An Eulerian-Lagrangian Localized Adjoint Method for Advection-dispersion Equations in Two Dimensions and Its Comparison to Other Schemes

Abstract

We develop an ELLAM (Eulerian-Lagrangian localized adjoint method) scheme to solve two-dimensional advection-dispersion equations with all combinations of inflow and outflow Dirichlet, Neumann, and flux boundary conditions. The ELLAM formalism provides a systematic framework for implementation of general boundary conditions, leading to mass-conservative numerical schemes. The computational advantages of the ELLAM approximation have been demonstrated for a number of one-dimensional transport systems: practical implementations of ELLAM schemes in multiple spatial dimensions that require careful algorithm development are discussed in detail in this paper. Extensive numerical results are presented to compare the ELLAM scheme with many widely used numerical methods and to demonstrate the strength of the ELLAM scheme.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1997
Accession Number
AD1000047

Entities

People

  • Helge K. Dahle
  • Hong Wang
  • Magne S. Espedal
  • Richard E. Ewing
  • Robert C. Sharpley
  • Shushuang Man

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Boltzmann Equation
  • Computational Fluid Dynamics
  • Computational Mechanics
  • Computational Science
  • Computations
  • Convection
  • Environmental Pollutants
  • Equations
  • Geometry
  • Groundwater
  • Mathematics
  • Method Of Characteristics
  • Numerical Analysis
  • Simulations
  • Time Intervals
  • Water Resources

Fields of Study

  • Mathematics

Readers

  • Aerial Delivery - Logistics and Supply Chain Management.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)