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SPH-ALE Scheme for Weakly Compressible Viscous Flow with a Posteriori Stabilization
dc.contributor.author | Eirís, Antonio | |
dc.contributor.author | Ramírez, Luis | |
dc.contributor.author | Fernández-Fidalgo, Javier | |
dc.contributor.author | Couceiro, Iván | |
dc.contributor.author | Nogueira, Xesús | |
dc.date.accessioned | 2021-02-01T18:58:51Z | |
dc.date.available | 2021-02-01T18:58:51Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Eirís A, Ramírez L, Fernández-Fidalgo J, Couceiro I, Nogueira X. SPH-ALE Scheme for Weakly Compressible Viscous Flow with a Posteriori Stabilization. Water. 2021; 13(3):245. https://doi.org/10.3390/w13030245 | es_ES |
dc.identifier.uri | http://hdl.handle.net/2183/27258 | |
dc.description.abstract | [Abstract] A highly accurate SPH method with a new stabilization paradigm has been introduced by the authors in a recent paper aimed to solve Euler equations for ideal gases. We present here the extension of the method to viscous incompressible flow. Incompressibility is tackled assuming a weakly compressible approach. The method adopts the SPH-ALE framework and improves accuracy by taking high-order variable reconstruction of the Riemann states at the midpoints between interacting particles. The moving least squares technique is used to estimate the derivatives required for the Taylor approximations for convective fluxes, and also provides the derivatives needed to discretize the viscous flux terms. Stability is preserved by implementing the a posteriori Multi-dimensional Optimal Order Detection (MOOD) method procedure thus avoiding the utilization of any slope/flux limiter or artificial viscosity. The capabilities of the method are illustrated by solving one- and two-dimensional Riemann problems and benchmark cases. The proposed methodology shows improvements in accuracy in the Riemann problems and does not require any parameter calibration. In addition, the method is extended to the solution of viscous flow and results are validated with the analytical Taylor–Green, Couette and Poiseuille flows, and lid-driven cavity test cases. | es_ES |
dc.description.sponsorship | This research was funded by Ministerio de Ciencia, Innovación y Universidades of the Spanish Government Grant #RTI2018-093366-B-I00, by the Consellería de Educación e Ordenación Universitaria of the Xunta de Galicia (grant#ED431C 2018/41) | es_ES |
dc.description.sponsorship | Xunta de Galicia; ED431C 2018/41 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.relation | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-093366-B-I00/ES/NUEVOS METODOS SIN MALLA PARA LA SIMULACION NUMERICA DE FLUJOS TURBULENTOS Y PROBLEMAS DE MULTIFISICA. APLICACION AL DESARROLLO DE SISTEMAS DE GENERACION DE ENERGIA RENOVABLE | |
dc.relation.uri | https://doi.org/10.3390/w13030245 | es_ES |
dc.rights | Atribución 4.0 Internacional | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | High-order methods | es_ES |
dc.subject | Smoothed particle hydrodynamics | es_ES |
dc.subject | Meshless methods | es_ES |
dc.subject | Multi-dimensional optimal order detection | es_ES |
dc.subject | Moving least squares | es_ES |
dc.subject | Weakly compressible | es_ES |
dc.title | SPH-ALE Scheme for Weakly Compressible Viscous Flow with a Posteriori Stabilization | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.access | info:eu-repo/semantics/openAccess | es_ES |
UDC.journalTitle | Water | es_ES |
UDC.volume | 13 | es_ES |
UDC.issue | 3 | es_ES |
dc.identifier.doi | 10.3390/w13030245 |
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