Name
Title | ||
|---|---|---|
Conservative form of interpolated differential operator scheme for compressible and incompressible fluid dynamics |
Abstract | ||
|---|---|---|
The proposed scheme, which is a conservative form of the interpolated differential operator scheme (IDO-CF), can provide high accurate solutions for both compressible and incompressible fluid equations. Spatial discretizations with fourth-order accuracy are derived from interpolation functions locally constructed by both cell-integrated values and point values. These values are coupled and time-integrated by solving fluid equations in the flux forms for the cell-integrated values and in the derivative forms for the point values. The IDO-CF scheme exactly conserves mass, momentum, and energy, retaining the high resolution more than the non-conservative form of the IDO scheme. A direct numerical simulation of turbulence is carried out with comparable accuracy to that of spectral methods. Benchmark tests of Riemann problems and lid-driven cavity flows show that the IDO-CF scheme is immensely promising in compressible and incompressible fluid dynamics studies. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.jcp.2007.11.031 | J. Comput. Physics |
Keywords | Field | DocType |
high resolution,computational fluid dynamics,conservative form,comparable accuracy,incompressible fluid equation,fluid equation,ido scheme,incompressible fluid dynamics study,02.70.−c,02.60.−x,02.60.cb,ido-cf scheme,point value,proposed scheme,interpolated differential operator scheme,cell-integrated value,direct numerical simulation,spectral method,riemann problem,incompressible fluid,differential operators | Compressibility,Direct numerical simulation,Mathematical optimization,Mathematical analysis,Differential operator,Godunov's scheme,Momentum,Spectral method,Computational fluid dynamics,Pressure-correction method,Mathematics | Journal |
Volume | Issue | ISSN |
227 | 4 | Journal of Computational Physics |
Citations | PageRank | References |
7 | 0.90 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yohsuke Imai | 1 | 12 | 2.80 |
| Takayuki Aoki | 2 | 188 | 17.87 |
| Kenji Takizawa | 3 | 7 | 2.59 |