M. El-Amrani
A Galerkin-Characteristic Method for Large-Eddy Simulation of Turbulent Flow and Heat Transfer
El-Amrani, M.; Seaid, M.
Abstract
This work aims at the development of a nonoscillatory Galerkin-characteristic method for large-eddy simulation of turbulent flow and heat transfer. The method is based on combining the modified method of characteristics with a Galerkin finite element discretization of the incompressible Navier–Stokes/Boussinesq equations in primitive variables. It can be interpreted as a fractional step technique where the convective part and the Stokes/Boussinesq part are treated separately. A limiting procedure is implemented for the reconstruction of numerical solutions at the departure points. The main feature of the proposed Galerkin-characteristic method is that, due to the Lagrangian treatment of convection, the standard Courant–Friedrichs–Levy condition is relaxed, and the time truncation errors are reduced in the Stokes/Boussinesq part. To solve the generalized Stokes/Boussinesq problem we implement a conjugate gradient algorithm. This method avoids projection techniques and does not require any special correction for the pressure. We verify the method for an advection-diffusion equation with a known analytical solution and for the benchmark problem of mixed convection flow in a squared cavity. We also present numerical results for a problem of heat transport in the Strait of Gibraltar. The Galerkin-characteristic method has been found to be feasible and satisfactory.
Citation
El-Amrani, M., & Seaid, M. (2008). A Galerkin-Characteristic Method for Large-Eddy Simulation of Turbulent Flow and Heat Transfer. SIAM Journal on Scientific Computing, 30(6), 2734-2754. https://doi.org/10.1137/080720711
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 26, 2008 |
Online Publication Date | Oct 13, 2008 |
Publication Date | Oct 13, 2008 |
Deposit Date | Mar 20, 2018 |
Publicly Available Date | Mar 20, 2018 |
Journal | SIAM Journal on Scientific Computing |
Print ISSN | 1064-8275 |
Electronic ISSN | 1095-7197 |
Publisher | Society for Industrial and Applied Mathematics |
Peer Reviewed | Peer Reviewed |
Volume | 30 |
Issue | 6 |
Pages | 2734-2754 |
DOI | https://doi.org/10.1137/080720711 |
Keywords | Galerkin-characteristic method, Large-eddy simulation, Heat transfer, Finite element method, Mixed convection, Sea-surface temperature |
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Copyright Statement
© 2008 Society for Industrial and Applied Mathematics
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