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A coupled finite-element, boundary-integral method for simulating ultrasonic flowmeters.
Michal Bezdĕk1, Hermann Landes, Alfred Rieder
1Endress+Hauser Flowtec AG, Reinach, Switzerland. michal.bezdek@flowtec.endress.com
A new Helmholtz integral-ray tracing method (HIRM) enables efficient numerical simulation of ultrasonic transit-time flowmeters. This advanced technique significantly reduces computational demands, offering accurate results for complex acoustic fields in moving fluids.
Area of Science:
- Acoustics
- Fluid Dynamics
- Computational Mechanics
Background:
- Ultrasonic flow measurement commonly uses the transit-time principle.
- Simulating transit-time flowmeters involves complex acoustic field computations in moving media.
Purpose of the Study:
- To present a novel numerical simulation technique for transit-time flowmeters.
- To develop a method that reduces computational memory demands compared to traditional approaches.
Main Methods:
- Derivation and validation of the Helmholtz integral-ray tracing method (HIRM).
- Application of HIRM to acoustic radiation problems in low Mach number flows.
- Development of a hybrid simulation scheme coupling FEM and HIRM using absorbing boundaries and a reflection-free source formulation.
Main Results:
- HIRM significantly reduces memory requirements compared to the finite-element method (FEM).
- The coupled FEM-HIRM scheme enabled the first full 3-D simulation of a complete transit-time flowmeter.
- Simulation results showed good agreement with experimental measurements under both zero and flowing conditions.
Conclusions:
- The presented HIRM and the hybrid FEM-HIRM scheme provide an effective tool for simulating transit-time flowmeters.
- This approach offers a computationally efficient and accurate method for analyzing acoustic fields in flow measurement devices.
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