Name
Title | ||
|---|---|---|
Stable coupling between vector and scalar variables for the IDO scheme on collocated grids |
Abstract | ||
|---|---|---|
The Interpolated Differential Operator (IDO) scheme on collocated grids provides fourth-order discretizations for all the terms of the fluid flow equations. However, computations of fluid flows on collocated grids are not guaranteed to produce accurate solutions because of the poor coupling between velocity vector and scalar variables. A stable coupling method for the IDO scheme on collocated grids is proposed, where a new representation of first-order derivatives is adopted. It is important in deriving the representation to refer to the variables at neighboring grid points, keeping fourth-order truncation error. It is clear that accuracy and stability are drastically improved for shallow water equations in comparison with the conventional IDO scheme. The effects of the stable coupling are confirmed in incompressible flow calculations for DNS of turbulence and a driven cavity problem. The introduction of a rational function into the proposed method makes it possible to calculate shock waves with the initial conditions of extreme density and pressure jumps. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.jcp.2005.10.015 | J. Comput. Physics |
Keywords | Field | DocType |
stable coupling,computational fluid dynamics,02.70.rw,numerical stability,fourth-order discretizations,ido scheme,fluid flow,poor coupling,collocated grid,numerical coupling,stable coupling method,higher-order accuracy,conventional ido scheme,fluid flow equation,02.60.−x,02.60.cb,scalar variable,fourth-order truncation error,fluid dynamics,differential operators,truncation error,initial condition,shallow water equation,higher order,first order,grid computing,shock wave,incompressible flow,rational function | Truncation error,Mathematical analysis,Scalar (physics),Fluid dynamics,Computational fluid dynamics,Incompressible flow,Grid,Mathematics,Shallow water equations,Numerical stability | Journal |
Volume | Issue | ISSN |
215 | 1 | Journal of Computational Physics |
Citations | PageRank | References |
2 | 0.58 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yohsuke Imai | 1 | 12 | 2.80 |
| Takayuki Aoki | 2 | 188 | 17.87 |