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A method for calculating two-dimensional non-stationary problems of gas dynamics on a deformable grid using the CABARET scheme
| Title | A method for calculating two-dimensional non-stationary problems of gas dynamics on a deformable grid using the CABARET scheme |
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| Authors | A. A. Belyaeva1, V. M. Goloviznin2, Y. N. Deryugin1 1Branch of Lomonosov Moscow State University in Sarov 2Lomonosov Moscow State University |
| Annotation | One of the urgent tasks of computational fluid dynamics is the modeling of gas-dynamic flows in areas whose boundaries change during the solution process. In such problems, as a rule, the use of higher-order approximation schemes is associated with certain difficulties. One of the ways to overcome these difficulties is to use the CABARET scheme, which also has good dispersion-dissipative properties, which provides an accurate and stable solution to systems of hyperbolic equations. The paper describes the developed algorithm and its specific implementation, as well as considers the application of the CABARET method for SEL methods. |
| Keywords | CABARET scheme, deformable grid, Fortran, OpenMP, two-dimensional statement, gas dynamics. |
| Citation | Belyaeva A. A., Goloviznin V. M., Deryugin Y. N. ''A method for calculating two-dimensional non-stationary problems of gas dynamics on a deformable grid using the CABARET scheme'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 29-32. Available at: https://conf.svmo.ru/files/2026/papers/paper67.pdf. - Date of access: 25.09.2026. |
© SVMO, National Research Mordovia State University, 2026
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