Parallel Computation of Incompressible Flow Using Building-Cube Method

The past CFD progress has been highly supported by the improvement of computer performance. Moor’s Law tells us that the degree of integration of computer chips has been doubled in 18 months. It means that the computer performance increases by a factor of 100 every 10 years. The latest Top500 Supercomputers Site [1] on the other hand, tells us that the performance improved to 1,000 times in the last 10 years. Increase in the number of CPUs in a system also contributes to this rapid progress. With the progress of the computer performance, a pre-processing becomes more important in a series of numerical analysis. For instance, structured mesh or unstructured mesh generation demands human skill for complex geometries in particular. Quick and easy grid generation is one of the tasks for next generation CFD. In solving complex flow-field, a higher-order scheme is significant as same as the mesh resolution. The algorithm has to be simple, and that leads to high scalability. It becomes considerable to maintain and update the software, too. Thus, there are many requests for next generation numerical method.

[1]  Kazuhiro Nakahashi,et al.  High-Density Mesh Flow Computations with Pre-/Post-Data Compressions , 2005 .

[2]  Kazuhiro Nakahashi,et al.  Three-Dimensional Flow Computations around an Airfoil by Building-Cube Method , 2006 .

[3]  Takanobu Ogawa Development of a flow solver using the adaptive Cartesian mesh algorithm for wind environment assessment , 1999 .

[4]  B. Fornberg A numerical study of steady viscous flow past a circular cylinder , 1980, Journal of Fluid Mechanics.

[5]  S. Dennis,et al.  Numerical solutions for steady flow past a circular cylinder at Reynolds numbers up to 100 , 1970, Journal of Fluid Mechanics.

[6]  M. Aftosmis Solution adaptive cartesian grid methods for aerodynamic flows with complex geometries , 1997 .

[7]  M. Linnick A high-order immersed boundary method for unsteady incompressible flow calculations , 2003 .

[8]  Antony Jameson,et al.  A new implicit algorithm with multigrid for unsteady incompressible flow calculations , 1995 .

[9]  D. Tritton Experiments on the flow past a circular cylinder at low Reynolds numbers , 1959, Journal of Fluid Mechanics.

[10]  Toshihiro Kamatsuchi,et al.  Turbulent Flow Simulation around Complex Geometries with Cartesian Grid Method , 2007 .

[11]  K. Kuwahara,et al.  Computation of high Reynolds number flow around a circular cylinder with surface roughness , 1984 .

[12]  Chaoqun Liu,et al.  Preconditioned Multigrid Methods for Unsteady Incompressible Flows , 1997 .

[13]  R. Bouard,et al.  Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part 1. Steady flow , 1977, Journal of Fluid Mechanics.