scholarly journals Calibration of Spalart-Allmaras model for simulation of corner flow separation in linear compressor cascade

2021 ◽  
pp. 1-16
Author(s):  
Kotaro Matsui ◽  
Ethan Perez ◽  
Ryan Kelly ◽  
Naoki Tani ◽  
Aleksandar Jemcov
Keyword(s):  
Mach Number ◽  
Numerical Simulations ◽  
Turbulence Model ◽  
Flow Separation ◽  
Model Parameters ◽  
Compressor Cascade ◽  
Linear Compressor ◽  
Calibration Process ◽  
Corner Flow ◽  
Linear Compressor Cascade

This study focuses on the calibration of Spalart--Allmaras turbulence model parameters using the Bayesian inference approach to reproduce experimental measurements of corner flow separation in linear compressor cascade. The quantity of interest selected for the calibration process is the pitchwise distribution of Mach number in the wake of the linear compressor cascade. The model parameters are assumed to be random variables obeying uniform prior probability distributions. Sensitivity analysis is used to rank the importance and select the most influential turbulence model parameters for the calibration process. The sensitivity ranking indicates that two model parameters cb1 and kappa are the most influential random variables resulting in a two--parameter Bayesian calibration process. The likelihood distribution is specified in the form of the Gauss distribution to include the experimental uncertainty. The likelihood distribution is used together with prior distribution to compute posterior probabilities of selected model parameters. The polynomial chaos expansion is employed as a surrogate model to reduce the cost of posterior calculation. Numerical simulations with calibrated turbulence parameters show a significant increase in the accuracy of Mach number profile prediction for separated flows in linear compressor cascade. Numerical simulations also demonstrate that the calibrated set of model coefficients produce accurate predictions of the total pressure and Mach number profiles for the range of incidence angles that were not part of the calibration process.

Calibration of Modified Spalart-Allmaras Model Parameters for Linear Compressor Cascade Corner Flow

2022 ◽  
Vol 31 (1) ◽  
pp. 163-172
Author(s):  
Kotaro Matsui ◽  
Ethan Perez ◽  
T. Ryan Kelly ◽  
Naoki Tani ◽  
Aleksandar Jemcov
Keyword(s):  
Model Parameters ◽  
Compressor Cascade ◽  
Linear Compressor ◽  
Corner Flow ◽  
Linear Compressor Cascade

Effects of Turbulent Boundary Conditions on the Prediction of the Secondary Flow Field in a Linear Compressor Cascade

2016 ◽  
Author(s):  
Peter Busse ◽  
Andreas Krug ◽  
Martin Lange ◽  
Konrad Vogeler ◽  
Ronald Mailach
Keyword(s):  
Flow Field ◽  
Boundary Conditions ◽  
Secondary Flow ◽  
Turbulence Model ◽  
Length Scale ◽  
Compressor Cascade ◽  
Linear Compressor ◽  
Turbulent Length Scale ◽  
Linear Compressor Cascade ◽  
Secondary Flow Field

For most technical applications, simulations of the Reynolds-Averaged-Navier-Stokes equations has become a standard analysis tool, since it brings a good compromise between computational accuracy and costs. However, turbulence models have to be implemented to close the system of differential equations. To study the effects of turbulent boundary conditions on the prediction of the secondary flow field in a linear compressor cascade with tip clearance, the state of the art RANS solver TRACE in conjunction with Wilcox’ k-ω-turbulence model is used. Besides a stagnation point anomaly prevention, no turbomachinery specific modifications of the turbulence model are applied. Transition is not considered. The current investigations focus on the influence of the imposed turbulent inlet quantities (k0, ω0) on the development of the wall-bounded flow in the cascade. The turbulent kinetic energy k is basically described as a function of the turbulence intensity level measured in an equivalent experimental setup. For the reconstruction of turbulent fluctuations beyond measuring accessibility in the vicinity of the wall, an analytical approach is proposed and validated with DNS data of turbulent flat plate and fully developed channel flows. To identify the influence of different dissipation rates ω on the characteristics of the secondary flow, the free stream turbulent length scale LtFS is varied in four steps ranging from 0.2 up to 5 millimeters. Additionally, the effects of different span-wise length scale distributions across the inlet flow boundary layer are considered.

