Calculating effective diffusivities in the limit of vanishing molecular diffusion

DOI10.1016/j.jcp.2008.10.014zbMath1161.65007arXiv0806.3403OpenAlexW2156576298MaRDI QIDQ1005492

Grigorios A. Pavliotis, Andrew M. Stuart, Konstantinos C. Zygalakis

Publication date: 9 March 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3403

zbMATH Keywords

Monte Carlo methodshomogenization theorymultiscale analysiseffective diffusivityinertial particlespassive tracers

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Numerical solutions to stochastic differential and integral equations (65C30) Multiple scale methods for ordinary differential equations (34E13)

Related Items (10)

A forward-backward probabilistic algorithm for the incompressible Navier-Stokes equations ⋮ Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method ⋮ The effect of a non-zero Lagrangian time scale on bounded shear dispersion ⋮ On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes ⋮ Modified equations for weakly convergent stochastic symplectic schemes via their generating functions ⋮ Computing Effective Diffusivity of Chaotic and Stochastic Flows Using Structure-Preserving Schemes ⋮ Convergence Analysis of Stochastic Structure-Preserving Schemes for Computing Effective Diffusivity in Random Flows ⋮ Pathwise accuracy and ergodicity of metropolized integrators for SDEs ⋮ Dispersion of inertial particles in cellular flows in the small-Stokes, large-Péclet regime ⋮ Sharp Error Estimates on a Stochastic Structure-Preserving Scheme in Computing Effective Diffusivity of 3D Chaotic Flows

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