Numerical solution of the three-dimensional diffusion equation in leaching processes

1986 ◽  
Vol 13 (6) ◽  
pp. 685-690 ◽  
Author(s):  
Guillermo E. Hough
Keyword(s):  
Diffusion Equation ◽  
Numerical Solution ◽  
Three Dimensional ◽  
Dimensional Diffusion

Numerical Solution of the Differential Diffusion Equation for a Steel Carburizing Process

2018 ◽  
Vol 284 ◽  
pp. 1230-1234
Author(s):  
Mikhail V. Maisuradze ◽  
Alexandra A. Kuklina
Keyword(s):  
Diffusion Equation ◽  
Numerical Solution ◽  
Differential Diffusion ◽  
One Dimensional ◽  
The Third ◽  
Dimensional Diffusion ◽  
Simplified Algorithm ◽  
The One ◽  
Carburizing Process ◽  
Precise Assessment

The simplified algorithm of the numerical solution of the differential diffusion equation is presented. The solution is based on the one-dimensional diffusion model with the third kind boundary conditions and the finite difference method. The proposed approach allows for the quick and precise assessment of the carburizing process parameters – temperature and time.

Convective drying of osmotically dehydrated apples described by three-dimensional numerical solution of the diffusion equation with analysis of water effective diffusivity spatial distribution

2019 ◽  
Vol 37 (16) ◽  
pp. 2034-2046
Author(s):  
Kalina Lígia Cavalcante de Almeida Farias ◽  
Wilton Pereira da Silva ◽  
Juarez Everton de Farias Aires ◽  
Aluízio Freire da Silva Júnior ◽  
Cleide Maria Diniz Pereira da Silva e Silv
Keyword(s):  
Spatial Distribution ◽  
Diffusion Equation ◽  
Numerical Solution ◽  
Three Dimensional ◽  
Effective Diffusivity ◽  
Convective Drying

scholarly journals N-ORDER MOMENT FUNCTION FOR THE SOLUTION OF THE CAUCHY PROBLEM FOR DIFFUSION EQUATION WITH RANDOM COEFFICIENTS

2017 ◽  
Vol 17 (8) ◽  
pp. 5-20
Author(s):  
T.V. Besedina
Keyword(s):  
Cauchy Problem ◽  
Diffusion Equation ◽  
Three Dimensional ◽  
Random Coefficients ◽  
Moment Function ◽  
Order Moment ◽  
Random Initial Condition ◽  
Initial Condition ◽  
Dimensional Diffusion ◽  
The Cauchy Problem

Formula for n-order moment function for the solution of the Cauchy problem for three-dimensional diffusion equation with random coefficients and random initial condition is derived.

Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes

2016 ◽  
Vol 21 (1) ◽  
pp. 162-181 ◽  
Author(s):  
Xiang Lai ◽  
Zhiqiang Sheng ◽  
Guangwei Yuan
Keyword(s):  
Diffusion Equation ◽  
Finite Volume ◽  
Three Dimensional ◽  
Finite Volume Scheme ◽  
Order Accuracy ◽  
Volume Scheme ◽  
Tetrahedral Meshes ◽  
Dimensional Diffusion ◽  
Coefficient Problems ◽  
Monotone Finite Volume Scheme

AbstractWe construct a nonlinear monotone finite volume scheme for three-dimensional diffusion equation on tetrahedral meshes. Since it is crucial important to eliminate the vertex unknowns in the construction of the scheme, we present a new efficient eliminating method. The scheme has only cell-centered unknowns and can deal with discontinuous or tensor diffusion coefficient problems on distorted meshes rigorously. The numerical results illustrate that the resulting scheme can preserve positivity on distorted tetrahedral meshes, and also show that our scheme appears to be approximate second-order accuracy for solution.

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