An implicit high-order k-exact finite-volume approach on vertex-centered unstructured grids for incompressible flows

Ess, Peter; Gerlinger, Peter

doi:10.1016/j.jcp.2021.110629

Cited by 17 publications

(4 citation statements)

References 83 publications

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“…Although it is straightforward to implement first-order FVM, the high-order schemes might still be challenging. Over the decades, the well-known high-order schemes such as k-exact method [3,4,5], Discontinuous Galerkin (DG) [6,7], Multi-moment Constrained finite Volume method(MCV) [8,9,10,11], and Flux Reconstruction(FR)/Correction Procedure via Reconstruction(CPR) [12,13,14] and their variants [15,16,17,18,19] have developed as competitive methods for reconstruction. Though these results show superiority in reformulating high-order polynomials, they all suffer the balance of accuracy and numerical stability around the discontinuity.…”

Section: Introductionmentioning

confidence: 99%

School of Mechanical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China

Zhuang

Huang

et al. 2019

Mathematical Biosciences and Engineering

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The crystallization kinetics and melting behavior of nylon 10,10 in neat nylon 10,10 and in nylon 10,10 -montmorillonite (MMT) nanocomposites were systematically investigated by differential scanning calorimetry. The crystallization kinetics results show that the addition of MMT facilitated the crystallization of nylon 10,10 as a heterophase nucleating agent; however, when the content of MMT was high, the physical hindrance of MMT layers to the motion of nylon 10,10 chains retarded the crystallization of nylon 10,10, which was also confirmed by polarized optical microscopy. However, both nylon 10,10 and nylon 10,10 -MMT nanocomposites exhibited multiple melting be-havior under isothermal and nonisothermal crystallization conditions. The temperature of the lower melting peak (peak I) was independent of MMT content and almost remained constant; however, the temperature of the highest melting peak (peak II) decreased with increasing MMT content due to the physical hindrance of MMT layers to the motion of nylon 10,10 chains.

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Section: Introductionmentioning

confidence: 99%

School of Mechanical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China

Zhuang

Huang

et al. 2019

Mathematical Biosciences and Engineering

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“…The advantage of this approach is that we can ensure monotonicity of the solution which generally is not the case if a pressure correction equation is used. The resulting scheme is termed "ICS-WAF" and is implemented in the in-house code ThetaCOM [29] which is used here to perform the LES.…”

Section: A Numerical Methodsmentioning

confidence: 99%

Investigation of high-frequency thermoacoustic instabilities in a FLOX^® burner using large-eddy simulation and multi resolution proper orthogonal decomposition

Fiolitakis,

Pries,

Lammel

et al. 2024

AIAA SCITECH 2024 Forum

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In this work we investigate high-frequency thermoacoustic instabilities in a FLOX ® gas turbine burner by means of large-eddy simulation (LES). This burner is operated at eight bar pressure with a mixture of hydrogen and natural gas. Experimental data for the pressure oscillations in the combustion chamber are provided here to validate the simulations. The LES is conducted using a splitting scheme for solving the equations for compressible, reactive flows. To model the filtered chemical source terms in LES two different models (namely an assumed probability density function (APDF) model and a thickened flame (TF) model) are used. Time resolved computational data are analyzed using multi resolution proper orthogonal decomposition. It is found that mainly three longitudinal and one mixed transversal-longitudinal modes cause the high-frequency instabilities in the combustor. Computed frequencies of these modes agree excellently with measured frequencies. Amplitudes of the modes are best reproduced by the use of the TF model (the APDF model overestimates the strength of the mixed mode). Further analysis of the computational data obtained with the TF model reveals that the thermodynamic instabilities are caused by an interaction of heat release with hydrodynamic instabilities in the mixing section of the burner.

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“…The incompressible, unstructured, finite volume DLR in-house code ThetaCOM [64,68] is used to perform all simulations. Transport equations are discretized by second order schemes in space and time.…”

Section: Numerical Solvermentioning

confidence: 99%

Influence of operating conditions on flow field dynamics and soot formation in an aero-engine model combustor

Grader

Gerlinger

2023

Combustion and Flame

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An implicit high-order k-exact finite-volume approach on vertex-centered unstructured grids for incompressible flows

Cited by 17 publications

References 83 publications

School of Mechanical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China

School of Mechanical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China

Investigation of high-frequency thermoacoustic instabilities in a FLOX^® burner using large-eddy simulation and multi resolution proper orthogonal decomposition

Influence of operating conditions on flow field dynamics and soot formation in an aero-engine model combustor

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An implicit high-order k-exact finite-volume approach on vertex-centered unstructured grids for incompressible flows

Cited by 17 publications

References 83 publications

School of Mechanical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China

School of Mechanical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China

Investigation of high-frequency thermoacoustic instabilities in a FLOX® burner using large-eddy simulation and multi resolution proper orthogonal decomposition

Influence of operating conditions on flow field dynamics and soot formation in an aero-engine model combustor

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Investigation of high-frequency thermoacoustic instabilities in a FLOX^® burner using large-eddy simulation and multi resolution proper orthogonal decomposition