Abstract
Ice accretion simulation on aircraft profiles during their flight in an air stream containing supercooled water droplets is an extremely important task for flight safety, since the form of accreted ice significantly affects flight characteristics. In one of the models for solving the problem, the shallow-water icing model (SWIM), the problem of solving nonlinear equations with one variable plays a central role in numerical simulation. Since this problem occupies the overwhelming majority of calculations time, the question of choosing the optimal method for solving nonlinear equations and optimizing these methods becomes especially acute. This article describes the analysis of the use of various methods for solving nonlinear equations in the implementation of the SWIM solver, taking into account the features of the equations being solved, which led to a significant acceleration of the computational codes when performing calculations on JSCC RAS supercomputers.
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Funding
The work has been done at the JSCC RAS as part of the state assignment for the topic 0580-2021-0016. The supercomputer MVS-10P OP, located at the JSCC RAS, was used during the research.
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(Submitted by A. M. Elizarov)
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Bagrov, A.D., Rybakov, A.A. Selection of a Method for Solving Nonlinear Equations in Shallow-Water Icing Model Implementation. Lobachevskii J Math 42, 2503–2509 (2021). https://doi.org/10.1134/S1995080221110068
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DOI: https://doi.org/10.1134/S1995080221110068