Autowave model of megacities development

Author:

Sidorova Alla EduardovnaORCID,Levashova Natalia TimurovnaORCID

Abstract

The model of spatio-temporal self-organization of megacities as conjugate active environments – anthropogenic and natural subsystems – is considered. An analytical and numerical study of stationary solutions of the system is presented. The model allows us to identify threshold values of control (anthropogenic and natural) parameters and the basic principles of the development of autowave processes that form the spatiotemporal structures of megacities. The model is confirmed by statistical and cartographic data on the development of Moscow from 1952 to 1968. Forecast models for the development of New Moscow and Shanghai from 2017 to 2030 are considered. Numerical studies were carried out using the author’s program in C++, which allows you to create text files based on cartographic data. The code was created in the OpenCL environment and implemented using AMD FIREPRO GPUs. Graphic interpretation was carried out using the “Surfer” program.

Publisher

Keldysh Institute of Applied Mathematics

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