Title
A projection hybrid high order finite volume/finite element method for incompressible turbulent flows.
Abstract
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.
Year
DOI
Venue
2018
10.1016/j.jcp.2017.10.004
Journal of Computational Physics
Keywords
Field
DocType
Incompressible flows,k–ε model,Species transport,Projection method,Finite volume method,LADER,Finite element method
Order of accuracy,Mathematical optimization,Dykstra's projection algorithm,Mathematical analysis,Galerkin method,Extended finite element method,Finite element method,Finite volume method,Pressure-correction method,Mathematics,Mixed finite element method
Journal
Volume
ISSN
Citations 
353
0021-9991
3
PageRank 
References 
Authors
0.37
10
4
Name
Order
Citations
PageRank
S. Busto140.73
J. L. Ferrín2101.27
Eleuterio F. Toro335126.78
M. Elena Vázquez-Cendón4313.29