𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Discrete modelling of transport processes in two spatial dimensions

✍ Scribed by Peter Enders; Donard de Cogan

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
527 KB
Volume
5
Category
Article
ISSN
0894-3370

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A random flight model of linear transport processes in two spatial dimensions is considered and solved exactly in closed algebraic form. Its one‐dimensional version had been proposed by Taitel as a means to overcome the paradox of infinite speed of propagation within classical heat diffusion theory. The connection with hyperbolic diffusion theory is complemented here by deriving the discrete fluxes and their relaxation term. Moreover, such an approach circumvents the discretization of a continuum model for an intrinsically discrete process, when diffusion processes are to be solved numerically. Finite samples are treated by means of the reflection method. Some applications of these general results are mentioned.

πŸ“œ SIMILAR VOLUMES

Simulation of spatially correlated data
Simulation of spatially correlated data in two dimensions
✍ P.I. Brooker πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 191 KB

Matheron's turning bands method for the simulation of spatially correlated data in two or three dimensions requires that the relationship between the covariance obeyed by the realizations first generated on lines, and the covariance of the two or three dimensional process must be solved. In three di

High resolution, two-dimensional spatial
High resolution, two-dimensional spatial modelling of flow processes in a multi-thread channel
✍ Stuart N. Lane; Keith S. Richards πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 418 KB πŸ‘ 3 views

This paper describes application and testing of a two-dimensional numerical Β―ow model in a multi-thread reach of a proglacial stream. The model solves the depth-averaged form of the NavierΒ±Stokes equations for open channel Β―ow, incorporating a two-equation turbulence closure, an analytical correctio

Spatially discrete models of counter-cur
Spatially discrete models of counter-current mass transport for application to the kidney
✍ Gerald M. Saidel; Paramjit S. Chandhoke; Mark A. Knepper πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 827 KB

Within the kidney the transport of many solute species and water is accomplished by the parallel operation of several counter-current transport systems. The simulation of these processes requires the solution of a "onlinear, two-point boundary value problem with many simultaneous equations. Standard

Modelling of Root Growth and Bending in
Modelling of Root Growth and Bending in Two Dimensions
✍ H.E. Zieschang; P. Brain; P.W. Barlow πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 411 KB

A special co-ordinate system is developed for modelling the gravitropic bending of plant roots. It is based on the Local Theory of Curves in differential geometry and describes, in one dimension, growth events that may actually occur in two, or even three, dimensions. With knowledge of the spatial d