Simulation of Fluid Dynamics Monitoring Using Ultrasonic Measurements
Source abstract
Abstract
The simulation of the propagation of ultrasonic waves in a moving fluid will improve the efficiency of the ultrasonic flow monitoring and that of the in-service monitoring for various reactors in several industries. The most recent simulations are mostly limited to 3D representations of the insonified volume but without really considering the temporal aspect of the flow. The advent of high-performance computing (HPC) now makes it possible to propose the first 4D simulations, with the representation of the inspected medium evolving over time. This work is based on a highly accurate double simulation. A first computational fluid dynamics (CFD) simulation, performed in previous work, described the fluid medium resulting from the mixing of hot jets in a cold opaque fluid. There have been many sensor developments over the years in this domain, as ultrasounds are the only method able to give information in an opaque medium. The correct design of these sensors, as well as the precise and confident analysis of their measurements, will progress with the development of the modeling of wave propagation in such a medium. An important parameter to consider is the flow temperature description, as a temperature gradient in the medium deflects the wave path and may sometimes cause its division. We develop a 4D wave propagation simulation in a very realistic, temporally fluctuating medium. A high-performance simulation is proposed in this work to include an ultrasonic source within the medium and to calculate the wave propagation between a transmitter and a receiver. The analysis of the wave variations shows that this through-transmission setup can track the jet mixing time variations. The steps needed to achieve these results are described using the spectral-element-based numerical tool SPECFEM3D. It is shown that the low-frequency fluctuation of the liquid metal flow can be observed using ultrasonic measurements.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Flow Measurement and Analysis · Ultrasonics and Acoustic Wave Propagation · Nuclear Engineering Thermal-Hydraulics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Aix Marseille Univ, CNRS, Centrale Marseille, LMA UMR 7031, 13453 Marseille, France
CEA/DES/IRESNE/DTN/STCP/LISM, 13108 St Paul lez Durance, France
References (56)
Show source-provided references
1. Baker, R. (2000). Flow Measurement Handbook: Industrial Designs, Operating Principles, Performance, and Applications, Cambridge University Press.10.1017/CBO9780511471100 ↗
2. Tomographic PIV: Principles and practice10.1088/0957-0233/24/1/012001 ↗
3. Achard, J., Ramel, N., Beretta, G., Menet, P., Prigent, J., and Le Brun, P. (2020). Batscan™, Constellium In-melt Ultrasonic Inclusion Detector: Industrial Performance. Light Metals 2020, Springer.10.1007/978-3-030-36408-3_126 ↗
4. Sensors for monitoring the quality of molten aluminum during casting10.1361/10599490523274 ↗
5. Thieme, N., Nauber, R., Büttner, L., Czarske, J., Büchner, K., and Pätzold, O. (2017, January 6–9). Ultrasound flow mapping for 3D turbulent liquid metal flows. Proceedings of the IEEE International Ultrasonics Symposium (IUS), Washington, DC, USA.10.1109/ULTSYM.2017.8092266 ↗
6. Local Lorentz force and ultrasound Doppler velocimetry in a vertical convection liquid metal flow10.1007/s00348-017-2457-0 ↗
7. Scaling properties of convection-driven dynamos in rotating spherical shells and application to planetary magnetic fields10.1111/j.1365-246X.2006.03009.x ↗
8. Fluid Mechanics of Liquid Metal Batteries10.1115/1.4038699 ↗
9. Liquid Metal Diagnostics10.1080/15361055.2019.1661719 ↗
10. Overview of the last progresses for the European Test Blanket Modules projects10.1016/j.fusengdes.2007.02.017 ↗
11. Griffin, J., Bond, L., Peters, T., Denslow, K., Posakony, G., Sheen, S., Chien, H., and Raptis, A. (2009). Under-Sodium Viewing: A Review of Ultrasonic Imaging Technology for Liquid Metal Fast Reactors, Pacific Northwest National Laboratory. Technical Report PNNL-18292.10.2172/1010482 ↗
12. Ultrasonic imaging techniques for non-destructive testing of nuclear reactors, cooled by liquid metals: Review
13. Tarpara, E., Patankar, V., and Vijayan Varier, N. (2016). Under-Sodium Ultrasonic Viewing for Fast Breeder Reactors: A Review, BARC. Technical Report.
