Hybrid CFD/low-order modeling of nonlinear thermoacoustic oscillations

Jaensch, S.; Merk, Michael; Gopalakrishnan, E. A.; Bomberg, Sebastian; Emmert, Thomas; Sujith, R. I.; Polifke, Wolfgang

doi:10.1016/j.proci.2016.08.006

Cited by 37 publications

(29 citation statements)

References 21 publications

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“…10 (Rayleigh, 1896) (Merkli and Thomann, 1975) 1 ( , 2006) 1963 Gifford (Gifford and Longsworth, 1964) ( , 2000) 30 K (Mikulin et al, 1984, Zhu et al, 1990) ( , 1990) ( , 2002) (De Jong et al, 2013, El-Rahman et al, 2012, El-Rahman and Abdel-Rahman, 2013, Jaensch et al, 2017, , 2002, Skaria et al, 2015, Sun et al, 2016 (El-Rahman and Abdel-Rahman, 2014, Han et al, 2012, Holzinger et al, 2015 ωτ…”

Section: Hot Endmentioning

confidence: 99%

Numerical analysis of a standing-wave thermoacoustic refrigerator by one-dimensional simulation

Irie

Iwamoto

Kiyono

et al. 2019

Transactions of the JSME (In Japanese)

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In this paper, a numerical simulation for a standing-wave thermoacoustic refrigerator using the equations of conservation law are proposed. In this simulation, the gas flow in the thermoacoustic refrigerator is expressed by the quasi onedimensional model to reduce the computational load. Since the equations of conservation law are solved directly in the simulation in contrast to the conventional analysis applying the thermoacoustic theory, our simulation is excellent in adaptability and extensibility and can be used for developing actual machines. The equations of continuity, motion, energy and the state of the gas were solved utilizing a TVD scheme for the spatial difference and Heun's method for the time difference. The numerical simulations were performed on ten types of thermoacoustic refrigerators having regenerators of different thermophysical properties and hydraulic diameters, and the simulation results were compared with the corresponding experimental results. As for the results, a heat pump effect, or thermoacoustic refrigerating effect, was observed successfully by means of our simulation. The highest thermoacoustic refrigerating effect was obtained when a product ωτ of angular frequency of sound wave ω and thermal relaxation time τ was around 5, and the result agreed well with the previous research. Furthermore, the simulation results of thermoacoustic refrigerating effect for the different types of refrigerators were consistent with experimental results within an error of 10%. These results verify the validity of our proposed simulation method.

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Section: Hot Endmentioning

confidence: 99%

Numerical analysis of a standing-wave thermoacoustic refrigerator by one-dimensional simulation

Irie

Iwamoto

Kiyono

et al. 2019

Transactions of the JSME (In Japanese)

View full text Add to dashboard Cite

show abstract

“…(10) directly. In computationally intensive frameworks such as DNS/LES of turbulent flows, a more efficient compact-in-time method is required for the evaluation of A in n (t), as shown in recent papers on this topic [1][2][3][4]14,[22][23][24][25][26].…”

Section: Causalitymentioning

confidence: 99%

“…In the combustion community, a state-space approach, called Characteristic Based state-space Boundary Condition (CB-SBC), has been developed by Schuermans et al [33], Kaess et al [22] and Jaensch et al [24], and used in Navier-Stokes simulations [14,22,24,26]. CBSBC relies on control theory of linear time-invariant (LTI) systems to build a reflection model through first-order differential matrix equations [24].…”

Section: Causalitymentioning

confidence: 99%

“…Indeed, for the pure time delay imposition problem, CSCBC modeling requires a high number of Padé polynomial coefficients leading to ill-conditioned matrices, making this formulation difficult to use. A second formulation of CBSBC was proposed by Jaensch et al [14] specifically to impose pure time delays. This approach consists in implementing a Linearized Euler Equation (LEE) solver for each of the impedance boundary conditions in the domain and performing the temporal integration using a first-order upwind scheme.…”

Section: Causalitymentioning

confidence: 99%

“…in time domain solvers fall under the category of Time Domain Impedance Boundary Conditions (TDIBC). While existing TDIBC methods [1][2][3][4][9][10][11][12][13][14] have demonstrated their ability to achieve such goal, one case has not yet be considered in the Computational Aeroacoustics (CAA) community: a pure time delay. Developing Delayed-Time Domain Impedance Boundary Conditions (D-TDIBC), i.e.…”

Section: Introductionmentioning

confidence: 99%

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