Methods of related simulation of one-dimensional and three-dimensional problems of computational fluid dynamics. (Russian. English translation) Zbl 1446.76146
Mat. Model. 31, No. 12, 3-20 (2019); translation in Math. Models Comput. Simul. 12, No. 4, 536-545 (2020).
Summary: In this study a method is presented for coupled 1D-3D modeling of computational fluid dynamics problems. The method is based on the simultaneous calculation of three-dimensional and one-dimensional areas and the organization of communication between the two parts of the task by transferring boundary conditions. The domain in the three-dimensional approximation is modeled based on the solution of the full Navier-Stokes equations. The calculation of one-dimensional areas is based on the use of basic conservation laws and empirical characteristics of elements. The correctness of the proposed solutions is checked on several problems. For all tasks, the obtained results are compared with available analytical solutions or experimental data.
MSC:
| 76M60 | Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics |
| 76N06 | Compressible Navier-Stokes equations |
Keywords:
Navier-Stokes equations; conservation law; hydraulic calculation; flow design program; LOGOS software packageSoftware:
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