14. Paumel, K., Descombin, O., Moysan, J., Corneloup, G., and Aguem, J.M. (2009, January 7–10). Acoustic coupling of ultrasonic transducers for in-service inspection of sodium fast reactors. Proceedings of the 1st International Conference on Advancements in Nuclear Instrumentation, Measurement Methods and their Applications, Marseille, France.10.1109/ANIMMA.2009.5503763 ↗
15. Modeling of ultrasound transmission through a solid-liquid interface comprising a network of gas pockets10.1063/1.3611422 ↗
16. Ultrasonic Imaging in Hot Liquid Sodium Using a Plate-Type Ultrasonic Waveguide Sensor10.1007/s10921-014-0262-8 ↗
17. Imbert, C., Berton, J., and Gimenez, G. (1996, January 3–6). Realization of ultrasonic images of immersed metallic structures using a digital beamforming system. Experimental study. Proceedings of the IEEE International Ultrasonics Symposium (IUS), San Antonio, TX, USA.
18. Development of electromagnetic acoustic transducer (EMAT) phased arrays for SFR inspection
19. Saillant, J.F., Marlier, R., Baqué, F., and Navacchia, F. (2019, January 6–9). Design and testing of an ultrasonic projector for operation in liquid sodium. Proceedings of the IEEE International Ultrasonics Symposium (IUS), Glasgow, UK.10.1109/ULTSYM.2019.8926230 ↗
20. Modelling of ultrasonic propagation in turbulent liquid sodium with temperature gradient10.1063/1.4875876 ↗
21. Numerical simulation of transit-time ultrasonic flowmeters: Uncertainties due to flow profile and fluid turbulence10.1016/S0041-624X(02)00387-6 ↗
22. Simplified modeling of liquid sodium medium with temperature and velocity gradient using real thermal-hydraulic data: Application to ultrasonic thermometry in Sodium Fast Reactor10.1063/1.4789245 ↗
23. Ultrasonic thermometry simulation in a random fluctuating medium: Evidence of the acoustic signature of a one-percent temperature difference10.1016/j.ultras.2016.02.011 ↗
24. Investigation of ultrasonic backward energy from various edges as a function of their 2D/3D geometry and of the incidence angle, for application to ultrasonic thermometry at the outlet of a tube10.1016/j.csndt.2016.09.001 ↗
25. Experimental investigation on transfer characteristics of temperature fluctuation from liquid sodium to wall in parallel triple-jet10.1016/j.ijheatmasstransfer.2006.09.030 ↗
26. Large-eddy simulation of a turbulent boundary layer with blowing10.1007/s00162-004-0110-z ↗
27. Angeli, P.E. (September, January 30). Large-Eddy Simulation of thermal striping in WAJECO and PLAJEST experiments with TrioCFD. Proceedings of the 16th International Topical Meeting on Nuclear Reactor Thermal Hydraulics (NURETH-16), Chicago, IL, USA.
28. Komatitsch, D. (1997). Méthodes Spectrales et Éléments Spectraux pour L’équation de L’élastodynamique 2D et 3D en Milieu Hétérogène (Spectral and Spectral-Element Methods for the 2D and 3D Elastodynamics Equations in Heterogeneous Media). [Ph.D. Thesis, Institut de Physique du Globe].
29. Massacret, N. (2014). Étude d’une Méthode Ultrasonore D’estimation des Températures Locales du Sodium Liquide en Sortie Coeur RNR-Na. [Ph.D. Thesis, Aix-Marseille University].
30. Lü, B. (2011). Modélisation de la Propagation et de L’interaction d’une onde Acoustique pour la Télémétrie de Structures Complexes. [Ph.D. Thesis, Université du Maine].
