| Title:
|
The far-field modelling of transonic compressible flows (English) |
| Author:
|
Coclici, C. A. |
| Author:
|
Sofronov, I. L. |
| Author:
|
Wendland, W. L. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
126 |
| Issue:
|
2 |
| Year:
|
2001 |
| Pages:
|
293-305 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present a method for the construction of artificial far-field boundary conditions for two- and three-dimensional exterior compressible viscous flows in aerodynamics. Since at some distance to the surrounded body (e.g. aeroplane, wing section, etc.) the convective forces are strongly dominant over the viscous ones, the viscosity effects are neglected there and the flow is assumed to be inviscid. Accordingly, we consider two different model zones leading to a decomposition of the original flow field into a bounded computational domain (near field) and a complementary outer region (far field). The governing equations as e.g. compressible Navier-Stokes equations are used in the near field, whereas the inviscid far field is modelled by Euler equations linearized about the free-stream flow. By treating the linear model analytically and numerically, we get artificial far-field boundary conditions for the (nonlinear) interior problem. In the two-dimensional case, the linearized Euler model can be handled by using complex analysis. Here, we present a heterogeneous coupling of the above-mentioned models and show some results for the flow around the NACA0012 airfoil. Potential theory is used for the three-dimensional case, leading also to non-local artificial far-field boundary conditions. (English) |
| Keyword:
|
artificial boundary and transmission conditions |
| Keyword:
|
compressible transonic flow |
| Keyword:
|
linearized Euler equations |
| Keyword:
|
integral equations with kernels of Cauchy type |
| Keyword:
|
potential theory |
| Keyword:
|
domain decomposition |
| MSC:
|
35M20 |
| MSC:
|
35Q30 |
| MSC:
|
35Q35 |
| MSC:
|
45E05 |
| MSC:
|
65M55 |
| MSC:
|
76G25 |
| MSC:
|
76H05 |
| MSC:
|
76M25 |
| MSC:
|
76M40 |
| MSC:
|
76N17 |
| MSC:
|
76N20 |
| idZBL:
|
Zbl 0980.35132 |
| idMR:
|
MR1844270 |
| DOI:
|
10.21136/MB.2001.134026 |
| . |
| Date available:
|
2009-09-24T21:50:45Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134026 |
| . |
| Reference:
|
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| Reference:
|
[2] C. A. Coclici, I. L. Sofronov, W. L. Wendland: Far-field boundary conditions for 2D compressible viscous flows.In Numerical Modelling in Continuum Mechanics, M. Feistauer et al. (eds.) vol. 1, Matfyzpress Univerzita Karlova Praha, 1997, pp. 212–220. |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
[13] I. L. Sofronov: Coupling of potential and Euler equations to describe far field in 3D transonic flows.Book of Abstracts of the 2nd Seminar on Euler and Navier-Stokes Equations held in Prague, 1996, pp. 69–70. |
| Reference:
|
[14] I. L. Sofronov, W. L. Wendland: Exact linear far-field conditions for three-dimensional aerodynamic stationary transonic flows.Preprint 99–16, Math. Inst. A, University of Stuttgart (1999). MR 1855901 |
| Reference:
|
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