On Solutions to Problems of Bottom Deformations with Allowance for Their Self-Similarity

作     者：Petrov, A.G. Potapov, I.I. Epikhin, A.S. 

作者机构：Ishlinsky Institute for Problems of Mechanics Russian Academy of Sciences Moscow Russia Khabarovsk Federal Research Center Computing Center Far East Branch of the Russian Academy of Sciences Khabarovsk Russia Ivannikov Institute for System Programming Russian Academy of Sciences Moscow Russia 

出 版 物：《Power Technology and Engineering》 (Power Technol. Eng.)

年 卷 期：2024年第58卷第4期

页      面：611-616页

核心收录：

学科分类：0709[理学-地质学] 08[工学] 0815[工学-水利工程] 0814[工学-土木工程] 

主　　题：Miocene 

摘      要：A method for establishing a self-similar dependence of the bottom surface on time and spatial coordinate is proposed. The mean bottom tangential stresses are determined for a series of self-similar shapes of the bottom to then calculate the rates of change in the lengths and amplitudes of the bottom waves. Comparison with experimental data and numerical solutions shows that the error of the solution does not exceed several percent and that the computation time is shorter by a factor of 25 to 30 than that of conventional evolutionary computation. © Springer Science+Business Media, LLC, part of Springer Nature 2025.