Coupled nonlinear advection-diffusion-reaction system for prevention of groundwater contamination by modified upwind finite volume element method

DOI10.1016/j.camwa.2015.01.001zbMath1444.65056OpenAlexW2034220943MaRDI QIDQ2006032

Wei Liu, Xiaohan Long, Jian Huang

Publication date: 8 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.01.001

zbMATH Keywords

error estimatestwo-grid methodnonlinear problemfinite volume elementmodified upwind approximation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (8)

Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection–reaction–diffusion models ⋮ A numerical algorithm based on modified orthogonal linear spline for solving a coupled nonlinear inverse reaction-diffusion problem ⋮ An accuracy comparison of piecewise linear reconstruction techniques for the characteristic finite volume method for two‐dimensional convection‐diffusion equation ⋮ Second-order Numerical method for coupling of slightly compressible Brinkman flow with advection-diffusion system in fractured media ⋮ Compact local integrated radial basis functions (integrated RBF) method for solving system of non-linear advection-diffusion-reaction equations to prevent the groundwater contamination ⋮ A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination ⋮ Remediation of contaminated groundwater by meshless local weak forms ⋮ Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow

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