ADITU: A mesh-free formulation for the solution of Helmholtz equation in bounded and unbounded domains

This work describes a mesh-free collocation formulation for the acoustic fluid–fluid coupling among non-homogeneous bounded and unbounded fluid domains. The proposed formulations use series of functions that are generated using the analytical solutions of Helmholtz equation in spherical coordinates,...

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Detalles Bibliográficos
Autores: Garate Zubiaurre, Gorka, Estévez Sanz, Julián, Graña Romay, Manuel María
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/67550
Acceso en línea:http://hdl.handle.net/10810/67550
Access Level:acceso abierto
Palabra clave:Helmholtz equation
acoustic radiation
acoustic scattering
unbounded domains
fluid–fluid coupling
Descripción
Sumario:This work describes a mesh-free collocation formulation for the acoustic fluid–fluid coupling among non-homogeneous bounded and unbounded fluid domains. The proposed formulations use series of functions that are generated using the analytical solutions of Helmholtz equation in spherical coordinates, and coefficients of the series are calculated from applying the boundary conditions. The technique is able to calculate the acoustic pressure in any bounded or unbounded non-spherical domain. The accuracy, efficiency and robustness of the model is tested by using as benchmark classical analytic solutions of radiation and scattering from spheres