A quasi‐dynamic procedure for coupled thermal simulations

Errera, Marc-Paul; Baqué, Bénédicte

doi:10.1002/fld.3782

Cited by 39 publications

(20 citation statements)

References 44 publications

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“…However, a converged solution based on HTC does not necessarily lead to a full enforcement of the physical temperature and flux continuity at the interface. Note that the HTC-based approach may be regarded as a kind of Robin type of boundary condition, which has been extensively studied recently in the context of CHT coupling, for example, [11,13]. Once the HTC h and f T f are known and the solid thermal conductivity k is given, the boundary condition for the solid domain can be simply written as follows (y n is the wall normal distance):…”

Section: 33mentioning

confidence: 99%

“…[4,[10][11][12][13]). [11,13]). Although as shown by Giles [14], a solid temperature (Dirichlet) condition taken for the fluid domain and a heat flux (Neumann) condition for the solid domain should be stable; recent stability analyses suggest a mixed (Robin) condition gives a faster convergence (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…The quasi-steady approach has been widely adopted recently with various flow fidelities (e.g. [4,[10][11][12][13]). As far as the fluid-solid interfacing is concerned, considerable attention has been paid to the convergence behaviour.…”

Section: Introductionmentioning

confidence: 99%

“…Although as shown by Giles [14], a solid temperature (Dirichlet) condition taken for the fluid domain and a heat flux (Neumann) condition for the solid domain should be stable; recent stability analyses suggest a mixed (Robin) condition gives a faster convergence (e.g. [11,13]). It is worth noting however that the physical interfacing condition of the temperature and heat flux continuity may be more difficult to be fully realised in a Robin condition than in the direct Dirichlet-Neumann condition.…”

Section: Introductionmentioning

confidence: 99%

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Multi‐scale time integration for transient conjugate heat transfer

Fadl

2016

Numerical Methods in Fluids

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Summary The quasi‐steady assumption is commonly adopted in existing transient fluid–solid‐coupled convection–conduction (conjugate) heat transfer simulations, which may cause non‐negligible errors in certain cases of practical interest. In the present work, we adopt a new multi‐scale framework for the fluid domain formulated in a triple‐timing form. The slow‐varying temporal gradient corresponding to the time scales in the solid domain has been effectively included in the fluid equations as a source term, whilst short‐scale unsteadiness of the fluid domain is captured by a local time integration at a given ‘frozen’ large scale time instant. For concept proof, validation and demonstration purposes, the proposed methodology has been implemented in a loosely coupled procedure in conjunction with a hybrid interfacing treatment for coupling efficiency and accuracy. The present results indicate that a much enhanced applicability can be achieved with relatively small modifications of existing transient conjugate heat transfer methods at little extra cost. Copyright © 2016 John Wiley & Sons, Ltd.

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Section: 33mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multi‐scale time integration for transient conjugate heat transfer

Fadl

2016

Numerical Methods in Fluids

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“…Several solver couplings are also dedicated to very specific configurations, with specific geometries or solvers (studies in the fields of space [11], combustion [12,13]). Besides, more and more unsteady applications can be found in the literature [5,[12][13][14][15]21].…”

Section: Introductionmentioning

confidence: 99%

Methodology of numerical coupling for transient conjugate heat transfer

Radenac¹,

Gressier²,

Millan³

2014

Computers & Fluids

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This paper deals with the construction of a conservative method for coupling a fluid mechanics solver and a heat diffusion code. This method has been designed for unsteady applications. Fluid and solid computational domains are simultaneously integrated by dedicated solvers. A coupling procedure is periodically called to compute and update the boundary conditions at the solid/fluid interface. First, the issue of general constraints for coupling methods is addressed. The concept of interpolation scheme is introduced to define the way to compute the interface conditions. Then, the case of the Finite Volume Method is thoroughly studied. The properties of stability and accuracy have been optimized to define the best coupling boundary conditions: the most robust method consists in assigning a Dirichlet condition on the fluid side of the interface and a Robin condition on the solid side. The accuracy is very dependent on the interpolation scheme. Moreover, conservativity has been specifically addressed in our methodology. This numerical property is made possible by the use of both the Finite Volume Method and the corrective method proposed in the current paper. The corrective method allows the cancellation of the possible difference between heat fluxes on the two sides of the interface. This method significantly improves accuracy in transient phases. The corrective process has also been designed to be as robust as possible. The verification of our coupling method is extensively discussed in this article: the numerical results are compared with the analytical solution of an infinite thick plate in a suddenly accelerated flow (and with the results of other coupling approaches).

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Two‐scale conjugate heat transfer solution for micro‐structured surface

2023

Numerical Methods in Fluids

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The primary challenges for simulating a turbulent flow over a micro‐structured surface arise from the two hugely disparate spatial length scales. For fluid–solid coupled conjugate heat transfer (CHT), there is also a time‐scale disparity. The present work addresses the scale disparities based on a two‐scale framework. For the spatial scale disparity, a dual meshing is employed to couple a global coarse‐mesh domain with local fine‐mesh blocks around micro‐structures through source terms generated from the local fine‐mesh and propagated to the global coarse‐mesh domain. The convergence and robustness of the source terms driven coarse‐mesh solution is enhanced by a balanced eddy‐viscosity damping. In this work, the two‐scale method previously developed only for a fluid‐domain is extended to a solid domain so that thermal conduction around micro‐elements can now be resolved accurately and efficiently. The fluid–solid timescale disparity is dealt with by a frequency domain approach. The time‐averaged (zeroth harmonic) is effectively obtained in the same way as steady CHT. And remarkably, wall temperature unsteadiness can be simply obtained from the fluid temperature harmonics through a wall fluid–solid temperature harmonic transfer‐function at minimal computational cost. The developed CHT capability is validated for an experimental internal cooling channel with multiple surface rib‐elements. For a test configuration with 100 micro‐structures, the fluid domain‐only, the solid domain‐only and the fluid–solid coupled CHT solutions are analyzed respectively to examine and demonstrate the validity of the present framework and implementation methods. Some of the results also serve to illustrate the primary underlying working of the methodology.

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A quasi‐dynamic procedure for coupled thermal simulations

Cited by 39 publications

References 44 publications

Multi‐scale time integration for transient conjugate heat transfer

Multi‐scale time integration for transient conjugate heat transfer

Methodology of numerical coupling for transient conjugate heat transfer

Two‐scale conjugate heat transfer solution for micro‐structured surface

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