The multi-medium fluid flow around a supersonic sea-skimming flight is featured by the detached/attached shock wave, separation shock wave, and the reflected wave from the free surface. The complex wave structure and high nonlinearity pose a great challenge in accurate and stable numerical simulation. In this paper, a numerical model based on the high-order Runge–Kutta discontinuous Galerkin method is established to resolve the above problem. Based on the fact that the dimensionless vertical velocity is small, the air–water interface is linearized and a modified flux scheme is proposed to simplify the treatment of the multi-medium problem. A block-based adaptive mesh refinement scheme is adopted to capture the complex wave structure with the new nodes projected on the curved boundary. Finally, the numerical simulation of supersonic sea-skimming flight of the National Advisory Committee for Aeronautics 0012 airfoil is carried out by using the above-mentioned simplified numerical model based on the scheme of partition solution. The results show that the model can perform high-resolution simulations for the shock wave structure in various scenes. Meanwhile, the Mach number and distance between the airfoil and free surface are important factors affecting the structural characteristics of the shock wave systems and the airfoil loading characteristics. When the reflected shock wave acts on the airfoil's lower boundary, there will be a positive moment effect to make the airfoil dive, and the occurrence of this dangerous scene should be avoided. The relevant conclusions obtained can provide a reference for further research and engineering design.
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December 2023
Research Article|
December 12 2023
Numerical simulation of supersonic sea-skimming flight based on discontinuous Galerkin method with adaptive mesh refinement framework
Qi Kong (孔琦)
;
Qi Kong (孔琦)
(Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Project administration, Software, Validation, Visualization, Writing – original draft, Writing – review & editing)
1
College of Shipbuilding Engineering, Harbin Engineering University
, Harbin 150001, China
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Yun-Long Liu (刘云龙)
;
Yun-Long Liu (刘云龙)
a)
(Conceptualization, Data curation, Formal analysis, Funding acquisition, Methodology, Project administration, Resources, Software, Supervision, Writing – review & editing)
1
College of Shipbuilding Engineering, Harbin Engineering University
, Harbin 150001, China
a)Author to whom correspondence should be addressed: [email protected]
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Shan Ma (马山)
;
Shan Ma (马山)
(Conceptualization, Formal analysis, Investigation, Supervision, Writing – review & editing)
1
College of Shipbuilding Engineering, Harbin Engineering University
, Harbin 150001, China
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A-Man Zhang (张阿漫)
A-Man Zhang (张阿漫)
(Conceptualization, Formal analysis, Funding acquisition, Project administration, Supervision, Writing – review & editing)
1
College of Shipbuilding Engineering, Harbin Engineering University
, Harbin 150001, China
2
Nanhai Institute, Harbin Engineering University
, Sanya 572024, China
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a)Author to whom correspondence should be addressed: [email protected]
Physics of Fluids 35, 126109 (2023)
Article history
Received:
September 13 2023
Accepted:
November 19 2023
Citation
Qi Kong, Yun-Long Liu, Shan Ma, A-Man Zhang; Numerical simulation of supersonic sea-skimming flight based on discontinuous Galerkin method with adaptive mesh refinement framework. Physics of Fluids 1 December 2023; 35 (12): 126109. https://doi.org/10.1063/5.0176472
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