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.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Lagrangian Derivatives in Chaotic Flows: Asymptotic Behaviour and a Numerical Method

Lagrangian coordinates describe a local frame moving and deforming with a flow, where by flow we mean either a physical flow or the solution of a smooth dynamical system. The rôle of chaos in these coordinates is reflected by a mean exponential stretching of fluid elements along characteristic directions. Many partial differential equations, such as the kinematic advection–diffusion equation, a...

متن کامل

A numerically convergent Lagrangian–Eulerian simulation method for dispersed two-phase flows

In Lagrangian–Eulerian (LE) simulations of two-way coupled particle-laden flows, the dispersed phase is represented either by real particles or by computational particles. In traditional LE (TLE) simulations, each computational particle is assigned a constant statistical weight, which is defined as the expected number of real particles represented by a computational particle. If the spatial dis...

متن کامل

A numerical approach for variable-order fractional unified chaotic systems with time-delay

This paper proposes a new computational scheme for approximating variable-order fractional integral operators by means of finite element scheme. This strategy is extended to approximate the solution of a class of variable-order fractional nonlinear systems with time-delay. Numerical simulations are analyzed in the perspective of the mean absolute error and experimental convergence order. To ill...

متن کامل

A surface tracking fast algorithm for computing Lagrangian coherent structures in 3D unsteady flows

A surface tracking algorithm is developed for the computation and extraction of Lagrangian coherent structures (LCS) in 3D unsteady flows. An advancing front algorithm is used to approximate the LCS surface with a mesh of triangles at each time step. Computations are performed only along the ridges in the finite time Lyapunov exponent (FTLE) field, which identify LCS. Initial results appear ver...

متن کامل

Chaotic mixing in effective compressible flows.

We study numerically joint mixing of salt and colloids by chaotic advection and how salt inhomogeneities accelerate or delay colloid mixing by inducing a velocity drift V(dp) between colloids and fluid particles as proposed in recent experiments [J. Deseigne et al., Soft Matter 10, 4795 (2014)]. We demonstrate that because the drift velocity is no longer divergence free, small variations to the...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: ESAIM

سال: 2022

ISSN: ['1270-900X']

DOI: https://doi.org/10.1051/m2an/2022049