Fourier collocation approach with mesh refinement method for simulating transit-time ultrasonic flowmeters under multiphase flow conditions

Matej Simurda, Lars Duggen, Nils T. Basse, Benny Lassen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

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.
Original languageEnglish
JournalIEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control
Volume65
Issue number2
Pages (from-to)244-257
ISSN0885-3010
DOIs
Publication statusPublished - Feb 2018

Keywords

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

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