A solution-scheme for the convective-diffusion equation
type: Item
instance of: scholarly article
title: A solution-scheme for the convective-diffusion equation
zbMATH Open document ID: 0573.76097
DOI: 10.1007/BF00945299
author: B. George
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1985-01-01T00:00:00Z
review text: This paper presents a versatile solution-scheme for the convective- diffusion equation. A small-time, asymptotic, solution for an instantaneous point source of scalar contaminant is expressed as a three- dimensional, Hermite polynomial expansion and manipulated, using superposition, to generate the contaminant concentration field that results at larger times and for arbitrary, continuous or instantaneous, source contaminant distribution. This equation is commonly used to model contaminant dispersion in complex environmental flows so that the considerable degree of generality, flexibility and efficiency of this solution-scheme highly commends it to this application. The off-diagonal terms in the diffusivity tensor and the non-zero gradient of this term and the mean-velocity field are shown to make a significant contribution to the evolution of the contaminant concentration field resulting from the instantaneous release of contaminant from a point source.
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76Rxx
zbMATH DE Number: 3915919
zbMATH Keywords: small-time, asymptotic, solution
zbMATH Keywords: point source of scalar contaminant
zbMATH Keywords: three-dimensional, Hermite polynomial expansion
zbMATH Keywords: contaminant concentration field
zbMATH Keywords: complex environmental flows
zbMATH Keywords: off-diagonal terms in the diffusivity tensor
zbMATH Keywords: mean-velocity field
MaRDI profile type: Publication
cites work: Turbulent diffusion in Lake Huron
cites work: The diffusion of smoke from a continuous elevated point-source into a turbulent atmosphere
cites work: The initial dispersion of contaminant in Poiseuille flow and the smoothing of the snout
description: scientific article; zbMATH DE number 3915919