This study introduces an immersed boundary (IB) method based on coefficient array transformations of discrete equations for local cells and local flow pattern reconstruction, for the simulation of turbulent flow and combustion chemistry inside combustors with complex structure. This IB method is combined with a geometric scanning algorithm that traverses each fluid grid point in the vicinity of the wall, and based on the exact wall positions and normal vectors obtained from the scanning, the coefficient matrices of the individual grid points and their discrete forms of the governing equations are transformed, and the boundary conditions are added implicitly and exactly. The effectiveness of the method is validated through simulations of a cylinder, a gas turbine model combustor [Meier et al., “Spray and flame structure of a generic injector at aeroengine conditions,” in Proceedings of the ASME 2011 Turbo Expo: Power for Land, Sea, and Air (American Society of Mechanical Engineers, 2011), pp. 61–72 and Freitag et al., “Measurement of initial conditions of a kerosene spray from a generic aeroengine injector at elevated pressure,” Atomization Sprays 21, 521 (2011)], and a specific aero-engine combustor, demonstrating precision comparable to traditional body-fitted mesh approaches, especially for complex combustor structures. The simulation demonstrates that the IB method achieves accuracy comparable to a fitted grid when it provides boundary information of similar quality and detail for control equations. The locally reconstructed IB method introduced in this paper successfully delivers high-precision boundary conditions, making it valuable for practical engineering applications.
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April 2024
Research Article|
April 23 2024
An improved immersed boundary method with local flow pattern reconstruction and its validation
Wang Yudong (王煜栋)
;
Wang Yudong (王煜栋)
(Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Software, Validation, Writing – original draft)
School of Energy and Power Engineering, Beihang University
, Beijing 100191, China
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Wang Fang (王方)
;
Wang Fang (王方)
(Conceptualization, Data curation, Funding acquisition, Methodology, Project administration, Resources, Software, Supervision, Writing – review & editing)
School of Energy and Power Engineering, Beihang University
, Beijing 100191, China
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Zhou Jiawei (周佳伟)
;
Zhou Jiawei (周佳伟)
(Data curation, Formal analysis, Methodology, Project administration, Software, Validation, Visualization)
School of Energy and Power Engineering, Beihang University
, Beijing 100191, China
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Jin Jie (金捷)
Jin Jie (金捷)
a)
(Conceptualization, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision)
School of Energy and Power Engineering, Beihang University
, Beijing 100191, China
a)Author to whom correspondence should be addressed: [email protected]
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a)Author to whom correspondence should be addressed: [email protected]
Physics of Fluids 36, 045145 (2024)
Article history
Received:
January 03 2024
Accepted:
April 02 2024
Citation
Wang Yudong, Wang Fang, Zhou Jiawei, Jin Jie; An improved immersed boundary method with local flow pattern reconstruction and its validation. Physics of Fluids 1 April 2024; 36 (4): 045145. https://doi.org/10.1063/5.0195598
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