Fourier Collocation Approach With Mesh Refinement Method for Simulating Transit-Time Ultrasonic Flowmeters Under Multiphase Flow Conditions

作者：Simurda Matej^*; Duggen Lars; Basse Nils T; Lassen Benny

来源：IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2018, 65(2): 244-257.

DOI：10.1109/TUFFC.2017.2775283

• Fluid flow measurement
• numerical simulation
• acoustics
• propagation
• mathematical model
• fast Fourier transforms

A numerical model for transit-time ultrasonic flowmeters operating under multiphase flow conditions previously presented by us is extended by mesh refinement and grid point redistribution. The method solves modified first-order stress-velocity equations of elastodynamics with additional terms to account for the effect of the background flow. Spatial derivatives are calculated by a Fourier collocation scheme allowing the use of the fast Fourier transform, while the time integration is realized by the explicit third-order Runge-Kutta finite-difference scheme. The method is compared against analytical solutions and experimental measurements to verify the benefit of using mapped grids. Additionally, a study of clamp-on and in-line ultrasonic flowmeters operating under multiphase flow conditions is carried out.

• 出版日期2018-2