Abstract
The linear stability analysis of the unfactored upwind relaxationsweeping (URS) algorithm for 3D flow field calculations has been carried out and it is shown that the URS algorithm is unconditionally stable. The algorithm is independent of the global sweeping direction selection. However, choosing the direction with relatively low variable gradient as the global sweeping direction results in a higher degree of stability. Three-dimensional compressible Euler equations are solved by using the implicit URS algorithm to study internal flows of a non-axisymmetric nozzle with a circular-to-rectangular transition duct and complex shock wave structures for a 3D channel flow. The efficiency and robustness of the URS algorithm has been demonstrated.
| Original language | English |
|---|---|
| Pages (from-to) | 425-433 |
| Number of pages | 9 |
| Journal | Journal of Computational Physics |
| Volume | 125 |
| Issue number | 2 |
| DOIs | |
| State | Published - May 1 1996 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Computer Science Applications
- Physics and Astronomy(all)
Cite this
Numerical study of three-dimensional flows using unfactored upwind-relaxation sweeping algorithm. / Zha, GeCheng; Bilgen, E.
In: Journal of Computational Physics, Vol. 125, No. 2, 01.05.1996, p. 425-433.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Numerical study of three-dimensional flows using unfactored upwind-relaxation sweeping algorithm
AU - Zha, GeCheng
AU - Bilgen, E.
PY - 1996/5/1
Y1 - 1996/5/1
N2 - The linear stability analysis of the unfactored upwind relaxationsweeping (URS) algorithm for 3D flow field calculations has been carried out and it is shown that the URS algorithm is unconditionally stable. The algorithm is independent of the global sweeping direction selection. However, choosing the direction with relatively low variable gradient as the global sweeping direction results in a higher degree of stability. Three-dimensional compressible Euler equations are solved by using the implicit URS algorithm to study internal flows of a non-axisymmetric nozzle with a circular-to-rectangular transition duct and complex shock wave structures for a 3D channel flow. The efficiency and robustness of the URS algorithm has been demonstrated.
AB - The linear stability analysis of the unfactored upwind relaxationsweeping (URS) algorithm for 3D flow field calculations has been carried out and it is shown that the URS algorithm is unconditionally stable. The algorithm is independent of the global sweeping direction selection. However, choosing the direction with relatively low variable gradient as the global sweeping direction results in a higher degree of stability. Three-dimensional compressible Euler equations are solved by using the implicit URS algorithm to study internal flows of a non-axisymmetric nozzle with a circular-to-rectangular transition duct and complex shock wave structures for a 3D channel flow. The efficiency and robustness of the URS algorithm has been demonstrated.
UR - http://www.scopus.com/inward/record.url?scp=0030139233&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030139233&partnerID=8YFLogxK
U2 - 10.1006/jcph.1996.0104
DO - 10.1006/jcph.1996.0104
M3 - Article
AN - SCOPUS:0030139233
VL - 125
SP - 425
EP - 433
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
IS - 2
ER -