Simple passive scalar advection-diffusion model
نویسندگان
چکیده
منابع مشابه
A Simple Passive Scalar Advection-Diffusion Model
This paper presents a simple, one-dimensional model of a randomly advected passive scalar. The model exhibits anomalous inertial range scaling for the structure functions constructed from scalar differences. The model provides a simple computational test for recent ideas regarding closure and scaling for randomly advected passive scalars. Results suggest that high order structure function scali...
متن کاملRenormalization Group and Anomalous Scaling in a Simple Model of Passive Scalar Advection in Compressible Flow
Field theoretical renormalization group methods are applied to a simple model of a passive scalar quantity advected by the Gaussian non-solenoidal (“compressible”) velocity field with the covariance ∝ δ(t − t′)|x − x′|ε. Convective range anomalous scaling for the structure functions and various pair correlators is established, and the corresponding anomalous exponents are calculated to the orde...
متن کاملPassive scalar conditional statistics in a model of random advection
We study numerically a model of random advection of a passive scalar by an incompressible velocity field of different prescribed statistics. Our focus is on the conditional statistics of the passive scalar and specifically on two conditional averages: the averages of the time derivative squared and the second time derivative of the scalar when its fluctuation is at a given value. We find that t...
متن کاملSlow modes in passive scalar turbulent advection.
This communication describes the computation of slow modes in a generic shell model of passive turbulent advection. It is argued that the propagator for the correlation functions possesses a ladder of slow modes associated with each zero mode. These slow modes decay algebraically fast, as opposed to exponential. Using the explicit form of the propagator of the 2-point structure function, we sho...
متن کاملStability Analysis of Scalar Advection-Diffusion Equation
This note recounts detailed stability and accuracy analysis of a scalar advection-diffusion equation.
متن کاملذخیره 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: Physical Review E
سال: 1998
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.58.5757