RT Journal Article
T1 A projection hybrid high order finite volume/finite element method for incompressible turbulent flows
A1 Busto Ulloa, Saray
A1 Ferrín González, José Luis
A1 Toro, Eleuterio Francisco
A1 Vázquez Cendón, María Elena
K1 Incompressible flows
K1 k–ε model
K1 Species transport
K1 Projection method
K1 Finite volume method
K1 LADER
K1 Finite element method
AB In this paper the projection hybrid FV/FE method presented in [1] is extended to account for species transport equations. Furthermore, turbulent regimes are also considered thanks to the k–ε model. Regarding the transport diffusion stage new schemes of high order of accuracy are developed. The CVC Kolgan-type scheme and ADER methodology are extended to 3D. The latter is modified in order to profit from the dual mesh employed by the projection algorithm and the derivatives involved in the diffusion term are discretized using a Galerkin approach. The accuracy and stability analysis of the new method are carried out for the advection–diffusion–reaction equation. Within the projection stage the pressure correction is computed by a piecewise linear finite element method. Numerical results are presented, aimed at verifying the formal order of accuracy of the scheme and to assess the performance of the method on several realistic test problems.
PB Elsevier
SN 1090-2716
YR 2017
FD 2017-11-12
LK https://hdl.handle.net/10347/38149
UL https://hdl.handle.net/10347/38149
LA eng
NO Busto, Ferrín, Toro, & Vázquez-Cendón. (2018). A projection hybrid high order finite volume/finite element method for incompressible turbulent flows. Journal of Computational Physics, 353, 169-192. https://doi.org/10.1016/J.JCP.2017.10.004
NO This work was financially supported by Spanish MEIC projects MTM2008-02483, CGL2011-28499-C03-01 and MTM2013-43745-R; by the Spanish MECD under grant FPU13/00279; by the Xunta de Galicia Consellería de Cultura Educación e Ordenación Universitaria under grant Axudas de apoio á etapa predoutoral do Plan I2C; by Xunta de Galicia and FEDER under research project GRC2013-014 and by Fundación Barrié under grant Becas de posgrado en el extranjero
DS Minerva
RD 22 abr 2026