31. Stochastic simulation of the high-frequency wave propagation in a random medium10.1063/1.4748274 ↗
32. Numerical comparison of acoustic wedge models, with application to ultrasonic telemetry10.1016/j.ultras.2015.10.009 ↗
33. Pencil method in elastodynamics: Application to ultrasonic field computation10.1016/S0041-624X(99)00068-2 ↗
34. Jensen, F.B., Kuperman, W., Porter, M., and Schmidt, H. (2011). Computational Ocean Acoustics, Springer. [2nd ed.].10.1007/978-1-4419-8678-8 ↗
35. Numerical Solution of Initial Boundary Value Problems involving Maxwell’s Equations10.1109/TAP.1966.1138693 ↗
36. Finite-difference time-domain modeling of curved surfaces (EM scattering)10.1109/8.138836 ↗
37. Hybrid modeling of P-SV Seism. Motion Inhomogeneous Viscoelastic Topographic Structures10.1785/BSSA0870051305 ↗
38. Seismic-Wave Propagation in Viscoelastic Media with Material Discontinuities: A 3D Fourth-Order Staggered-Grid Finite-Difference Modeling10.1785/0120030023 ↗
39. New curvilinear scheme for elastic wave propagation in presence of curved topography10.1111/j.1365-2478.2011.00972.x ↗
40. Finite element method accuracy for wave propagation problems10.1061/JSFEAQ.0001885 ↗
41. Modeling elastic wave propagation in waveguides with the finite element method10.1016/S0963-8695(98)00045-0 ↗
42. Gottlieb, D., and Orszag, S.A. (1977). Numerical analysis of spectral methods: Theory and applications, Society for Industrial and Applied Mathematics (SIAM).10.1137/1.9781611970425 ↗
43. A spectral element method for fluid dynamics: Laminar flow in a channel expansion10.1016/0021-9991(84)90128-1 ↗
44. Introduction to the spectral-element method for 3-D seismic wave propagation10.1046/j.1365-246x.1999.00967.x ↗
45. Spectral-element simulations of global seismic wave propagation-I. Validation10.1046/j.1365-246X.2002.01653.x ↗
46. Komatitsch, D., Tsuboi, S., Ji, C., and Tromp, J. (2003, January 15–21). A 14.6 billion degrees of freedom, 5 teraflops, 2.5 terabyte earthquake simulation on the Earth Simulator. Proceedings of the SC’03 ACM/IEEE Conference on Supercomputing, Phoenix, AZ, USA. Gordon Bell Prize Winner Article.10.1145/1048935.1050155 ↗
47. Carrington, L., Komatitsch, D., Laurenzano, M., Tikir, M., Michéa, D., Le Goff, N., Snavely, A., and Tromp, J. (2008, January 15–21). High-frequency simulations of global seismic wave propagation using SPECFEM3D_GLOBE on 62 thousand processor cores. Proceedings of the SC’08 ACM/IEEE Conference on Supercomputing, Austin, TX, USA. Article #60, Gordon Bell Prize Finalist Article.10.1109/SC.2008.5215501 ↗
48. A 1.8 trillion degrees-of-freedom, 1.24 petaflops global seismic wave simulation on the K computer10.1177/1094342016632596 ↗
49. Landau, L.D., and Lifshitz, E.M. (1959). Fluid Mechanics, Pergamon Press.
50. A displacement method for the analysis of vibrations of coupled fluid-structure systems10.1002/nme.1620130110 ↗
51. Nagaso, M. (2018). Study of Ultrasound Wave Propagation in a Heterogeneous Fluid Medium for the Monitoring of an Operating Sodium-Based Nuclear Reactor. [Ph.D. Dissertation, Université d’Aix-Marseille (AMU)]. A Full PHDTHESIS Entry.
52. Davis, P.J., and Rabinowitz, P. (1984). Methods of Numerical Integration (Computer Science and Applied Mathematics), Academic Press.
53. Canuto, C., Hussaini, M.Y., Quarteroni, A., and Zang, T.A. (2011). Spectral Methods, Springer.
54. Angeli, P.E., Puscas, A., and Fauchet, G. (2019). Cartalade. FVCA8 Benchmark for the Stokes and Navier-Stokes Equations with the TrioCFD Code—Benchmark Session. Finite Volumes for Complex Applications VIII—Methods and Theoretical Aspects, Springer.
55. Verification and validation of LES of a triple parallel jet flow in the context of a thermal striping study10.1016/j.nucengdes.2019.110210 ↗
56. Sobolev, V. (2011). Database of Thermophysical Properties of Liquid Metal Coolants for GEN-IV, SCK-CEN. Technical Report; BLG-1069.