A three-dimensional diffusion equation of suspended sediment by waves and currents

1999 ◽  
Vol 44 (19) ◽  
pp. 1814-1817 ◽  
Author(s):  
Pingxing Ding ◽  
Fengyan Shi ◽  
Yazhen Kong
Keyword(s):  
Diffusion Equation ◽  
Suspended Sediment ◽  
Three Dimensional ◽  
Dimensional Diffusion ◽  
Waves And Currents

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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