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Monolithic Newton-Multigrid Solver for Multiphase Flow Problems with Surface Tension

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Monolithic Newton-Multigrid Solver for Multiphase Flow Problems with Surface Tension

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dc.contributor.author Afaq, Muhammad Aaqib es_ES
dc.contributor.author Turek, Stefan es_ES
dc.contributor.author Ouazzi, Abderrahim es_ES
dc.contributor.author Fatima, Arooj es_ES
dc.date.accessioned 2022-09-27T10:03:43Z
dc.date.available 2022-09-27T10:03:43Z
dc.date.issued 2022-05-11
dc.identifier.isbn 9788490489697
dc.identifier.uri http://hdl.handle.net/10251/186599
dc.description.abstract [EN] We have developed a monolithic Newton-multigrid solver for multiphase flow problems which solves velocity, pressure and interface position simultaneously. The main idea of our work is based on the formulations discussed in [1], where it points out the feasibility of a fully implicit monolithic solver for multiphase flow problems via two formulations, a curvature-free level set approach and a curvature-free cutoff material function approach. Both formulations are fully implicit and have the advantages of requiring less regularity, since neither normals nor curvature are explicitly calculated, and no capillary time restriction. Furthermore, standard Navier-Stokes solvers might be used, which do not have to take into account inhomogeneous force terms. The reinitialization issue is integrated with a nonlinear terms within the formulations.The nonlinearity is treated with a Newton-type solver with divided difference evaluation of the Jacobian matrices. The resulting linearized system inside of the outer Newton solver is a typical saddle point problem which is solved using the geometrical multigrid with Vanka-like smoother using higher order stable FEM pair $Q_2/P^{\text{disc}}_1$ for velocity and pressure and $Q_2$ for all other variables. The method is implemented into an existing software packages for the numerical simulation of multiphase flows (FeatFlow). The robustness and accuracy of this solver is tested for two different test cases, i.e. static bubble and oscillating bubble, respectively [2]. es_ES
dc.description.sponsorship Muhammad Aaqib Afaq would like to thank Erasmus Mundus INTACT project, funded by the European Union as part of the Erasmus Mundus programme and the National University of Sciences and Technology (NUST) for their financial support. The authors also acknowledge the support by LS3 and LiDO3 team at ITMC, TU Dortmund University. es_ES
dc.format.extent 10 es_ES
dc.language Inglés es_ES
dc.publisher Editorial Universitat Politècnica de València es_ES
dc.relation.ispartof Proceedings of the YIC 2021 - VI ECCOMAS Young Investigators Conference
dc.rights Reconocimiento - No comercial - Compartir igual (by-nc-sa) es_ES
dc.subject Multiphase flow es_ES
dc.subject Curvature-free es_ES
dc.subject Level set method es_ES
dc.subject Cutoff material function es_ES
dc.subject Finite element method es_ES
dc.subject Navier-Stokes equations es_ES
dc.title Monolithic Newton-Multigrid Solver for Multiphase Flow Problems with Surface Tension es_ES
dc.type Capítulo de libro es_ES
dc.type Comunicación en congreso es_ES
dc.identifier.doi 10.4995/YIC2021.2021.12390
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Afaq, MA.; Turek, S.; Ouazzi, A.; Fatima, A. (2022). Monolithic Newton-Multigrid Solver for Multiphase Flow Problems with Surface Tension. En Proceedings of the YIC 2021 - VI ECCOMAS Young Investigators Conference. Editorial Universitat Politècnica de València. 190-199. https://doi.org/10.4995/YIC2021.2021.12390 es_ES
dc.description.accrualMethod OCS es_ES
dc.relation.conferencename VI ECCOMAS Young Investigators Conference es_ES
dc.relation.conferencedate Julio 07-09, 2021 es_ES
dc.relation.conferenceplace Valencia, España es_ES
dc.relation.publisherversion http://ocs.editorial.upv.es/index.php/YIC/YIC2021/paper/view/12390 es_ES
dc.description.upvformatpinicio 190 es_ES
dc.description.upvformatpfin 199 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.relation.pasarela OCS\12390 es_ES


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