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Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Métodos Numéricos y Aplicacioneses
dc.affiliation.institutoUC3M. Instituto Universitario sobre Modelización y Simulación en Fluidodinámica, Nanociencia y Matemática Industrial Gregorio Millán Barbanyes
dc.contributor.authorBayona Revilla, Víctor
dc.contributor.authorSánchez Sanz, Mario
dc.contributor.authorFernández Tarrazo, Eduardo Antonio
dc.contributor.authorKindelan Segura, Manuel
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-04-21T12:35:13Z
dc.date.available2023-06-01T23:00:07Z
dc.date.issued2021-06-01
dc.description.abstractNew micro-devices, such as unmanned aerial vehicles or micro-robots, have increased the demand of a new generation of small-scale combustion power system that go beyond the energy-density limitations of batteries or fuel cells. The characteristics short residence times and intense heat losses reduce the efficiency of combustion-based devices, a key factor that requires of an acute modelling effort to understand the competing physicochemical phenomena that hamper their efficient operation. With this objective in mind, this paper is devoted to the development of a high-order meshfree method to model combustion inside complex geometries using radial basis functions-generated finite differences (RBF-FD) based on polyharmonic splines (PHS) augmented with multivariate polynomials (PHS+poly). In our model, the combustion chamber of a micro-rotary engine is simulated by a system of unsteady reaction-diffusion equations coupled with a steady flow passing a bidimensional stenotic channel of great slenderness. The conversion efficiency is characterized by identifying the different combustion regimes that emerged as a function of the ignition point. We show that PHS+poly based RBF-FD is able to achieve high-order algebraic convergence on scattered node distributions, enabling for node refinement in key regions of the fluid domain. This feature makes it specially well adapted to integrate problems in irregular geometries with front-like solutions, such as reactive fronts or shock waves. Several numerical tests are carried out to demonstrate the accuracy and effectiveness of our approach.en
dc.description.sponsorshipVB was supported by Spanish MECD Grant FIS2016-77892-R. MSS and EFT acknowledge the financial support of the Spanish Government under projects ENE2015-65852-C2-1-R and PID2019-108592RB-C41 (MINECO/FEDER,UE).
dc.identifier.bibliographicCitationBayona, V., Sánchez-Sanz, M., Fernández-Tarrazo, E., & Kindelan, M. (2021). Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries. Applied Mathematical Modelling, 94, 635-655.
dc.identifier.doihttps://doi.org/10.1016/j.apm.2021.01.032
dc.identifier.issn0307-904X
dc.identifier.publicationfirstpage635
dc.identifier.publicationlastpage655
dc.identifier.publicationtitleApplied Mathematical Modelling
dc.identifier.publicationvolume94
dc.identifier.urihttps://hdl.handle.net/10016/32447
dc.identifier.uxxiAR/0000027193
dc.language.isoeng
dc.publisherElsevier
dc.relation.projectIDGobierno de España. ENE2015-65852-C2-1-R
dc.relation.projectIDGobierno de España. FIS2016-77892-R
dc.relation.projectIDGobierno de España. PID2019-108592RB-C41
dc.rights© 2021 Elsevier Inc.
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.ecienciaMaterialeses
dc.subject.otherRBF-FDen
dc.subject.otherRadial basis functionsen
dc.subject.otherMeshfreeen
dc.subject.otherMicro-combustionen
dc.subject.otherLaminar flamesen
dc.subject.otherStenotic flowsen
dc.titleMicro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometriesen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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