Nested Block Factorization Preconditioners for Convective-Diffusion Problems in Three Dimensions

1991 ◽

Vol 56 (2) ◽

pp. 334-343

Author(s):

Ondřej Wein

Keyword(s):

Power Law ◽

Analytical Solutions ◽

Convective Diffusion ◽

Active Surface ◽

Velocity Profiles ◽

One Dimensional ◽

Slip Conditions ◽

Accessible Surface ◽

Diffusion Problems

Analytical solutions are given to a class of unsteady one-dimensional convective-diffusion problems assuming power-law velocity profiles close to the transport-active surface.

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ON THE FINITE ELEMENT ANALYSIS OF THE TRANSIENT CONVECTIVE DIFFUSION PROBLEMS

PROCEEDINGS OF THE JAPANESE CONFERENCE ON HYDRAULICS ◽

10.2208/prohe1975.22.139 ◽

1978 ◽

Vol 22 ◽

pp. 139-146

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Convective Diffusion ◽

Element Analysis ◽

The Finite Element Analysis ◽

Diffusion Problems

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Adaptive Coarse Spaces for FETI-DP in Three Dimensions with Applications to Heterogeneous Diffusion Problems

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XXIII ◽

10.1007/978-3-319-52389-7_18 ◽

2017 ◽

pp. 187-196 ◽

Cited By ~ 1

Author(s):

Axel Klawonn ◽

Martin Kühn ◽

Oliver Rheinbach

Keyword(s):

Three Dimensions ◽

Diffusion Problems

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COMPARISON OF APPROXIMATE METHODS FOR SOLVING NON-LINEAR CONVECTIVE DIFFUSION PROBLEMS

Chemical Engineering Communications ◽

10.1080/00986448408940105 ◽

1984 ◽

Vol 25 (1-6) ◽

pp. 173-181 ◽

Cited By ~ 1

Author(s):

QAMARDEEP S. BHATIA ◽

ASGHAR ALI ◽

WILLIAM N. GILL

Keyword(s):

Convective Diffusion ◽

Approximate Methods ◽

Non Linear ◽

Diffusion Problems

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Convective Diffusion Equation in Two and Three Dimensions

Introduction to Chemical Engineering Computing ◽

10.1002/0471776688.ch11 ◽

2006 ◽

pp. 207-228

Keyword(s):

Diffusion Equation ◽

Convective Diffusion ◽

Three Dimensions ◽

Convective Diffusion Equation

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A boundary element analysis for convective diffusion problems adjacent to diffusion domains

Applied Mathematical Modelling ◽

10.1016/0307-904x(89)90023-1 ◽

1989 ◽

Vol 13 (2) ◽

pp. 115-121

Author(s):

Yasuhiro Tanaka ◽

Toshihisa Honma

Keyword(s):

Boundary Element ◽

Convective Diffusion ◽

Element Analysis ◽

Boundary Element Analysis ◽

Diffusion Problems

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COMPARATIVE STUDY OF THE MULTIQUADRIC AND THIN-PLATE SPLINE RADIAL BASIS FUNCTIONS FOR THE TRANSIENT-CONVECTIVE DIFFUSION PROBLEMS

International Journal of Modern Physics C ◽

10.1142/s0129183106009783 ◽

2006 ◽

Vol 17 (08) ◽

pp. 1151-1169 ◽

Cited By ~ 7

Author(s):

A. DURMUS ◽

I. BOZTOSUN ◽

F. YASUK

Keyword(s):

Radial Basis Functions ◽

Thin Plate ◽

Numerical Solutions ◽

Convective Diffusion ◽

Finite Difference Methods ◽

Basis Functions ◽

Thin Plate Spline ◽

Collocation Methods ◽

Radial Basis ◽

Diffusion Problems

The numerical solutions of the unsteady transient-convective diffusion problems are investigated by using multiquadric (MQ) and thin-plate spline (TPS) radial basis functions (RBFs) based on mesh-free collocation methods with global basis functions. The results of radial basis functions are compared with the mesh-dependent boundary element and finite difference methods as well as the analytical solution for high Péclet numbers. It is reported that for low Péclet numbers, MQ-RBF provides excellent agreement, while for high Péclet numbers, TPS-RBF is better than MQ-RBF.

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