Experimental Investigation of Vortex Structure in Corner Region of a Linear Compressor Cascade

1991 ◽  
Author(s):  
Y. P. Tang ◽  
F. Chen ◽  
M. Z. Chen
Keyword(s):  
Boundary Layer ◽  
Experimental Investigation ◽  
Vortex Structure ◽  
Compressor Cascade ◽  
Suction Surface ◽  
Linear Compressor ◽  
Corner Flow ◽  
Linear Compressor Cascade ◽  
End Wall ◽  
Corner Vortex

A detailed experimental investigation was carried out to examine the vortex structure in the corner region (between the end wall and the suction surface of blades) of a linear compressor cascade. A corner vortex was identified in the corner flow in the experiment. The corner vortex sheds from the pressure-driven boundary layer on the end wall in a process of three-dimensional separation. It dominates the corner flow by the strong interaction with the main flow and the boundary layer on the suction surface of blade. The difference between the corner vortex and the well-known passage vortex is discussed. A topology of the vortex structure is proposed. Furthermore, the dynamic effects of the vortex structure has been investigated, which leads to a explanation for the mechanism of corner stall in compressor cascades.

Multiscale Partially Averaged Navier Stokes Approach for the Prediction of Flow in Linear Compressor Cascade With Moving Casing

2011 ◽  
Author(s):  
Domenico Borello ◽  
Giovanni Delibra ◽  
Franco Rispoli
Keyword(s):  
Turbulence Models ◽  
Navier Stokes ◽  
Test Case ◽  
Compressor Cascade ◽  
Preliminary Assessment ◽  
Linear Compressor ◽  
Tip Leakage ◽  
Experimental Campaign ◽  
Elliptic Relaxation ◽  
Linear Compressor Cascade

In this paper we present an innovative Partially Averaged Navier Stokes (PANS) approach for the simulation of turbomachinery flows. The elliptic relaxation k-ε-ζ-f model was used as baseline Unsteady Reynolds Averaged Navier Stokes (URANS) model for the derivation of the PANS formulation. The well established T-FlowS unstructured finite volume in-house code was used for the computations. A preliminary assessment of the developed formulation was carried out on a 2D hill flow that represents a very demanding test case for turbulence models. The turbomachinery flow here investigated reproduces the experimental campaign carried out at Virginia Tech on a linear compressor cascade with tip leakage. Their measurements were used for comparisons with numerical results. The predictive capabilities of the model were assessed through the analysis of the flow field. Then an investigation of the blade passage, where experiments were not available, was carried out to detect the main loss sources.

Numerical Investigation of Intermittent Corner Separation in a Linear Compressor Cascade

2016 ◽  
Author(s):  
Wei Ma ◽  
Feng Gao ◽  
Xavier Ottavy ◽  
Lipeng Lu ◽  
A. J. Wang
Keyword(s):  
Flow Field ◽  
Large Scale ◽  
Leading Edge ◽  
Suction Side ◽  
Detached Eddy Simulation ◽  
Compressor Cascade ◽  
Linear Compressor ◽  
Corner Separation ◽  
Eddy Simulation ◽  
Linear Compressor Cascade

Recently bimodal phenomenon in corner separation has been found by Ma et al. (Experiments in Fluids, 2013, doi:10.1007/s00348-013-1546-y). Through detailed and accurate experimental results of the velocity flow field in a linear compressor cascade, they discovered two aperiodic modes exist in the corner separation of the compressor cascade. This phenomenon reflects the flow in corner separation is high intermittent, and large-scale coherent structures corresponding to two modes exist in the flow field of corner separation. However the generation mechanism of the bimodal phenomenon in corner separation is still unclear and thus needs to be studied further. In order to obtain instantaneous flow field with different unsteadiness and thus to analyse the mechanisms of bimodal phenomenon in corner separation, in this paper detached-eddy simulation (DES) is used to simulate the flow field in the linear compressor cascade where bimodal phenomenon has been found in previous experiment. DES in this paper successfully captures the bimodal phenomenon in the linear compressor cascade found in experiment, including the locations of bimodal points and the development of bimodal points along a line that normal to the blade suction side. We infer that the bimodal phenomenon in the corner separation is induced by the strong interaction between the following two facts. The first is the unsteady upstream flow nearby the leading edge whose angle and magnitude fluctuate simultaneously and significantly. The second is the high unsteady separation in the corner region.

scholarly journals Tip Leakage Flow in Linear Compressor Cascade

1993 ◽  
Author(s):  
S. Kang ◽  
C. Hirsch
Keyword(s):  
Design Flow ◽  
Tip Clearance ◽  
Leakage Flow ◽  
Compressor Cascade ◽  
Tip Leakage Flow ◽  
Linear Compressor ◽  
Tip Leakage ◽  
Flow Mixing ◽  
Internal Loss ◽  
Linear Compressor Cascade

Tip leakage flow in a linear compressor cascade of NACA 65-1810 profiles is investigated, for tip clearance levels of 1.0, 2.0 and 3.25 percent of chord at design and off-design flow conditions. Data, velocity and pressures, are collected from three transverse sections inside tip clearance and sixteen sections within flow passage. Tip separation vortex influence is identified from the data. Leakage flow mixing is clearly present inside the clearance and has a significant influence on the internal loss.

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