Results 31 to 40 of about 116,557 (189)

High-Effectiveness and -Accuracy Difference Scheme Based on Nonuniform Grids for Solving Convection–Diffusion Equations with Boundary Layers

open access: yesAxioms, 2023
In this paper, some rational high-accuracy compact finite difference schemes on nonuniform grids (NRHOC) are introduced for solving convection–diffusion equations.
Fang Tian, Mingjing Wang, Yongbin Ge
doaj   +1 more source

Efficient solver for a special class of convection-diffusion problems

open access: yes, 2019
We describe an exact and highly efficient numerical algorithm for solving a special but important class of convection-diffusion equations. These equations occur in many problems in physics, chemistry, or biology, and they are usually hard to treat due to
Enderlein, Jörg   +3 more
core   +1 more source

Matrix-equation-based strategies for convection-diffusion equations

open access: yes, 2015
We are interested in the numerical solution of nonsymmetric linear systems arising from the discretization of convection-diffusion partial differential equations with separable coefficients and dominant convection.
Palitta, Davide, Simoncini, Valeria
core   +1 more source

Dead Cores in a Convection-Diffusion Problem

open access: yesJournal of Mathematical Analysis and Applications, 1994
A model for fiber spinning is considered. It involves the compressible gas flow through a cylindrical multifilament bundle of parallel fibers. The volume occupied by the bundle is modelled as a porous medium with anisotropic permeability, and the flow is governed by Darcy's law.
Vanderhout, R.   +3 more
openaire   +1 more source

Finite Volume Solutions of Convection-Diffusion Test Problems [PDF]

open access: yesMathematics of Computation, 1993
The cell-vertex formulation of the finite volume method has been developed and widely used to model inviscid flows in aerodynamics: more recently, one of us has proposed an extension for viscous flows. The purpose of the present paper is two-fold: first we have applied this scheme to a well-known convection-diffusion model problem, involving flow round
Mackenzie, J. A., Morton, K. W.
openaire   +2 more sources

Improving the worthiness of the Elder problem as a benchmark for buoyancy driven convection models [PDF]

open access: yes, 2008
An important trapping mechanism associated with the geosequestration of CO~2~ is that of dissolution into the formation water. Although supercritical CO~2~ is significantly less dense than water, experimental data reported in the literature show that the
Craig T. Simmons   +3 more
core   +2 more sources

A New Domain Decomposition Parallel Algorithm for Convection–Diffusion Problem

open access: yesMathematical Modelling and Analysis, 2014
Basing on overlapping domain decomposition, we construct a new parallel algorithm combined the method of subspace correction with least-squares procedure for solving time-dependent convection–diffusion problem. This algorithm is fully parallel.
Jiansong Zhang, Danping Yang
doaj   +1 more source

Fitted mesh method for a weakly coupled system of singularly perturbed reaction–convection–diffusion problems with discontinuous source term

open access: yesAin Shams Engineering Journal, 2018
In this article, a parameter-uniform numerical method for a weakly coupled system of singularly perturbed reaction–convection–diffusion problems with discontinuous source term containing two small parameters multiplied to the highest and second highest ...
Pathan Mahabub Basha, Vembu Shanthi
doaj   +1 more source

A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime [PDF]

open access: yes, 2019
The numerical approximation of an inverse problem subject to the convection--diffusion equation when diffusion dominates is studied. We derive Carleman estimates that are on a form suitable for use in numerical analysis and with explicit dependence on ...
Burman, Erik   +2 more
core   +2 more sources

A Comparative Study on Stabilized Finite Element Methods for the Convection-Diffusion-Reaction Problems

open access: yesJournal of Applied Mathematics, 2018
The disproportionality in the problem parameters of the convection-diffusion-reaction equation may lead to the formation of layer structures in some parts of the problem domain which are difficult to resolve by the standard numerical algorithms ...
Ali Sendur
doaj   +1 more source

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