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Numerical simulation of the mirror-shadow method for testing cylindrical products based on open-source software
| Title | Numerical simulation of the mirror-shadow method for testing cylindrical products based on open-source software |
|---|---|
| Authors | V. A. Terentev1 1National Research Mordovia State University |
| Annotation | The paper considers numerical simulation of the mirror-shadow method of non-destructive testing of cylindrical products using encircling electromagnetic acoustic transducers (EMATs). The mathematical model is a weakly coupled system of electrodynamic and elastodynamic equations: the quasi-stationary Maxwell equations are used to compute eddy currents and the Lorentz body force, while the elastic wave equation describes the propagation of ultrasonic pulses in the cross-section of the product. Requirements for spatial discretization and time integration schemes ensuring correct reproduction of multiply reflected echo signals are discussed. An architecture of an open-source Python-based software package built on the FEniCS and SfePy finite element libraries is proposed as an import-independent alternative to the commercial COMSOL Multiphysics package. Published simulation results, including transverse wave focusing and amplitude modulation of echo pulses caused by cross-section ovality, are used as a benchmark for cross-verification. |
| Keywords | non-destructive testing, mirror-shadow method, electromagnetic acoustic transducer, finite element method, wave equation, numerical dissipation, FEniCS, SfePy. |
| Citation | Terentev V. A. ''Numerical simulation of the mirror-shadow method for testing cylindrical products based on open-source software'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 228-231. Available at: https://conf.svmo.ru/files/2026/papers/paper111.pdf. - Date of access: 25.09.2026. |
© SVMO, National Research Mordovia State University, 2026
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