Four Spacetime Dimensional Simulation of Rheological Waves in Solids and the Merits of Thermodynamics
The recent results attained from a thermodynamically conceived numerical scheme applied on wave propagation in viscoelastic/rheological solids are generalized here, both in the sense that the scheme is extended to four spacetime dimensions and in the aspect of the virtues of a thermodynamical approa...
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| Format: | Article |
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MDPI AG
2020-12-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/12/1376 |
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| author | Áron Pozsár Mátyás Szücs Róbert Kovács Tamás Fülöp |
| author_facet | Áron Pozsár Mátyás Szücs Róbert Kovács Tamás Fülöp |
| author_sort | Áron Pozsár |
| collection | DOAJ |
| description | The recent results attained from a thermodynamically conceived numerical scheme applied on wave propagation in viscoelastic/rheological solids are generalized here, both in the sense that the scheme is extended to four spacetime dimensions and in the aspect of the virtues of a thermodynamical approach. Regarding the scheme, the arrangement of which quantity is represented where in discretized spacetime, including the question of appropriately realizing the boundary conditions, is nontrivial. In parallel, placing the problem in the thermodynamical framework proves to be beneficial in regards to monitoring and controlling numerical artefacts—instability, dissipation error, and dispersion error. This, in addition to the observed preciseness, speed, and resource-friendliness, makes the thermodynamically extended symplectic approach that is presented here advantageous above commercial finite element software solutions. |
| first_indexed | 2024-03-10T14:17:17Z |
| format | Article |
| id | doaj.art-3a318324e9c04cbebffd345b759fae1c |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T14:17:17Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-3a318324e9c04cbebffd345b759fae1c2023-11-20T23:38:28ZengMDPI AGEntropy1099-43002020-12-012212137610.3390/e22121376Four Spacetime Dimensional Simulation of Rheological Waves in Solids and the Merits of ThermodynamicsÁron Pozsár0Mátyás Szücs1Róbert Kovács2Tamás Fülöp3Department of Energy Engineering, Faculty of Mechanical Engineering, BME, 1521 Budapest, HungaryDepartment of Energy Engineering, Faculty of Mechanical Engineering, BME, 1521 Budapest, HungaryDepartment of Energy Engineering, Faculty of Mechanical Engineering, BME, 1521 Budapest, HungaryDepartment of Energy Engineering, Faculty of Mechanical Engineering, BME, 1521 Budapest, HungaryThe recent results attained from a thermodynamically conceived numerical scheme applied on wave propagation in viscoelastic/rheological solids are generalized here, both in the sense that the scheme is extended to four spacetime dimensions and in the aspect of the virtues of a thermodynamical approach. Regarding the scheme, the arrangement of which quantity is represented where in discretized spacetime, including the question of appropriately realizing the boundary conditions, is nontrivial. In parallel, placing the problem in the thermodynamical framework proves to be beneficial in regards to monitoring and controlling numerical artefacts—instability, dissipation error, and dispersion error. This, in addition to the observed preciseness, speed, and resource-friendliness, makes the thermodynamically extended symplectic approach that is presented here advantageous above commercial finite element software solutions.https://www.mdpi.com/1099-4300/22/12/1376symplectic numerical methodsrheologysolidswavesspacetimethermodynamics |
| spellingShingle | Áron Pozsár Mátyás Szücs Róbert Kovács Tamás Fülöp Four Spacetime Dimensional Simulation of Rheological Waves in Solids and the Merits of Thermodynamics Entropy symplectic numerical methods rheology solids waves spacetime thermodynamics |
| title | Four Spacetime Dimensional Simulation of Rheological Waves in Solids and the Merits of Thermodynamics |
| title_full | Four Spacetime Dimensional Simulation of Rheological Waves in Solids and the Merits of Thermodynamics |
| title_fullStr | Four Spacetime Dimensional Simulation of Rheological Waves in Solids and the Merits of Thermodynamics |
| title_full_unstemmed | Four Spacetime Dimensional Simulation of Rheological Waves in Solids and the Merits of Thermodynamics |
| title_short | Four Spacetime Dimensional Simulation of Rheological Waves in Solids and the Merits of Thermodynamics |
| title_sort | four spacetime dimensional simulation of rheological waves in solids and the merits of thermodynamics |
| topic | symplectic numerical methods rheology solids waves spacetime thermodynamics |
| url | https://www.mdpi.com/1099-4300/22/12/1376 |
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