A virtual element method for the miscible displacement of incompressible fluids in porous media
نویسندگان
چکیده
In the present contribution, we construct a virtual element (VE) discretization for problem of miscible displacement one incompressible fluid by another, described time-dependent coupled system nonlinear partial differential equations. Our work represents first study to investigate premises methods (VEM) complex flow problems. We combine VEM with time stepping scheme and develop complete theoretical analysis method under assumption regular solution. The is then tested both on more realistic test case.
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2021
ISSN: ['0045-7825', '1879-2138']
DOI: https://doi.org/10.1016/j.cma.2020.113649