Fast Computational Modeling Based on the Boundary Element Method Towards the Design of an Ultrasonic Biomedical Applicator

Raquel Martínez-Valdez; Ivonne Bazán

doi:10.17488/RMIB.46.1.1

Autores/as

Raquel Martínez-Valdez Universidad Autónoma de Aguascalientes, México https://orcid.org/0000-0002-6426-0640
Ivonne Bazán Universidad Autónoma de Aguascalientes, México https://orcid.org/0000-0002-8654-8426

DOI:

https://doi.org/10.17488/RMIB.46.1.1

Palabras clave:

aplicador biomédico ultrasónico, método del elemento finito, método del elemento de frontera, modelado de campo acústico, ultrasonido focalizado

Resumen

El objetivo de este trabajo es analizar el uso del método del elemento de frontera (BEM) como una herramienta computacional rápida para resolver campos acústicos en modelos 3D. Una superficie radiante tridimensional S_R propuesta se modelo por medio de BEM y del método del elemento finito (FEM). Se desarrollaron 4 modelos en el dominio de la frecuencia: 2 con la S_Rcompleta y 2 considerando un plano de simetría a la mitad de S_R. Los modelos BEM se validaron con los modelos FEM por medio de contornos de presión a -3 dB y -6 dB, áreas dentro de los contornos, relación de forma elíptica E_r y aproximación elipsoidal focal. Las diferencias promedio en presión y distancia focales fueron 39.875 Pa y 0.4515 mm, respectivamente; las áreas dentro de los contornos mostraron diferencias entre 0.6 mm² and 2.3 mm². La E_r focal fue >92 %, mientras que la aproximación volumétrica elipsoidal mostró diferencias entre 0.0817-1.4632 mm³ a -3 dB, y 1.2354-4.1144 mm³a -6 dB. Los resultados sugieren el uso de BEM para modelar el patrón acústico en medios sin pérdidas durante el diseño de aplicadores biomédicos ultrasónicos reduciendo el tiempo de solución de 22 h (FEM) a 2 min (BEM).

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