Eventos Anais de eventos
ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
APPLICATION OF GLIMM SCHEME FOR DESCRIBING FLOW THROUGH POROUS MEDIA WITH KINEMATICAL CONSTRAINED FLUID FRACTION
Submission Author:
Maria Laura Martins-Costa , RJ , Brazil
Co-Authors:
Daniel Cunha da Silva, Maria Laura Martins-Costa, ROGERIO GAMA
Presenter: Maria Laura Martins-Costa
doi://10.26678/ABCM.ENCIT2020.CIT20-0233
Abstract
This work uses a constitutive relationship able to describe the transition unsaturated-saturated and vice-versa, employing a Mixture Theory approach that ensures the hyperbolicity of the associated mathematical system. This relationship is continuous and differentiable, and its first derivative is an increasing positive function so that the amount of fluid that may exceed the porosity is controllable. This work presents a new variation of Glimm scheme, with a strong trend to preserve symmetries, giving rise to computational solutions with dependable positions of rarefaction, shock, and contact shock waves. Comparisons with classical Glimm method for problems with exact solutions show this important feature.
Keywords
Glimm scheme, flow through porous media, transition saturated-unsaturated, Mixture Theory
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