scholarly journals Validation of a 4D Finite Volume Method for Blade Flutter

1996 ◽  
Author(s):  
Pieter Groth ◽  
Hans Mårtensson ◽  
Lars-Erik Eriksson
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Three Dimensional ◽  
Transfinite Interpolation ◽  
Time Space ◽  
Blade Flutter ◽  
Time Marching ◽  
External Flows ◽  
Nicolson Scheme ◽  
Volume Method

A finite volume method for blade flutter analyses, using moving grids is presented and partly validated. The method which solves the unsteady three-dimensional Euler equations is formulated in the four-dimensional time-space domain. An algebraic grid generation technique based on transfinite interpolation is used to move and deform the grid to conform to the blade motion. Fluxes are calculated using a third-order upwind-biased scheme. For time marching both an explicit three-stage Runge-Kutta scheme and a Crank-Nicolson scheme is used. Internal and external flows are calculated using the present method. Calculated results agree well with the corresponding experiments and with results obtained using other methods.

Simulation of Rotor/Stator Interaction With a 4D Finite Volume Method

2002 ◽  
Author(s):  
Bjo¨rn Laumert ◽  
Hans Ma˚rtensson ◽  
Torsten H. Fransson
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Three Dimensional ◽  
Test Case ◽  
Pressure Distributions ◽  
Time Space ◽  
Rotor Stator Interaction ◽  
Pitch Ratio ◽  
Grid Nodes ◽  
Volume Method

A finite volume method for the computation of rotor/stator interaction for stages with arbitrary rotor/stator pitch ratios is presented and partly validated in this paper. The method which solves the unsteady three-dimensional Euler equations is formulated in the four-dimensional time-space domain. The method of time inclination is utilized to account for unequal pitchwise periodicity by distributing time co-ordinates at the grid nodes such that phase lagged boundary conditions can be employed. Calculated results show excellent agreement with the results of a reference solver for the validation test case. Furthermore the method was applied to the simulation of the unsteady flow field in a transonic test turbine stage with a stator/rotor pitch ratio of 1.875. The results were compared with measurements of the unsteady rotor blade pressure and a reference solver calculation where an approximate pitch ratio of 2.0 with a 6.7% scaled rotor geometry was employed. Both computational cases show satisfactory agreement with the experiments for both time averaged pressure distributions and pressure perturbation amplitudes.

Time-Split Finite-Volume Method for Three-Dimensional Blunt-Body Flow

AIAA Journal ◽  
1973 ◽  
Vol 11 (11) ◽  
pp. 1478-1485 ◽  
Author(s):  
ARTHUR W. RIZZI ◽  
MAMORU INOUYE
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Blunt Body ◽  
Three Dimensional ◽  
Volume Method
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