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A linearised hp-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners
International Journal for Numerical Methods in Engineering, Volume: 112, Issue: 10, Pages: 1323 - 1352
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We propose a new computational framework for the treatment of acousto-magneto-mechanical coupling that arises in low-frequency electro-magneto-mechanical systems such as MRI scanners. Our transient Newton-Raphson strategy involves the solution of a monolithic system obtained from the linearisation o...
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We propose a new computational framework for the treatment of acousto-magneto-mechanical coupling that arises in low-frequency electro-magneto-mechanical systems such as MRI scanners. Our transient Newton-Raphson strategy involves the solution of a monolithic system obtained from the linearisation of the coupled system of equations. Moreover, this framework, in the case of excitation from static and harmonic current sources, allows us to propose a simple linearised system and rigorously motivate a single-step strategy for understanding the response of systems under different frequencies of excitation. Motivated by the need to solve industrial problems rapidly, we restrict ourselves to solving problems consisting of axisymmetric geometries and current sources. Our treatment also discusses in detail the computational requirements for the solution of these coupled problems on unbounded domains and the accurate discretisation of the fields using hp-finite elements. We include a set of academic and industrially relevant examples to benchmark and illustrate our approach.
Multifield systems; Finite element methods; Newton methods; Spectral Acousto-magneto-mechanical coupling; MRI Scanner
College of Engineering