«Mathematical modeling of geophysical processes: direct and inverse problems»
The seminar is devoted to the consideration of various aspects of mathematical modeling of physical processes in the atmosphere, hydrosphere and active layer of land, associated with solving problems arising in the study of the problems of climate change and the natural environment.
Seminar Organizing Committee
| Leaders: |
Doctor of Physics and Mathematics A.V. Glazunov (Marchuk Institute of Numerical Mathematics of RAS) Doctor of Physics and Mathematics I.A. Repina (A.M. Obukhov Institute of Atmospheric Physics of RAS) Doctor of Physics and Mathematics V.M. Stepanenko (RCC MSU, Geographical Faculty of Moscow State University) |
| Secretary: |
Yu.I. Yarynich (RCC MSU, A.M. Obukhov Institute of Atmospheric Physics of RAS). |
PROGRAM
17:15
| Belikov Vitaly V. | Institute of Water Problems of the Russian Academy of Sciences |
Development of the arbitrary discontinuity decay method for shallow water equations: historical overview, current status, and practical applications.
A new algorithm for solving the Riemann problem (the decay of an arbitrary discontinuity) for shallow water equations over a bottom jump has been developed. A hypothesis about physically feasible solutions is proposed, and the existence and uniqueness of a solution to the problem are proven based on this hypothesis. All possible flow configurations are constructed, and a method for correctly selecting a solution at bifurcation points of flow regimes is demonstrated. The practical value of this line of work lies in the emerging possibility of applying a new exact solver for the Riemann problem to numerical methods (such as Godunov's). It is shown that the numerical algorithm based on the new Riemann solver is more accurate than traditional approaches when modeling flows with complex bottom topography. The developed solver is integrated into the STREAM 2D CUDA software package and has been tested in modeling a number of applied problems.
The results were published in the articles
- Aleksyuk et al., J. Comp. Phys., 2022 (WoS, Q1)
- Aleksyuk, Belikov, J. Comp. Phys., 2019 (WoS, Q1)
- Aleksyuk, Belikov, Comput. Math. Math. Phys., 2017 (WoS, Q2)
- monographs [Belikov, Aleksyuk, M.: RAS, 2020
The seminar also will be held in the form of a webinar on the Zoom platform.
Topic: семинар "Математическое моделирование геофизических процессов: прямые и обратные задачи".
Time: Mar 26, 2026 05:15 PM Moscow (GMT+3)
Join Zoom Meeting (Meeting ID: 876 9290 1672, Passcode: 308731)
Video recordings of the seminar are available on our youtube channel.
For communication on all issues related to the work of the seminar, please contact the academic secretary Yuliya Yarynich at julia.yarinich@srcc.msu.ru