Journal ArticleDOI
A Eulerian-Lagrangian numerical scheme for the dispersion-convection equation using conjugate space-time grids
TLDR
In this paper, a new numerical scheme is proposed for the dispersion-convection equation which combines the utility of a fixed grid in Eulerian coordinates with the computational power of the Lagrangian method.About:
This article is published in Journal of Computational Physics.The article was published on 1981-06-01. It has received 172 citations till now. The article focuses on the topics: Convection–diffusion equation & Interpolation.read more
Citations
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MT3DMS: A Modular Three-Dimensional Multispecies Transport Model for Simulation of Advection, Dispersion, and Chemical Reactions of Contaminants in Groundwater Systems; Documentation and User's Guide
Chunmiao Zheng,P P Wang +1 more
TL;DR: MT3DMS as discussed by the authors is the next generation of the modular three-dimensional transport model, with significantly expanded capabilities, including the addition of a third-order total-variation-diminishing (TVD) scheme for solving the advection term that is mass conservative but does not introduce excessive numerical dispersion and artificial oscillation.
Journal ArticleDOI
Variable-density flow and transport in porous media: approaches and challenges
H.-J.G. Diersch,Olaf Kolditz +1 more
TL;DR: Weaknesses and inconsistencies of current model-verification methods are discussed as well as benchmark solutions for solving the coupled spatio-temporal convection process, consistent velocity approximation, and error-based mesh adaptation techniques.
Journal ArticleDOI
An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation
TL;DR: The Eulerian-Lagrangian localized adjoint method (ELLAM) as discussed by the authors is a space-time extension of the optimal test function (OTF) method that provides a consistent formulation by defining test functions as specific solutions of the localized homogeneous adjoint equation.
Journal ArticleDOI
Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
TL;DR: Time stepping along the characteristics of the hyperbolic part of the concentration equation is shown to result in smaller time-truncation errors than those of standard methods.
Journal ArticleDOI
A numerical transport model for oxygen‐ and nitrate‐based respiration linked to substrate and nutrient availability in porous media
TL;DR: In this paper, a model to simulate organic carbon biodegradation by facultative bacteria in saturated porous media using oxygen-and/or nitrate-based respiration is developed, which is highly resistant to numerical dispersion and oscillation when applied to the advection-dispersion equation, even for large Peclet numbers.
References
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Book
Numerical solution of partial differential equations : finite difference methods
TL;DR: In this article, the standard finite difference methods of parabolic, hyperbolic, and elliptic equations are discussed, together with the concomitant theoretical work on consistency, stability, and convergence.
Journal ArticleDOI
An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
Journal ArticleDOI
Flux-corrected transport II: Generalizations of the method
TL;DR: In this paper, the Lax-Wendroff, leapfrog, and upstreaming types of FCT are compared with one another and with some conventional FCT algorithms.
ReportDOI
Computer model of two-dimensional solute transport and dispersion in ground water
Abstract: _________-_____-________________ Introduction _-___-_-_____-_____-__________ Theoretical background ____ ______ ---___--Flow equation _-___I______-_______ Transport equation _______________ Dispersion coefficient, ______ -___-__ Review of assumptions ____ -_ _____ Numerical methods ______ -__-_---__-_-___ Flow equation ______ ---.._----_-_---___ Transport equation _-_-__----_-_-_-___ Method of characteristics ---__--_-_ Particle tracking _-._ ____ --______ Finite-difference approximations --_ Stability criteria ___ .____ ---______ Boundary and initial conditions _-__ Mass balance __-___.__ --_-___--___ Special problems ___._______ _____ Computer program __-__________ --_______ General program features ___--_-_____ Program segments _---__----____ ---__ MAIN __--___--___.___ ---_-_---__ Subroutine PARLOD _--____ ____ Subroutine ITERAT --___-______ Subroutine GENPT ____ -______ -_ Subroutine VELO _ ________ --___ Subroutine MOVE _______ -_-__--_Page 1
Journal ArticleDOI
A Numerical Technique for Calculating the Transient Position of the Saltwater Front
TL;DR: In this paper, the movement of the saltwater front in coastal aquifers, including the effect of dispersion, can be determined by using numerical methods, and the alternating direction iterative procedure is used to solve the groundwater flow equation for the two-dimensional problem.
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