This research paper presents a novel and efficient explicit numerical technique for modeling advection diffusion reactions in an opened uniform flow from one-dimensional perspective. The proposed hybrid scheme combines the benefits of finite difference schemes, resulting accurate fast solution advection-diffusion equation water stream problems. effectiveness is demonstrated through its successf...

The objective of this paper is to describe governing numerical equation and solution algorithm of pollution transport mechanisms and factors essential to include in developing relatively simple and practical tools to quantify pollution loss, advection, diffusion and sorption in pollution transport into the groundwater at landfill sites. This paper presents the development of a numerical model t...

A high-order Galerkin Least-Squares (GLS) finite element discretization is combined with a Balancing Domain Decomposition by Constraints (BDDC) preconditioner and inexact local solvers to provide an efficient solution technique for large-scale, convection-dominated problems. The algorithm is applied to the linear system arising from the discretization of the two-dimensional advection-diffusion ...

The problem of dispersion, advection and adsorption of a tracer in a double-porosity reservoir due to tracer injection in a well with a steady, radially divergent flow field was solved for the case of constant tracer concentration in the injection well. Longitudinal dispersion and advection was assumed to dominate transport in the fracture system and tracer diffusion and adsorption klas assumed...

This work is motivated by the modelling a liquid-vapour flows with phase transition describing evolution of coolant within an heat exchanger (e.g. core Pressurized Water Reactor). We investigate advection-diffusion equation degenerate and nonlinear diffusion coefficient. The degeneracy corresponds to liquid-vapor mixture in original model whereas coefficient non-degenerate pure cases. focus on ...

The accurate and efficient discretization of singularly perturbed advection-diffusion equations on arbitrary 2D and 3D domains remains an open problem. An interesting approach to tackle this problem is the complete flux scheme (CFS) proposed by G. D. Thiart and further investigated by J. ten Thije Boonkkamp. For the CFS, uniform second order convergence has been proven on structured grids. We e...