Two-dimensional adaptive Eulerian-Lagrangian method for mass transport with spatial velocity distribution

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5 Scopus citations


A Eulerian-Lagrangian scheme is used to solve the two-dimensional advection-dispersion equation. Concentration and its partial differential operator are decomposed into advection and dispersion terms. Thus, advection is formally decoupled from dispersion and solved by continuous forward particle tracking. Dispersion is handled by implicit finite elements on a fixed Eulerian grid. Translation of steep gradients of concentration in advection-dominated flow regimes, is done without numerical distortion. Continuous spatial distribution of velocities are evaluated by using Galerkin's approach in conjunction with Darcy's law based on hydraulic input data from each element. The method was implemented on coarse FE grid with linear shape functions, demonstrating no over/under shooting and practically no numerical dispersion. Simulations, covering a wide range of Peclet numbers, yield high agreement with analytic and practical results.

Original languageEnglish
Pages (from-to)473-489
Number of pages17
JournalTransport in Porous Media
Issue number5
StatePublished - 1 Oct 1988


  • Advection
  • characteristics
  • continuous fluid velocity
  • dispersion
  • finite-element
  • particles

ASJC Scopus subject areas

  • Catalysis
  • Chemical Engineering (all)


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