Numerical Absorbing Boundary Conditions Based on a Damped Wave Equation for Pseudospectral Time-Domain Acoustic Simulations
In the context of wave-like phenomena, Fourier pseudospectral time-domain (PSTD) algorithms are some of the most efficient time-domain numerical methods for engineering applications. One important drawback of these methods is the so-called Gibbs phenomenon. This error can be avoided by using absorbi...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/285945 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562703764291584 |
|---|---|
| author | Carlos Spa Pedro Reche-López Erwin Hernández |
| author_facet | Carlos Spa Pedro Reche-López Erwin Hernández |
| author_sort | Carlos Spa |
| collection | DOAJ |
| description | In the context of wave-like phenomena, Fourier pseudospectral time-domain (PSTD) algorithms are some of the most efficient time-domain numerical methods for engineering applications. One important drawback of these methods is the so-called Gibbs phenomenon. This error can be avoided by using absorbing boundary conditions (ABC) at the end of the simulations. However, there is an important lack of ABC using a PSTD methods on a wave equation. In this paper, we present an ABC model based on a PSTD damped wave equation with an absorption parameter that depends on the position. Some examples of optimum variation profiles are studied analytically and numerically. Finally, the results of this model are also compared to another ABC model based on an hybrid formulation of the scalar perfectly matched layer. |
| format | Article |
| id | doaj-art-d77e6025ebc84f1ca6487f4fc2f89ae5 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-d77e6025ebc84f1ca6487f4fc2f89ae52025-02-03T01:22:04ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/285945285945Numerical Absorbing Boundary Conditions Based on a Damped Wave Equation for Pseudospectral Time-Domain Acoustic SimulationsCarlos Spa0Pedro Reche-López1Erwin Hernández2Mathematics Department, Universidad Técnica Federico Santa María, 2340000 Valparaíso, ChileTelecommunication Engineering Department, University of Jaén, Linares, 23700 Jaén, SpainMathematics Department, Universidad Técnica Federico Santa María, 2340000 Valparaíso, ChileIn the context of wave-like phenomena, Fourier pseudospectral time-domain (PSTD) algorithms are some of the most efficient time-domain numerical methods for engineering applications. One important drawback of these methods is the so-called Gibbs phenomenon. This error can be avoided by using absorbing boundary conditions (ABC) at the end of the simulations. However, there is an important lack of ABC using a PSTD methods on a wave equation. In this paper, we present an ABC model based on a PSTD damped wave equation with an absorption parameter that depends on the position. Some examples of optimum variation profiles are studied analytically and numerically. Finally, the results of this model are also compared to another ABC model based on an hybrid formulation of the scalar perfectly matched layer.http://dx.doi.org/10.1155/2014/285945 |
| spellingShingle | Carlos Spa Pedro Reche-López Erwin Hernández Numerical Absorbing Boundary Conditions Based on a Damped Wave Equation for Pseudospectral Time-Domain Acoustic Simulations The Scientific World Journal |
| title | Numerical Absorbing Boundary Conditions Based on a Damped Wave Equation for Pseudospectral Time-Domain Acoustic Simulations |
| title_full | Numerical Absorbing Boundary Conditions Based on a Damped Wave Equation for Pseudospectral Time-Domain Acoustic Simulations |
| title_fullStr | Numerical Absorbing Boundary Conditions Based on a Damped Wave Equation for Pseudospectral Time-Domain Acoustic Simulations |
| title_full_unstemmed | Numerical Absorbing Boundary Conditions Based on a Damped Wave Equation for Pseudospectral Time-Domain Acoustic Simulations |
| title_short | Numerical Absorbing Boundary Conditions Based on a Damped Wave Equation for Pseudospectral Time-Domain Acoustic Simulations |
| title_sort | numerical absorbing boundary conditions based on a damped wave equation for pseudospectral time domain acoustic simulations |
| url | http://dx.doi.org/10.1155/2014/285945 |
| work_keys_str_mv | AT carlosspa numericalabsorbingboundaryconditionsbasedonadampedwaveequationforpseudospectraltimedomainacousticsimulations AT pedrorechelopez numericalabsorbingboundaryconditionsbasedonadampedwaveequationforpseudospectraltimedomainacousticsimulations AT erwinhernandez numericalabsorbingboundaryconditionsbasedonadampedwaveequationforpseudospectraltimedomainacousticsimulations |