Padé approximation in time-domain boundary conditions of porous surfaces
| Autor: | Sandra L. Collier, D. Keith Wilson, Neill P. Symons, David H. Marlin, David F. Aldridge, Vladimir E. Ostashev |
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| Rok vydání: | 2007 |
| Předmět: |
Time Factors
Acoustics and Ultrasonics Fourier Analysis Atmosphere Mathematical analysis Acoustics Models Theoretical Fractional calculus Exponential function Causality (physics) Arts and Humanities (miscellaneous) Characteristic admittance Pressure Padé approximant Computer Simulation Time domain Boundary value problem Porous medium Porosity Mathematics |
| Zdroj: | The Journal of the Acoustical Society of America. 122(1) |
| ISSN: | 1520-8524 |
| Popis: | Formulation and implementation of time-domain boundary conditions (TDBCs) at the surface of a reactive porous material are made challenging by the slow decay, complexity, or noncausal nature of many commonly used models of porous materials. In this paper, approaches are described that improve computational efficiency and enforce causality. One approach involves approximating the known TDBC for the modified Zwikker-Kosten impedance model as a summation of decaying exponential functions. A second approach, which can be applied to any impedance model, involves replacing the characteristic admittance with its Padé approximation. Then, approximating fractional derivatives with decaying exponentials, a causal and recursive TDBC is formulated. |
| Databáze: | OpenAIRE |
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