Geodesic
Methods of related simulation of one-dimensional and three-dimensional problems of computational fluid dynamics
Matematičeskoe modelirovanie, Tome 31 (2019) no. 12, pp. 3-20

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In this study the method is presented for coupled 1D-3D modeling of computational fluid dynamics problems. The method is based on the simultaneous calculation of threedimensional and one-dimensional areas and the organization of communication between the two parts of the task by transferring boundary conditions. The domain in the threedimensional 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.
Keywords: one-dimensional model, three-dimensional model, numerical simulation, Navier–Stokes equations, conservation laws, hydraulic calculation, FlowDesigner program, LOGOS software package. 
@article{MM_2019_31_12_a0,
     author = {A. V. Yalozo and A. S. Kozelkov and A. A. Kurkin and V. V. Kurulin and I. L. Materova and D. A. Utkin},
     title = {Methods of related simulation of one-dimensional and three-dimensional problems of computational fluid dynamics},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--20},
     publisher = {mathdoc},
     volume = {31},
     number = {12},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2019_31_12_a0/}
}
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A. V. Yalozo; A. S. Kozelkov; A. A. Kurkin; V. V. Kurulin; I. L. Materova; D. A. Utkin. Methods of related simulation of one-dimensional and three-dimensional problems of computational fluid dynamics. Matematičeskoe modelirovanie, Tome 31 (2019) no. 12, pp. 3-20. http://geodesic.mathdoc.fr/item/MM_2019_31_12_a0/