In this paper,a newly developed second order temporally and spatially accurate finite difference scheme for biharmonic semi linear equations has been employed in simulating the time evolution of viscous flows past an ...In this paper,a newly developed second order temporally and spatially accurate finite difference scheme for biharmonic semi linear equations has been employed in simulating the time evolution of viscous flows past an impulsively started circular cylinder for Reynolds number(Re)up to 9,500.The robustness of the scheme and the effectiveness of the formulation can be gauged by the fact that it very accurately captures complex flow structures such as the von Kármán vortex street through streakline simulation and the a and b-phenomena in the range 3,000≤Re≤9,500 among others.The main focus here is the application of the technique which enables the use of the discretized version of a single semi linear biharmonic equation in order to efficiently simulate different fluid structures associated with flows around a bluff body.We compare our results,both qualitatively and quantitatively,with established numerical and more so with experimental results.Excellent comparison is obtained in all the cases.展开更多
基金The first author would like to express his thanks to the DST,India for supporting his research work under Project No.SR/S4/MS:468/07The second author is thankful to the University Grants Commission,India for supporting a part of the work by providing financial support in the form of a minor project(Project No.F.No.37-537/2009(SR)).
文摘In this paper,a newly developed second order temporally and spatially accurate finite difference scheme for biharmonic semi linear equations has been employed in simulating the time evolution of viscous flows past an impulsively started circular cylinder for Reynolds number(Re)up to 9,500.The robustness of the scheme and the effectiveness of the formulation can be gauged by the fact that it very accurately captures complex flow structures such as the von Kármán vortex street through streakline simulation and the a and b-phenomena in the range 3,000≤Re≤9,500 among others.The main focus here is the application of the technique which enables the use of the discretized version of a single semi linear biharmonic equation in order to efficiently simulate different fluid structures associated with flows around a bluff body.We compare our results,both qualitatively and quantitatively,with established numerical and more so with experimental results.Excellent comparison is obtained in all the cases.
