Low-Noise Synthetic Turbulence Tailored to Lateral Periodic Boundary Conditions
Abstract
:1. Introduction
2. Numerical Methods: Flow Solver and Inflow Synthetic Turbulence
2.1. Flow Solver
2.2. Inflow Synthetic Turbulence
2.2.1. Classical Random Fourier Modes Method
2.2.2. Random Fourier Modes Method Tailored to Periodic Boundary Conditions
3. Simulations of Spatially Decaying Homogeneous Isotropic Turbulence
3.1. Studied Configurations and Numerical Setups
3.1.1. Configurations
3.1.2. Simulation Parameters
3.1.3. Probes and Processing Method
3.1.4. Computation Platform and MPI Decomposition
3.2. Comparison of the RFM and RFM-P Approaches for Both Configurations
3.2.1. Instantaneous Velocity and Pressure Fields
3.2.2. Turbulent Kinetic Energy Evolution
3.2.3. One-Dimensional Spectra
3.2.4. Computational Cost
4. Conclusions
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
LSB | Laminar separation bubble |
LES | Large eddy simulation |
DNC | Direct noise computation |
RFM | Random Fourier modes |
RFM-P | Random Fourier modes method tailored to lateral periodic boundary conditions |
SEM | Synthetic eddy method |
RPM | Random particle mesh |
PISO | Pressure-Implicit with Splitting of Operators |
DRP | Dispersion-relation-preserving |
MPI | Message passing interface |
HIT | Homogeneous isotropic turbulence |
CFL | Courant–Friedrichs–Lewy number |
CINES | Centre Informatique National de l’Enseignement Supérieur |
Appendix A. Details about the Random Fourier Modes method
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Configuration | , , | Mesh Size in Convection Grid | Mesh Size in Acoustic Grids | Number of Mesh Points | Number of Interpolation Points |
---|---|---|---|---|---|
Single Grid | 95, 200, 2 | / | 6.79 × 106 | 1.07 × 105 | |
Multi Grids | 95, 200, 2 | 3.34 × 106 | 2.08 × 105 |
Simulation | N | ||
---|---|---|---|
RFM_Single_Grid | 200 | 200 | 200 |
RFM-P3D_Single_Grid | 200 | 198 | 68 |
RFM-P2D_Single_Grid | 200 | 196 | 0 |
RFM_Multi_Grids | 200 | 200 | 200 |
RFM-P3D_Multi_Grids | 200 | 199 | 62 |
RFM-P2D_Multi_Grids | 200 | 196 | 0 |
RFM_Single_Grid_Realization2 | 200 | 200 | 200 |
RFM-P3D_Single_Grid_Realization2 | 200 | 200 | 67 |
RFM-P2D_Single_Grid_Realization2 | 200 | 196 | 0 |
Single Grid | Multi Grids | |||||
---|---|---|---|---|---|---|
x | y | z | x | y | z | |
Convection Grid | 60 | 60 | 11 | 48 | 43 | 11 |
Sponge Zone | 40 | 60 | 11 | 40 | 53 | 11 |
Acoustic Grids | / | / | / | 48 | 53 | 6 |
Generation Grid | / | / | / | 81 | 53 | 11 |
Simulation | Cost (Core Hours) |
---|---|
RFM_Single_Grid | 6150 |
RFM-P3D_Single_Grid | 6150 |
RFM-P2D_Single_Grid | 6300 |
RFM_Multi_Grids | 4700 |
RFM-P3D_Multi_Grids | 4750 |
RFM-P2D_Multi_Grids | 4600 |
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Rigall, T.; Cotté, B.; Lafon, P. Low-Noise Synthetic Turbulence Tailored to Lateral Periodic Boundary Conditions. Fluids 2021, 6, 193. https://doi.org/10.3390/fluids6060193
Rigall T, Cotté B, Lafon P. Low-Noise Synthetic Turbulence Tailored to Lateral Periodic Boundary Conditions. Fluids. 2021; 6(6):193. https://doi.org/10.3390/fluids6060193
Chicago/Turabian StyleRigall, Tommy, Benjamin Cotté, and Philippe Lafon. 2021. "Low-Noise Synthetic Turbulence Tailored to Lateral Periodic Boundary Conditions" Fluids 6, no. 6: 193. https://doi.org/10.3390/fluids6060193