|Prusov, VA |
|Dopov. Nac. akad. nauk Ukr. 2020, 3:10-18|
|Раздел: Information Science and Cybernetics|
Mathematical problems associated with the numerical solution of equations for the predictive models of regional atmospheric circulation are considered. A methodology is considered for effective regional solutions of boundary- value problems with a prehistory on the basis of the “one-way interaction” approach. Within this approach, a method is proposed for filling the data given on the macroscale grid nodes in the mesoscale network based on the spline interpolation and a precise (the fourth-order of accuracy) numerical method for the approximation of the first- and second-order derivatives in differential equations. Thereby, solving problems for ordinary differential equations can be carried out effectively by the interpolation.
|Ключевые слова: differential equations, interpolation, mesoscale weather forecasting|
1. Asselin, R. (1972). Integration of a semi-implicit model with time-dependent boundary conditions. Atmosphere, 10, pp. 44-55. Doi: https://doi.org/10.1080/00046973.1972.9648331
2. Davies, H. C. (1976). A lateral boundary formulation for multi-level prediction models. Quart. J. Roy. Meteorol. Soc., 102, pp. 405-418. Doi: https://doi.org/10.1002/qj.49710243210
3. Doroshenko, A. Yu. & Prusov, V. A. (2005). Methods of efficient modeling and forecasting regional atmospheric processes. In Advances in Air Pollution Modeling for Environmental Security (pp. 143-152). NATO Science Series, Vol. 54. Dordrecht: Springer. Doi: https://doi.org/10.1007/1-4020-3351-6_13
4. Prusov, V. A. & Doroshenko, A. Yu. (2006). Modeling natural and technogenic atmospheric processes. Kyiv: Naukova Dumka (in Ukrainian).
5. Miyakoda, K. & Rosati, A. (1977). One-way nested grid models: The interface condition and the numerical accuracy. Mon. Weather. Rev., 105, pp. 1092-1107. Doi: https://doi.org/10.1175/1520-0493(1977)105<1092:OWNGMT>2.0.CO;2
6. Manabe, S. (Ed.). (1985). Issues in atmospheric and oceanic modeling. Part A and Part B. Orlando: Academic Press.
7. Prusov, V. & Doroshenko, A. (2018). Computational techniques for modeling atmospheric processes. Hershey, PA, USA: IGI Global. Doi: https://doi.org/10.4018/978-1-5225-2636-0
8. Doroshenko, A., Ivanenko, P., Ovdii, O. & Yatsenko, O. (2016). Automated program design – an example solving a weather forecasting problem. Open Physics, 14, Iss. 1, pp. 410-419. Doi: https://doi.org/10.1515/phys-2016-0048