# Application of AMG to the numerical simulation of 3D ultrasonic transducers

• E. Heikkola
• J. Martikainen
Conference paper

## Summary

We consider the application of an algebraic multigrid method (AMG) to the numerical simulation of ultrasonic transducers. This method can be applied efficiently both to the solution of resonance problems and to the transient simulation of a transducer. We use an added mass formulation to compute the resonance modes of a transducer coupled to incompressible fluid. For the solution of this formulation, we introduce an efficient iterative procedure with an AMG-based preconditioner. Transient simulation with the central difference scheme requires the solution of a potential equation on each time-step, which can also be performed by the AMG method. We report numerical results on the efficiency and accuracy of the computations.

## Keywords

Ultrasonic Transducer Transient Simulation Fluid Coupling Resonance Problem Symmetric Eigenvalue Problem

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