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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 11, Pages 1948–1960
DOI: https://doi.org/10.1134/S0044466919110085 (Mi zvmmf10984) 		 
A numerical third-order method for solving the Navier–Stokes equations with respect to time

V. G. Krupa

Baranov Central Institute of Aviation Motor Development, Moscow, 111116 Russia
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DOI: https://doi.org/10.1134/S0044466919110085
Abstract: A linearly implicit (Rosenbrock-type) numerical method for the integration of three-dimensional Navier–Stokes equations for compressible fluid with respect to time is proposed. The method has four stages and third order of accuracy with respect to time. As the benchmark, the Cauchy problem on a 3D torus is solved. The computed distributions are compared with the solution specified by the ABC flow.
Key words: linearly implicit Runge–Kutta method, Rosenbrock method, W-method, Navier–Stokes equations, ABC flowю.
Received: 01.04.2019
Revised: 01.07.2019
Accepted: 08.07.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 11, Pages 1881–1892
DOI: https://doi.org/10.1134/S0965542519110083
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: V. G. Krupa, “A numerical third-order method for solving the Navier–Stokes equations with respect to time”, Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019), 1948–1960; Comput. Math. Math. Phys., 59:11 (2019), 1881–1892
Citation in format AMSBIB
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