| Title | Formulation and Numerical Analysis of Acoustics Problems in Coupled Thermohydroelastic Systems |
| Publication Type | Conference Paper |
| Year of Publication | 2019 |
| Authors | Dyyak, Ivan, Horlatch, Vitaliy, Shynkarenko, Heorhiy |
| Conference Name | 2019 XXIVth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED) |
| Keywords | acoustic coupling, acoustic wave, acoustic wave propagation, acoustic waves, acoustics problems, appropriate medical equipment, coupled thermohydroelastic processes, dissipative acoustics, elastic body, elasticity, Electromagnetics, Fluids, frequency domain problems, Galerkin approximations, Galerkin method, heat propagation, Human Behavior, Mathematical model, mathematical models, method of moments, numerical analysis, numerical schemes, pubcrawl, Resiliency, Scalability, Thermohydroelasticity, time domain problems, variational problems, variational techniques, weak viscous fluid |
| Abstract | The coupled thermohydroelastic processes of acoustic wave and heat propagation in weak viscous fluid and elastic bodies form the basis of dissipative acoustics. The problems of dissipative acoustics have many applications in engineering practice, in particular in the development of appropriate medical equipment. This paper presents mathematical models for time and frequency domain problems in terms of unknown displacements and temperatures in both the fluid and the elastic body. Formulated corresponding variational problems and constructed numerical schemes for their solution based on the Galerkin approximations. The method of proving the well-posedness of the considered variational problems is proposed. |
| DOI | 10.1109/DIPED.2019.8882584 |
| Citation Key | dyyak_formulation_2019 |
Formulation and Numerical Analysis of Acoustics Problems in Coupled Thermohydroelastic Systems