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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2025 Volume 65, Number 11, Pages 1943–1954 (Mi zvmmf12093)

Mathematical physics

Application of a global adaptive velocity space grid for reducing oscillations caused by the “ray effect”

A. A. Frolova

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow

Abstract: The occurrence of oscillations in the numerical solution of unsteady rarefied gas flow problems with discontinuous boundary conditions using the discrete velocity method is a problem known in the literature as the “ray effect”. This effect is a significant obstacle in the numerical integration of kinetic equations under strong non-equilibrium conditions with low collision frequency. The application of global adaptation in velocity space allows in many cases to reduce oscillations in macroparameters. The results of using this algorithm are demonstrated by solving a two-dimensional evaporation problem during laser-matter interaction.

Key words: velocity space adaptation, “ray effect”, discrete velocity method.

UDC: 533.6.011.8

Received: 26.06.2025
Revised: 14.07.2025
Accepted: 20.08.2025

DOI: 10.7868/S3034533225110148


 English version:
Computational Mathematics and Mathematical Physics, 2025, 65:11, 2726–2737

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© Steklov Math. Inst. of RAS, 2026