๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A modified method of characteristics incorporating streamline diffusion

โœ Scribed by Myron B. Allen; Biyue Liu


Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
872 KB
Volume
11
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

โœฆ Synopsis


A hybrid finite-element method, combining ideas from a modified method of characteristics and the streamline diffusion method, delivers accurate solutions to the advection -diffusion equation. An error analysis for the case of tensorial diffusion shows that the lowest-order version of the scheme, which allows one to use a symmetric linear solvers at each time step, possesses first-order accuracy in time and space. Numerical experiments demonstrate the scheme's ability to model advection-dominated transport of solute plumes without distorting sharp fronts. 0 1995 John Wiley & Sons, Inc.


๐Ÿ“œ SIMILAR VOLUMES


On a modified streamline curvature metho
โœ Cordova, Jeffrey Q. ;Pearson, Carl E. ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Wiley (John Wiley & Sons) ๐ŸŒ English โš– 409 KB ๐Ÿ‘ 1 views

A modification of the streamline curvature method leads to a quasilinear second-order partial differential equation for the streamline coordinate function. The existence of a stream function is not required. The method is applied to subsonic and supersonic nozzle flow, and to axially symmetric flow

Pointwise superconvergence of the stream
โœ Guohui Zhou; Rolf Rannacher ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 927 KB

In this article, we analyze the local superconvergence property of the streamline-diffusion finiteelement method (SDFEM) for scalar convection-diffusion problems with dominant convection. By orienting the mesh in the streamline direction and imposing a uniformity condition on the mesh, the theoretic

Stability of a streamline diffusion fini
โœ Long Chen; Yonggang Wang; Jinbiao Wu ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 195 KB

A one-dimensional singularly perturbed problem with a boundary turning point is considered in this paper. Let V h be the linear finite element space on a suitable grid T h . A variant of streamline diffusion finite element method is proved to be almost uniform stable in the sense that the numerical