Unsteady aerodynamic forces on vibrating annular cascade blades - Cross-validation of the linear unsteady CFD calculations using the TVD scheme and the double linearization theory

Nobuhiko Yamasaki, Masaaki Hamabe, Masanobu Namba

Research output: Contribution to conferencePaper

Abstract

The paper presents the formulation to compute numerically the unsteady aerodynamic forces on the vibrating annular cascade blades. The formulation is based on the finite volume method, the type, and the TVD scheme, following the UPACS code developed by NAL, Japan. By applying the TVD scheme to the linear unsteady calculations, the precise calculation of the peak of unsteady aerodynamic forces at the shock wave location like the delta function singularity becomes possible without empirical constants. As a further feature of the present paper, results of the present numerical calculation are compared with those of the double linearization theory (DLT), which assumes small unsteady and steady disturbances but the unsteady disturbances are much smaller than the steady disturbances. Since DLT requires far less computational resources than the present numerical calculation, the validation of DLT is quite important from the engineering point of view. Under the conditions of small steady disturbances, a good agreement between these two results is observed, so that the two codes are cross-validated. The comparison also reveals the limitation on the applicability of DLT.

Original languageEnglish
Pages735-744
Number of pages10
DOIs
Publication statusPublished - Dec 1 2002
EventProceedings of the ASME TURBO EXPO 2002: Ceramics Industrial and Cogeneration Structures and Dynamics - Amsterdam, Netherlands
Duration: Jun 3 2002Jun 6 2002

Other

OtherProceedings of the ASME TURBO EXPO 2002: Ceramics Industrial and Cogeneration Structures and Dynamics
CountryNetherlands
CityAmsterdam
Period6/3/026/6/02

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Linearization
Aerodynamics
Computational fluid dynamics
Delta functions
Finite volume method
Shock waves

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Yamasaki, N., Hamabe, M., & Namba, M. (2002). Unsteady aerodynamic forces on vibrating annular cascade blades - Cross-validation of the linear unsteady CFD calculations using the TVD scheme and the double linearization theory. 735-744. Paper presented at Proceedings of the ASME TURBO EXPO 2002: Ceramics Industrial and Cogeneration Structures and Dynamics, Amsterdam, Netherlands. https://doi.org/10.1115/GT2002-30307

Unsteady aerodynamic forces on vibrating annular cascade blades - Cross-validation of the linear unsteady CFD calculations using the TVD scheme and the double linearization theory. / Yamasaki, Nobuhiko; Hamabe, Masaaki; Namba, Masanobu.

2002. 735-744 Paper presented at Proceedings of the ASME TURBO EXPO 2002: Ceramics Industrial and Cogeneration Structures and Dynamics, Amsterdam, Netherlands.

Research output: Contribution to conferencePaper

Yamasaki, N, Hamabe, M & Namba, M 2002, 'Unsteady aerodynamic forces on vibrating annular cascade blades - Cross-validation of the linear unsteady CFD calculations using the TVD scheme and the double linearization theory', Paper presented at Proceedings of the ASME TURBO EXPO 2002: Ceramics Industrial and Cogeneration Structures and Dynamics, Amsterdam, Netherlands, 6/3/02 - 6/6/02 pp. 735-744. https://doi.org/10.1115/GT2002-30307
Yamasaki N, Hamabe M, Namba M. Unsteady aerodynamic forces on vibrating annular cascade blades - Cross-validation of the linear unsteady CFD calculations using the TVD scheme and the double linearization theory. 2002. Paper presented at Proceedings of the ASME TURBO EXPO 2002: Ceramics Industrial and Cogeneration Structures and Dynamics, Amsterdam, Netherlands. https://doi.org/10.1115/GT2002-30307
Yamasaki, Nobuhiko ; Hamabe, Masaaki ; Namba, Masanobu. / Unsteady aerodynamic forces on vibrating annular cascade blades - Cross-validation of the linear unsteady CFD calculations using the TVD scheme and the double linearization theory. Paper presented at Proceedings of the ASME TURBO EXPO 2002: Ceramics Industrial and Cogeneration Structures and Dynamics, Amsterdam, Netherlands.10 p.
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