Zobrazeno 1 - 10
of 134
pro vyhledávání: '"Korotkevich, A. O."'
Autor:
Korotkevich, Alexander O.
The problem of optimization of the array size for modern discrete Fourier transform libraries is considered and reformulated as an integer linear programming problem. Acceleration of finding an optimal solution using standard freely available library
Externí odkaz:
http://arxiv.org/abs/2308.07975
Publikováno v:
Journal of Fluid Mechanics, vol. 992, p. A1 ( 2024)
We develop a theory of turbulence of weak random gravity waves on surface of deep water in which the main nonlinear process at high-frequency part of the spectrum is a nonlocal interaction with a strong low-frequency component. The latter component,
Externí odkaz:
http://arxiv.org/abs/2305.01930
Autor:
Korotkevich, Alexander O.
During the set of direct numerical simulations of the forced isotropic turbulence of surface gravity waves in the framework of primordial dynamical equations, the universal inverse cascade spectrum was observed. The slope of the spectrum is the same
Externí odkaz:
http://arxiv.org/abs/2211.16567
Autor:
Korotkevich, Alexander O., Lushnikov, Pavel M., Semenova, Anastassiya A., Dyachenko, Sergey A.
A stability of nearly limiting Stokes waves to superharmonic perturbations is considered numerically. The new, previously inaccessible branches of superharmonic instability were investigated. Our numerical simulations suggest that eigenvalues of line
Externí odkaz:
http://arxiv.org/abs/2206.00725
Publikováno v:
Phys. Rev. Lett., vol. 129, p. 034101 (2022)
The present work considers systems whose dynamics are governed by the nonlinear interactions among groups of 6 nonlinear waves, such as those described by the unforced quintic nonlinear Schr\"odinger equation. Specific parameter regimes in which ense
Externí odkaz:
http://arxiv.org/abs/2109.02477
Autor:
Korotkevich, Alexander O.
Extensive set of tests on different platforms indicated that there is a performance drop of current standard de facto software library for the Discrete Fourier Transform (DFT) in case of large 2D array sizes (larger than 16384x16384). Parallel perfor
Externí odkaz:
http://arxiv.org/abs/2008.07031
Publikováno v:
Journal of Computational Physics, v. 427, 110061 (2021)
We provide a systematic comparison of two numerical methods to solve the widely used nonlinear Schr\"odinger equation. The first one is the standard second order split-step (SS2) method based on operator splitting approach. The second one is the Hami
Externí odkaz:
http://arxiv.org/abs/2008.03938
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Publikováno v:
JETP Letters, 109, 5, 309-315 (2019). (Russian reference: Pis'ma v Zh. Eksp. Teor. Fiz., 109, 5, 312-319 (2019))
We calculate the rate of ocean waves energy dissipation due to whitecapping by numerical simulation of deterministic phase resolving model for dynamics of ocean surface. Two independent numerical experiments are performed. First, we solve the $3D$ Ha
Externí odkaz:
http://arxiv.org/abs/1808.04953
Publikováno v:
Physica D: Nonlinear Phenomena 361, 1-11 (2017)
We develop an operator splitting method to simulate flows of isothermal compressible natural gas over transmission pipelines. The method solves a system of nonlinear hyperbolic partial differential equations (PDEs) of hydrodynamic type for mass flow
Externí odkaz:
http://arxiv.org/abs/1611.10008