Use of algebraic dual spaces in domain decomposition methods for Darcy flow in 3D domains
نویسندگان
چکیده
In this work we use algebraic dual spaces with a domain decomposition method to solve the Darcy equations. We define broken Sobolev and their finite dimensional counterparts. A global trace space is defined that connects solution between spaces. Use of results in sparse, metric-free representation incompressibility constraint, pressure gradient term, on continuity constraint sub domains. To demonstrate this, two test cases: (i) manufactured case, (ii) an industrial benchmark reservoir modelling problem SPE10. The can be used for formulation, despite having more unknowns, requires less simulation time compared continuous Galerkin without compromising accuracy solution.
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2023
ISSN: ['0045-7825', '1879-2138']
DOI: https://doi.org/10.1016/j.cma.2022.115827