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Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations
dc.contributor.author | Parada Bustelo, Samuel |
dc.contributor.author | Codina, Ramon |
dc.contributor.author | Baiges Aznar, Joan |
dc.contributor.other | Universitat Politècnica de Catalunya. Doctorat en Enginyeria Civil |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2021-04-21T12:31:03Z |
dc.date.available | 2023-02-11T01:27:38Z |
dc.date.issued | 2021-05 |
dc.identifier.citation | Parada, S.; Codina, R.; Baiges, J. Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations. "Journal of computational physics", Maig 2021, vol. 433, p. 110017:1-110017:27. |
dc.identifier.issn | 0021-9991 |
dc.identifier.uri | http://hdl.handle.net/2117/344091 |
dc.description.abstract | In this work we address the compressible Navier-Stokes equations written in the so-called primitive formulation. The proposed methodology is a finite-element solver based on a fractional step scheme in time, which allows to uncouple the calculation of the problem unknowns providing important savings in computational cost. In addition, we include a stabilization technique within the Variational Multi-Scale framework and, in particular, we consider orthogonal and dynamic definitions for the subscales. In order to overcome any wave reflections which may arise in aeroacoustic simulations at the low compressibility regime, we present a method for enforcing boundary conditions based on a combination of a zero order non-reflecting condition plus the weak imposition of Dirichlet boundary conditions over the external contours. Several representative benchmark flow simulations are performed, which demonstrate the suitability of the proposed algorithm for the subsonic regime. |
dc.description.sponsorship | Samuel Parada gratefully acknowledges the support received from the Agència de Gestió d'Ajuts Universitaris i de Recerca through the predoctoral FI grant 2019-FI-B-00607. Joan Baiges gratefully acknowledges the support of the Spanish Government through the Ramón y Cajal grant RYC-2015-17367. Ramon Codina gratefully acknowledges the support received from the ICREA Acadèmia Research Program of the Catalan Government. This work was partially funded through the TOP-FSI: RTI2018-098276-B-I00 project of the Spanish Government. CIMNE is a recipient of a “Severo Ochoa Programme for Centers of Excellence in R&D” grant (CEX2018-000797-S) by the Spanish Ministry of Economy and Competitiveness. |
dc.language.iso | eng |
dc.rights | © 2019. Elsevier |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Navier-Stokes equations--Numerical solutions |
dc.subject.other | Compressible flow |
dc.subject.other | Variational multiscale method |
dc.subject.other | Fractional step schemes |
dc.subject.other | Finite element method |
dc.subject.other | Weak imposition of boundary conditions |
dc.title | Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations |
dc.type | Article |
dc.subject.lemac | Equacions de Navier-Stokes -- Mètodes numèrics |
dc.contributor.group | Universitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica |
dc.identifier.doi | 10.1016/j.jcp.2020.110017 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0021999120307919 |
dc.rights.access | Open Access |
local.identifier.drac | 31206493 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-098276-B-I00/ES/OPTIMIZACION TOPOLOGICA DE ESTRUCTURAS SUJETAS A INTERACCION FLUIDO-ESTRUCTURA/ |
local.citation.author | Parada, S.; Codina, R.; Baiges, J. |
local.citation.publicationName | Journal of computational physics |
local.citation.volume | 433 |
local.citation.startingPage | 110017:1 |
local.citation.endingPage | 110017:27 |
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