Ultrasonic Flowmeter with Piezoelectric Transducers: Coupling Between FEM and DG

Application ID: 47741

Ultrasonic flowmeters determine the velocity of a fluid flowing through a pipe by sending an ultrasonic signal across the flow at a skew angle. When there is no flow, the transmitting time between the transmitter and the receiver is the same for the signals sent in the upstream and downstream directions. Otherwise, the wave traveling downstream moves faster than the one traveling upstream, which can be used to ascertain the flow. In many cases, piezoelectric transducers are used to send and receive the ultrasonic wave.

This tutorial model shows how to simulate an ultrasonic flowmeter with piezoelectric transducers in the simplified no-flow case. The finite element method (FEM) is used to model the piezoelectric transducers, whereas the modeling of the ultrasonic wave propagation is based on the discontinuous Galerkin (dG) method. The whole model is split into two submodels. An FEM to dG one-way coupling is used to send the wave from the transmitter, while a dG to FEM one-way coupling is used to simulate the receiver.

This model example illustrates applications of this type that would nominally be built using the following products: