A high order time-accurate loosely-coupled solution algorithm for unsteady conjugate heat transfer problems

Kazemi-Kamyab, V.; Zuijlen, A.H. van; Bijl, H.

doi:10.1016/j.cma.2013.05.021

Cited by 19 publications

(9 citation statements)

References 16 publications

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“…A temporally consistent Rhie-Chow method which preserves the order of accuracy of the applied higher order temporal discretisation schemes has been developed by Kazemi-Kamyab et al [18] and Kazemi-Kamyab [38]. They used higher order DIRK schemes in their analyses.…”

Section: Consistent Interpolation Methodsmentioning

confidence: 99%

“…They used higher order DIRK schemes in their analyses. Kazemi-Kamyab et al [18] and Kazemi-Kamyab [38] used the following interpolations…”

Section: Consistent Interpolation Methodsmentioning

confidence: 99%

“…One approach to compute the cell face Runge-Kutta source terms F i f consists of linear interpolation of the corresponding cell center values F i P . In [38], it is demonstrated that the temporal order of the applied DIRK schemes (3rd-5th) reduces to first order when this approach is used. In contrast, Kazemi-Kamyab et al [18] and Kazemi-Kamyab [38] demonstrate that the temporal order of these schemes is preserved when the following approach is used to compute the source terms F i f : at the end of each stage i, the face velocity u ilm f is known from Eq.…”

Section: Spatial Discretisationmentioning

confidence: 99%

See 2 more Smart Citations

Analysis of the numerical dissipation rate of different Runge–Kutta and velocity interpolation methods in an unstructured collocated finite volume method in OpenFOAM®

Komen

Frederix

Coppen

et al. 2020

Computer Physics Communications

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Section: Consistent Interpolation Methodsmentioning

confidence: 99%

“…They used higher order DIRK schemes in their analyses. Kazemi-Kamyab et al [18] and Kazemi-Kamyab [38] used the following interpolations…”

Section: Consistent Interpolation Methodsmentioning

confidence: 99%

Section: Spatial Discretisationmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of the numerical dissipation rate of different Runge–Kutta and velocity interpolation methods in an unstructured collocated finite volume method in OpenFOAM®

Komen

Frederix

Coppen

et al. 2020

Computer Physics Communications

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“…The study of transfer heat problems between different substances, for instance, solids of different types or solids and fluids, are considered by several researchers [15][16][17][18][19][20][21][22][23]. The motivations are of different types: simple examples, analytical solutions, creation of mathematical models, different applications, theoretical study, and numerical simulations [15].…”

Section: Introductionmentioning

confidence: 99%

A Numerical Method for a Heat Conduction Model in a Double-Pane Window

Coronel

Huancas

Lozada

et al. 2022

Axioms

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In this article, we propose a one-dimensional heat conduction model for a double-pane window with a temperature-jump boundary condition and a thermal lagging interfacial effect condition between layers. We construct a second-order accurate finite difference scheme to solve the heat conduction problem. The designed scheme is mainly based on approximations satisfying the facts that all inner grid points has second-order temporal and spatial truncation errors, while at the boundary points and at inter-facial points has second-order temporal truncation error and first-order spatial truncation error, respectively. We prove that the finite difference scheme introduced is unconditionally stable, convergent, and has a rate of convergence two in space and time for the L∞-norm. Moreover, we give a numerical example to confirm our theoretical results.

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“…Concerning the rapid solving approaches of CHT, some researchers have proposed a loose-coupled transient conjugate heat transfer method (Stokos et al , 2015; Hooper et al , 2006; Kazemi-Kamyab et al , 2014a; Bauman et al , 2011), which conserves the unsteady characteristic by respectively solving each part in the transient state and exchanging the real-time information by the boundary conditions or moving mesh. This method can also use different transient update steps for different physical variables (Kazemi-Kamyab et al , 2013, 2014b). Nevertheless, the research results achieved at present have implied that its enhancement in the computational efficiency is considerably limited owing to retaining the calculation of the transient flow with too little characteristic time.…”

Section: Introductionmentioning

confidence: 99%

A shortcut algorithm for solving long-term conjugate heat transfer problems based on quasi-steady flow

Dong

Meng

Guo³

et al. 2017

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Purpose The time of tightly coupled transient calculation and the accuracy of conventional loosely coupled algorithm make it difficult to meet the engineering design requirements for long-term conjugate heat transfer (CHT) problems. The purpose of this paper is to propose a new loosely coupled algorithm with sufficient accuracy and less calculation time on the basis of the quasi-steady flow field. Through this algorithm, it will be possible to reduce the update frequency of the flow field and devise a strategy by which to reasonably determine the update steps. Design/methodology/approach In this paper, the new algorithm updates the flow field by solving the steady governing equations in the fluid region and by calculating the transient temperature distribution until the next update of the fluid flow, by means of solving the transient energy equations in the entire computational domain. The authors propose a strategy by which to determine the update step, by using the engineering empirical formula of the Nusselt number, on the basis of the changes of the inlet and outlet boundary conditions. Findings Taking a duct heated by an inner forced air flow heating process as an example, the comparison results for the tightly coupled transient calculation by Fluent software shows that the new algorithm is able to significantly reduce the calculation time of the transient temperature distribution with reasonable accuracy. For example, the respective computing times are reduced to 22.8 and 40 per cent, while the duct wall temperature deviations are 7 and 5 per cent, using the two flow update time steps of 100 and 50 s on the variable inlet-flow rate conditions. Originality/value The new algorithm outlined in this paper further improves the calculated performance and meets the engineering design requirements for long-term CHT problems.

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A high order time-accurate loosely-coupled solution algorithm for unsteady conjugate heat transfer problems

Cited by 19 publications

References 16 publications

Analysis of the numerical dissipation rate of different Runge–Kutta and velocity interpolation methods in an unstructured collocated finite volume method in OpenFOAM®

Analysis of the numerical dissipation rate of different Runge–Kutta and velocity interpolation methods in an unstructured collocated finite volume method in OpenFOAM®

A Numerical Method for a Heat Conduction Model in a Double-Pane Window

A shortcut algorithm for solving long-term conjugate heat transfer problems based on quasi-steady flow

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