Abstract
In this study, a matrix-free implicit dual time-stepping method has been developed. It is implemented, together with a low-Reynolds-number q-ω turbulence model, in a high-order upwind finite-volume solver on unstructured grids. Semi-implicit treatment of the source terms of the q and ω equations is also introduced to further stabilize the numerical solution. It has been found that these techniques provide strong stabilization in the computation of a supersonic flow with complex shock-boundary-layer interactions in a channel with a backward-facing step. The proposed method has a low-memory overhead, similar to an explicit scheme, while it shows good stability and computational efficiency as an implicit scheme. The method developed has been validated by comparing the computed results with the corresponding experimental measurements and other calculated results, which shows good agreement. Research is being done to extend the method to calculate unsteady turbulent flows.
| Original language | English |
|---|---|
| Pages (from-to) | 119-136 |
| Number of pages | 18 |
| Journal | Computers and Fluids |
| Volume | 33 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2004 |
| Externally published | Yes |
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Keywords
- Dual time-stepping scheme
- Implicit scheme
- Matrix-free method
- Turbulence modelling
- Unstructured grids
ASJC Scopus subject areas
- Computational Mechanics
- Mechanical Engineering
Cite this
Computation of complex turbulent flow using matrix-free implicit dual time-stepping scheme and LRN turbulence model on unstructured grids. / Zhao, Yong.
In: Computers and Fluids, Vol. 33, No. 1, 01.2004, p. 119-136.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Computation of complex turbulent flow using matrix-free implicit dual time-stepping scheme and LRN turbulence model on unstructured grids
AU - Zhao, Yong
PY - 2004/1
Y1 - 2004/1
N2 - In this study, a matrix-free implicit dual time-stepping method has been developed. It is implemented, together with a low-Reynolds-number q-ω turbulence model, in a high-order upwind finite-volume solver on unstructured grids. Semi-implicit treatment of the source terms of the q and ω equations is also introduced to further stabilize the numerical solution. It has been found that these techniques provide strong stabilization in the computation of a supersonic flow with complex shock-boundary-layer interactions in a channel with a backward-facing step. The proposed method has a low-memory overhead, similar to an explicit scheme, while it shows good stability and computational efficiency as an implicit scheme. The method developed has been validated by comparing the computed results with the corresponding experimental measurements and other calculated results, which shows good agreement. Research is being done to extend the method to calculate unsteady turbulent flows.
AB - In this study, a matrix-free implicit dual time-stepping method has been developed. It is implemented, together with a low-Reynolds-number q-ω turbulence model, in a high-order upwind finite-volume solver on unstructured grids. Semi-implicit treatment of the source terms of the q and ω equations is also introduced to further stabilize the numerical solution. It has been found that these techniques provide strong stabilization in the computation of a supersonic flow with complex shock-boundary-layer interactions in a channel with a backward-facing step. The proposed method has a low-memory overhead, similar to an explicit scheme, while it shows good stability and computational efficiency as an implicit scheme. The method developed has been validated by comparing the computed results with the corresponding experimental measurements and other calculated results, which shows good agreement. Research is being done to extend the method to calculate unsteady turbulent flows.
KW - Dual time-stepping scheme
KW - Implicit scheme
KW - Matrix-free method
KW - Turbulence modelling
KW - Unstructured grids
UR - http://www.scopus.com/inward/record.url?scp=0042843327&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0042843327&partnerID=8YFLogxK
U2 - 10.1016/S0045-7930(03)00031-8
DO - 10.1016/S0045-7930(03)00031-8
M3 - Article
AN - SCOPUS:0042843327
VL - 33
SP - 119
EP - 136
JO - Computers and Fluids
JF - Computers and Fluids
SN - 0045-7930
IS - 1
ER -