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VALIDITY OF PARAMETRIC RESTRICTIONS TO THE MODIFIED BUCKLEY-LEVERETT EQUATIONS

Volume 19, Edição 9, 2016, pp. 811-819
DOI: 10.1615/JPorMedia.v19.i9.50
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RESUMO

A modified version of the regularized Buckley-Leverett equation is studied. It is shown that adequate numerical schemes with nonlinear numerical stability properties should be employed to capture the different compressible and under-compressive shock waves, as well as rarefaction waves, present in this model. Otherwise, unphysical non-monotonic behavior will be artificially produced, which might lead to an incorrect physical interpretation of the problem under study. An example is shown where this oscillatory behavior led to the imposition of an unnecessary restriction on the possible values of the regularization parameter of this model. The schemes presented here can and have been extended to more complex flow models.

CITADO POR
  1. Zhang Hong, Zegeling Paul Andries, A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media, Communications in Computational Physics, 22, 4, 2017. Crossref

  2. Teixeira Renan de Souza, Chalhub Daniel José Nahid Mansur, Massari Pollyana de L, Numerical and experimental evaluation of the thermally stratified atmospheric boundary layer in wind tunnels, REM - International Engineering Journal, 74, 1, 2021. Crossref

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