Wang, S. T., McMillan, A. F., and Chen, B. An approximate solution to the advection- diffusion equation as applied to an estuary. J. Hydrol. 48 (1980), 251-268.Wang S T, McMillan A F and Chen B 1980 An approximate solution to the advection-diffusion equation as applied to an ...
A FINITE VOLUME MODEL FOR THE SOLUTION OF THE ADVECTION-DISPERSION EQUATIONThe present study is concerned with the modeling of conservative as well as non-conservative solute transport in ground water. The model is based on an operator split approach which uses an Eulerian frame work with finite ...
An approximate solution to the advection-diffusion equation as applied to an estuary 来自 dx.doi.org 喜欢 0 阅读量: 28 作者:ST Wang,AF Mcmillan,BH Chen 摘要: A non-uniform velocity profile in the form of the product of functions of width and depth is used to describe a partially mixed ...
Based on the concept of Eulerian–Lagrangian method (ELM), the formulation of ELBEM and its associated fundamental solution is obtained for the advection–diffusion equation. Combining ELM and BEM makes it easier to handle the variable velocity field. The ELBEM model performs well for both ...
The collocation method based on the extended B-spline functions as trial functions is set up to find numerical solutions of the advection-diffusion equation numerically. The transport of the pollution is simulated by way of using solutions of the advection-diffusion equation. Comparative results of ...
Analytical solutions are given for the equivalent modified partial differential equations for first, second and third-order finite difference schemes used to solve the advection equation. These analytical solutions are also used to establish the accuracy of these schemes for the simulation of problems ...
The boundary condition used across the surface (X = 0) was that of the third type, which accounts for advection as well as dispersion. To illustrate the significance of using the proper boundary conditions, comparisons were made with two other mathematical solutions, one by Cleary and Adrian (...
We demonstrate how solutions to the incompressible Navier-Stokes Equations with transport and advection noise can be recovered through recent developments in the solution theory for stochastic partial differential equations (SPDEs). Local-in-time and glo
The studied equations include the Fick diffusion and surface reaction equation, the advection equation, and the heat conduction equation. Furthermore, to enhance the versatility of the Porous-DeepONet in addressing coupled equations from multi-physical fields, a combination of the Porous-DeepONet and...
The decomposition method provides a means of computing an approximate solution to the problem without the need for an explicit discretization of the partial differential equation. Furthermore, it is shown that in the case of the advection and diffusion of a chemically inert material, the components...