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

2018 ◽  
Vol 65 (2) ◽  
pp. 244-257 ◽  
Author(s):  
Matej Simurda ◽  
Lars Duggen ◽  
Nils T. Basse ◽  
Benny Lassen
Keyword(s):  
Multiphase Flow ◽  
Transit Time ◽  
Mesh Refinement ◽  
Flow Conditions ◽  
Refinement Method ◽  
Collocation Approach ◽  
Fourier Collocation

A Fourier Collocation Approach for Transit-Time Ultrasonic Flowmeter Under Multi-Phase Flow Conditions

2017 ◽  
Vol 25 (04) ◽  
pp. 1750005 ◽  
Author(s):  
Matej Simurda ◽  
Benny Lassen ◽  
Lars Duggen ◽  
Nils T. Basse
Keyword(s):  
Transit Time ◽  
Ultrasonic Flowmeter ◽  
Flow Profile ◽  
Phase Flow ◽  
Flow Conditions ◽  
Perfectly Matched Layers ◽  
Acoustic Media ◽  
Multi Phase Flow ◽  
Multi Phase ◽  
Fourier Collocation

A numerical model for a clamp-on transit-time ultrasonic flowmeter (TTUF) under multi-phase flow conditions is presented. The method solves equations of linear elasticity for isotropic heterogeneous materials with background flow where acoustic media are modeled by setting shear modulus to zero. Spatial derivatives are calculated by a Fourier collocation method allowing the use of the fast Fourier transform (FFT) and time derivatives are approximated by a finite difference (FD) scheme. This approach is sometimes referred to as a pseudospectral time-domain method. Perfectly matched layers (PML) are used to avoid wave-wrapping and staggered grids are implemented to improve stability and efficiency. The method is verified against exact analytical solutions and the effect of the time-staggering and associated lowest number of points per minimum wavelengths value is discussed. The method is then employed to model a complete TTUF measurement setup to simulate the effect of a flow profile on the flowmeter accuracy and a study of an impact of inclusions in flowing media on received signals is carried out.

Space-time mesh refinement method for simulating transient mixed flows

2021 ◽  
pp. 1-12
Author(s):  
Zhonghua Yang ◽  
Zhonghao Mao ◽  
Guanghua Guan ◽  
Wei Gao
Keyword(s):  
Mesh Refinement ◽  
Space Time ◽  
Refinement Method ◽  
Mixed Flows
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