Numerical Solutions of the Klein-Gordon Equation with Adaptive Mesh Refinement
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| Natura: | Artículo científico |
| Lingua: | en |
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Universidad Tecnológica de Pereira
2018
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| _version_ | 1876490847674957824 |
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| author | Y. A. Galeano |
| author_facet | Y. A. Galeano |
| contents | Numerical Solutions of the Klein-Gordon Equation with Adaptive Mesh Refinement Y. A. Galeano Anamaría Navarro F. D. Lora-Clavijo Ingeniería algorithm scalar field Klein Gordon Equation numerical simulations Adaptive mesh refinement In this paper we present the numerical evolution of a test scalar field on a Minkowski background using adaptive mesh refinement techniques (AMR). The Dynamics of the scalar field is given by the Klein Gordon equation with an exponential potential, which has been used as a model of quintessence scalar fields. As a first step in this work a description of the AMR algorithm is presented. Then we perform an analysis related to the convergence of the numerical simulations, founding convergence of second order, which is consistent with the second order finite difference scheme used. 2018 artículo científico 0122-1701 https://www.redalyc.org/articulo.oa?id=84958001020 https://www.redalyc.org/journal/849/84958001020/ https://www.redalyc.org/journal/849/84958001020/html/ https://www.redalyc.org/journal/849/84958001020/84958001020.epub https://www.redalyc.org/journal/849/84958001020/movil en http://www.redalyc.org/revista.oa?id=849 Scientia Et Technica application/pdf Universidad Tecnológica de Pereira Scientia Et Technica (Colombia) Num.2 Vol.23 |
| format | Artículo científico |
| id | redalyc_84958001020 |
| institution | Redalyc |
| language | en |
| publishDate | 2018 |
| publisher | Universidad Tecnológica de Pereira |
| spellingShingle | Numerical Solutions of the Klein-Gordon Equation with Adaptive Mesh Refinement Y. A. Galeano Ingeniería algorithm scalar field Klein Gordon Equation numerical simulations Adaptive mesh refinement Numerical Solutions of the Klein-Gordon Equation with Adaptive Mesh Refinement Y. A. Galeano Anamaría Navarro F. D. Lora-Clavijo Ingeniería algorithm scalar field Klein Gordon Equation numerical simulations Adaptive mesh refinement In this paper we present the numerical evolution of a test scalar field on a Minkowski background using adaptive mesh refinement techniques (AMR). The Dynamics of the scalar field is given by the Klein Gordon equation with an exponential potential, which has been used as a model of quintessence scalar fields. As a first step in this work a description of the AMR algorithm is presented. Then we perform an analysis related to the convergence of the numerical simulations, founding convergence of second order, which is consistent with the second order finite difference scheme used. 2018 artículo científico 0122-1701 https://www.redalyc.org/articulo.oa?id=84958001020 https://www.redalyc.org/journal/849/84958001020/ https://www.redalyc.org/journal/849/84958001020/html/ https://www.redalyc.org/journal/849/84958001020/84958001020.epub https://www.redalyc.org/journal/849/84958001020/movil en http://www.redalyc.org/revista.oa?id=849 Scientia Et Technica application/pdf Universidad Tecnológica de Pereira Scientia Et Technica (Colombia) Num.2 Vol.23 |
| title | Numerical Solutions of the Klein-Gordon Equation with Adaptive Mesh Refinement |
| topic | Ingeniería algorithm scalar field Klein Gordon Equation numerical simulations Adaptive mesh refinement |
| url | https://www.redalyc.org/articulo.oa?id=84958001020 https://www.redalyc.org/journal/849/84958001020/ https://www.redalyc.org/journal/849/84958001020/html/ https://www.redalyc.org/journal/849/84958001020/84958001020.epub https://www.redalyc.org/journal/849/84958001020/movil |