a compressed mode.General iterative methods do not work wel1 with large sparse matrix.With algebraic multigrid method(AMG),linear algebraic system of equations was solved and the precision was set at 10-6.The computation results were compared with the experimental results.The results show that the computation results have a good agreement with the experiment data.The precision of computational results and numerical simulation efficiency are greatly improved.

关 键 词：conical DIFFUSER turbulent flow DLR k-ε turbulence model 5-point scheme ALGEBRAIC MULTIGRID method(AMG) 

分 类 号：O357.5[理学—流体力学]