期刊
JOURNAL OF SCIENTIFIC COMPUTING
卷 78, 期 1, 页码 321-350出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-018-0769-8
关键词
Hybridizable discontinuous Galerkin; Continuous Galerkin; Coupling; Navier-Stokes; Convection-diffusion; Conjugate heat transfer
资金
- Erasmus Mundus Joint Doctorate SEED project (European Commission) [2013-1436/001-001-EMJD]
- Fundacao para a Ciencia e a Tecnologia (FCT) [UID/ECI/04625/2013]
- DAFOH2 project (Ministerio de Economia y Competitividad) [MTM2013-46313-R]
- Catalan government (Generalitat de Catalunya) [2009SGR875]
- Fundação para a Ciência e a Tecnologia [UID/ECI/04625/2013] Funding Source: FCT
A coupling strategy between hybridizable discontinuous Galerkin (HDG) and continuous Galerkin (CG) methods is proposed in the framework of second-order elliptic operators. The coupled formulation is implemented and its convergence properties are established numerically by using manufactured solutions. Afterwards, the solution of the coupled Navier-Stokes/convection-diffusion problem, using Boussinesq approximation, is formulated within the HDG framework and analysed using numerical experiments. Results of Rayleigh-Benard convection flow are also presented and validated with literature data. Finally, the proposed coupled formulation between HDG and CG for heat equation is combined with the coupled Navier-Stokes/convection diffusion equations to formulate a new CG-HDG model for solving conjugate heat transfer problems. Benchmark examples are solved using the proposed model and validated with literature values. The proposed CG-HDG model is also compared with a CG-CG model, where all the equations are discretized using the CG method, and it is concluded that CG-HDG model can have a superior computational efficiency when compared to CG-CG model.
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