Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method
نویسندگان
چکیده
In this paper, we study the convergence analysis for a robust stochastic structure-preserving Lagrangian numerical scheme in computing effective diffusivity of time-dependent chaotic flows, which are modeled by differential equations (SDEs). Our is based on splitting method to solve corresponding SDEs deterministic subproblem discretized using while random Euler-Maruyama scheme. We obtain sharp and uniform-in-time proposed that allows us accurately compute long-time solutions SDEs. As such, can flows. Finally, present results demonstrate accuracy efficiency Arnold-Beltrami-Childress (ABC) flow Kolmogorov three-dimensional space.
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ژورنال
عنوان ژورنال: ESAIM
سال: 2022
ISSN: ['1270-900X']
DOI: https://doi.org/10.1051/m2an/2022049