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| Compact finite difference - Fourier spectral method for three-dimensional incompressible Navier-Stokes equations | |
Xiong ZM(熊忠民); Ling GC(凌国灿) ; Xiong, ZM (reprint author), CHINESE ACAD SCI,INST MECH,LNM,BEIJING 100080,PEOPLES R CHINA.
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| Source Publication | Acta Mechanica Sinica
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| 1996 | |
| Volume | 12Issue:4Pages:296-306 |
| ISSN | 0567-7718 |
| Abstract | A new compact finite difference-Fourier spectral hybrid method for solving the three dimensional incompressible Navier-Stokes equations is developed in the present paper. The fifth-order upwind compact finite difference schemes for the nonlinear convection terms in the physical space, and the sixth-order center compact schemes for the derivatives in spectral space are described, respectively. The fourth-order compact schemes in a single nine-point cell for solving the Helmholtz equations satisfied by the velocities and pressure in spectral space is derived and its preconditioned conjugate gradient iteration method is studied. The treatment of pressure boundary conditions and the three dimensional non-reflecting outflow boundary conditions are presented. Application to the vortex dislocation evolution in a three dimensional wake is also reported. |
| Keyword | Compact Finite Difference Fourier Spectral Method Numerical Simulation Vortex Dislocation Low Reynolds-number Wake Simulation Turbulence Cylinder Flows Layer |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:A1996VZ54400002 |
| WOS Keyword | LOW REYNOLDS-NUMBER ; WAKE ; SIMULATION ; TURBULENCE ; CYLINDER ; FLOWS ; LAYER |
| WOS Research Area | Engineering ; Mechanics |
| WOS Subject | Engineering, Mechanical ; Mechanics |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/39074 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | Xiong, ZM (reprint author), CHINESE ACAD SCI,INST MECH,LNM,BEIJING 100080,PEOPLES R CHINA. |
| Recommended Citation GB/T 7714 | Xiong ZM,Ling GC,Xiong, ZM . Compact finite difference - Fourier spectral method for three-dimensional incompressible Navier-Stokes equations[J]. Acta Mechanica Sinica,1996,12,4,:296-306. |
| APA | 熊忠民,凌国灿,&Xiong, ZM .(1996).Compact finite difference - Fourier spectral method for three-dimensional incompressible Navier-Stokes equations.Acta Mechanica Sinica,12(4),296-306. |
| MLA | 熊忠民,et al."Compact finite difference - Fourier spectral method for three-dimensional incompressible Navier-Stokes equations".Acta Mechanica Sinica 12.4(1996):296-306. |
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