Higher order numerical method for aeroelastic problems
Journal Title: Проблеми машинобудування - Year 2018, Vol 21, Issue 1
Abstract
The accuracy of determining the conditions for the possible onset of uncontrolled oscillations of turbine blades depends on the accuracy and detail of the aerodynamic problem solution. An increased accuracy of the simulation is necessary for complex flows in which shocks waves are present, i.e. in trans- and supersonic flows. The main goal of this paper is to evaluate the influence of the order of numerical scheme approximation on the unsteady characteristics of the blade cascade in the transonic gas flow. This work presents the results of simulating transonic flow in the cascade of oscillating turbine profiles using methods of different accuracy, and a quantitative evaluation of the correspondence of the results to the order of approximation is made. A method for numerical simulation of viscous compressible gas flow through the cascade of oscillating blades is presented. The method is designed to solve the unsteady two-dimensional Reynolds averaged Navier-Stokes equations, which are closed by turbulence modeling equation. For the approximation of the initial equations four different numerical schemes are used: the original Godunov scheme of a first order approximation, the Godunov-Kolgan scheme having a locally second-order approximation, the ENO decomposition of a second order of approximation and the ENO decomposition, which has a locally third order approximation. A cascade of turbine profiles was chosen as a study object, which was examined at the École Polytechnique Fédérale de Lausanne. A detailed analysis of the obtained calculation results was performed. The results were compared with the results of numerical simulation of the second and first order approximation, as well as with experimental data. It is shown that the numerical simulation of complex transonic flows requires the application of methods with increased accuracy. An insufficient order of approximation can sometimes lead to a significant distortion of the results, right up to the sign change in the work of the aerodynamic forces. Along with the application of higher order schemes, it is necessary to use adaptive computational grids, which take into account the flow features and do not introduce additional errors to the region of large gradients of values.
Authors and Affiliations
Yu. Bykov
Keywords
Related Articles
- EP ID EP622034
- DOI -
- Views 143
- Downloads 0
Modeling Crack Initiation in a Composite Under Bending
It is known that multi-component structures are more reliable and durable than homogeneous ones. At the design stage of new structures from composite materials, it is necessary to take into account the cases when cracks...
Design Forecasting of Thermal Strength and Resource of Steam Turbine structural Components
Effective and reliable operation of power units is closely connected with the provision of the thermal strength and durability of their elements and components. The needs of the modern energy market lead to the operation...
Optimal Design of Bending Elements in Conditions of Corrosion and Material Damage
During operation, many of the critical elements of building and engineering structures are in difficult operating conditions (high temperature, aggressive environment, etc.). In this case, they may be subject to a double...
Use of a Hydrogen Metal Hydride System to Increase Glass Production Efficiency
Today, the most effective means of using the energy potential of the secondary energy resources of industrial enterprises is the use of cogeneration utilization systems. This makes it possible to concurrently obtain both...
Major Stress-Strain State of Double Support Multilayer Beams Under Concentrated Load. Part 1. Model Construction
The development of composite technologies contributes to their being widely introduced into the practice of designing modern different-purpose structures. Reliable prediction of the stress-strain state of composite eleme...