Turbomachinery CFD Validation with HELYX

For engineers in the aerospace and power generation sectors, the NASA Rotor 67 is one of the most widely used benchmarks for turbomachinery CFD validation. First documented in a seminal 1989 NASA technical paper1, this low-aspect-ratio transonic axial-flow fan rotor presents a a demanding test case for CFD codes, involving high rotational speeds, complex shock wave structures, and significant compressible effects. Accurately predicting its performance is a direct indicator of a solver’s capability for industrial-scale turbomachinery applications.

This study details a comprehensive NASA Rotor 67 CFD validation using HELYX, our open-source software. The goal is to demonstrate the accuracy and efficiency of HELYX in replicating the complete experimental performance map published in NASA Technical Paper 2879, which includes total pressure ratio, efficiency, and detailed local flow phenomena.

The rotor’s design pushes the aerodynamic envelope, operating at a rotational speed of 16,043 rpm with an inlet tip relative Mach number of 1.38. Its 22 blades are designed to achieve a pressure ratio of 1.63 at a mass flow rate of 33.25 kg/s. Accurately predicting its performance across the full operating range, from choke to near-stall conditions, requires a CFD tool that can robustly handle transonic flows and precisely capture boundary layer phenomena. This makes the NASA Rotor 67 an essential CFD validation case for engineers in the aerospace and power generation sectors.

Front view of the NASA Rotor 67 axial compressor rotor geometry, featuring metallic rotor blades arranged around a central hub, used as a benchmark in turbomachinery and CFD research.
NASA Rotor 67 geometry overview.

NASA Rotor 67 CFD Simulation Setup in HELYX

To validate the capabilities of HELYX, a numerical study was conducted replicating the experimental conditions of the rotor-only configuration. To ensure computational efficiency, the simulation focused on a single blade passage, leveraging periodic boundary conditions to model the full 360-degree rotor assembly. This approach is standard practice in the industry and allows for a detailed mesh resolution without incurring prohibitive computational costs.

The objective was to compare key performance indicators — namely the total-to-total pressure ratio and isentropic efficiency — from the HELYX simulation directly against the measured values published in NASA Technical Paper 2879.

Single blade passage model used in NASA Rotor 67 CFD simulation
Single blade passage model used in NASA Rotor 67 CFD simulation.

Mesh Strategy and Boundary Conditions for NASA Rotor 67 CFD

A high-quality computational grid is fundamental to accurate CFD results. Using the efficient hex-dominant meshing capabilities within HELYX, a mesh consisting of 2.60 million cells was generated for the single blade passage.

To accurately resolve the flow near the blade, hub, and shroud surfaces, 6 near-wall layers were employed. This inflation layer strategy was configured to achieve a maximum y+ value of 60, providing a sufficient grid resolution for the k-ω SST turbulence model to capture the boundary layer behaviour accurately.

Hex-dominant computational mesh used for NASA Rotor 67 CFD benchmark validation
Computational mesh on the blade surface.

The boundary conditions were set to mirror the experimental setup:

  • Inlet: A total pressure boundary condition was defined at atmospheric conditions.
  • Outlet: A static pressure condition was applied. This value was varied across a range of simulations (from 100,000 Pa to 127,150 Pa) to generate the compressor’s performance map and capture different operating points.
  • Periodicity: Cyclic Arbitrary Mesh Interface (AMI) boundaries were used on the periodic faces of the single-passage domain, ensuring seamless data transfer and representing the full annular cascade.

Solver Settings and Physics Models for Transonic Compressor CFD

The simulation was performed using HELYX under steady-state conditions. The powerful HELYX pressure-based coupled solver was selected for its robustness and efficiency in handling compressible, high-speed flows. This solver simultaneously resolves the momentum and pressure equations, leading to faster convergence rates for challenging cases like this one.

Key physics models included:

  • Rotation: A Multiple Reference Frame (MRF) approach was used to model the rotor’s rotation. A rotating zone was defined around the blade, and a rotational speed of 16,043 RPM was applied.
  • Turbulence: The industry-standard k-ω SST turbulence model was chosen for its proven accuracy in predicting flow separation and adverse pressure gradients common in turbomachinery.

Results: Validating HELYX Against Experimental Data

The numerical results obtained from HELYX demonstrate excellent agreement with the experimental data across all key metrics. This high degree of correlation validates the entire CFD workflow for turbomachinery applications in HELYX, from meshing and setup to solving and post-processing.

Pressure Ratio and Efficiency Performance Maps

By plotting the simulation results from the various outlet pressure settings, performance maps for the total-to-total pressure ratio and isentropic efficiency were constructed. When overlaid with the experimental data from NASA, the HELYX predictions show remarkable accuracy across the entire mass flow range.

The predicted pressure ratio curve closely follows the measured data, correctly capturing the slope of the characteristic and the onset of stall. This demonstrates the solver’s ability to model the complex work addition and loss mechanisms within the rotor.

Comparison of total pressure ratio predictions against NASA Rotor 67 experimental data
Comparison of total-to-total pressure ratio vs. mass flow rate.

Similarly, the isentropic efficiency curve predicted by HELYX aligns very well with the experimental measurements. The simulation accurately identifies the peak efficiency operating point and captures the efficiency roll-off as the compressor moves towards both choke and stall conditions.

Comparison of isentropic efficiency predictions and NASA Rotor 67 measurements
Comparison of isentropic efficiency vs. mass flow rate.

Local Flow Physics: Mach Number Comparison

Beyond validating bulk performance metrics, it is crucial to confirm that the CFD simulation accurately captures the detailed local flow physics. The original NASA study used non-intrusive laser anemometry to measure flow-field properties, providing an excellent dataset for comparison.

The relative Mach number contours at 10% span from the hub show that HELYX correctly predicts the location and strength of the shock wave at both near-peak-efficiency and near-stall conditions. The simulated flow structures, including the acceleration around the leading edge and the subsequent shock-induced deceleration, show a strong qualitative and quantitative match with the experimental plots.

Relative Mach number contours comparing HELYX CFD predictions with NASA Rotor 67 measurements
Relative Mach number contours at 10% span (near peak efficiency).

This level of detail is critical for engineers looking to understand phenomena like shock-boundary layer interaction, which can be a primary driver of performance losses and stall inception.

Relative Mach number contours comparing HELYX CFD predictions with NASA Rotor 67 measurements
Relative Mach number contours at 10% span (near stall).

Conclusion: High-Fidelity Turbomachinery CFD Validation with HELYX

The excellent agreement between HELYX simulations and the experimental data for the challenging NASA Rotor 67 benchmark confirms the software’s capability as a high-fidelity tool for turbomachinery design and analysis. The combination of its robust pressure-based coupled solver, efficient hex-dominant meshing, and comprehensive physics models provides engineers with a reliable and accurate workflow for predicting the performance of transonic axial compressor stages and other complex rotating machinery.

This successful validation is only one of many examples which demonstrate that HELYX can be confidently deployed for industrial-scale turbomachinery applications where accuracy, robustness, and efficiency are paramount.

References

  1. Strazisar A.J, Wood J.R, Hathaway M.D, Suder K.L (1989). Laser Anemometer Measurements in a Transonic Axial-Flow Fan Rotor. NASA Technical Paper 2879. ↩︎

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