Comparison of two pressure–temperature equilibration methods
We compare and contrast the traditionally used method of solving the pressure–temperature equilibration problem in hydrodynamics, where specific internal energy and density are considered independent variables, with a different method where pressure and temperature are independent variables. With th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2023-02-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0132588 |
| _version_ | 1811154931374096384 |
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| author | Gopinath Subramanian Jeffery A. Leiding |
| author_facet | Gopinath Subramanian Jeffery A. Leiding |
| author_sort | Gopinath Subramanian |
| collection | DOAJ |
| description | We compare and contrast the traditionally used method of solving the pressure–temperature equilibration problem in hydrodynamics, where specific internal energy and density are considered independent variables, with a different method where pressure and temperature are independent variables. With the goal of examining the robustness of the two methods as the number of components increases, we examine 2-, 4-, 6-, and 8-component systems. After equilibrating more than 104 initial conditions for each system using both methods, we demonstrate that the latter method constrains the search space by lowering its dimensionality and forces a better initial guess, resulting in a higher probability of convergence to solution with fewer, cheaper iterations. |
| first_indexed | 2024-04-10T04:24:23Z |
| format | Article |
| id | doaj.art-e2cd5dce3f55456b864eed4ac96009ea |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-04-10T04:24:23Z |
| publishDate | 2023-02-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-e2cd5dce3f55456b864eed4ac96009ea2023-03-10T17:26:20ZengAIP Publishing LLCAIP Advances2158-32262023-02-01132025050025050-710.1063/5.0132588Comparison of two pressure–temperature equilibration methodsGopinath Subramanian0Jeffery A. Leiding1X Computational Physics Division, Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, New Mexico 87545, USATheoretical Division, Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, New Mexico 87545, USAWe compare and contrast the traditionally used method of solving the pressure–temperature equilibration problem in hydrodynamics, where specific internal energy and density are considered independent variables, with a different method where pressure and temperature are independent variables. With the goal of examining the robustness of the two methods as the number of components increases, we examine 2-, 4-, 6-, and 8-component systems. After equilibrating more than 104 initial conditions for each system using both methods, we demonstrate that the latter method constrains the search space by lowering its dimensionality and forces a better initial guess, resulting in a higher probability of convergence to solution with fewer, cheaper iterations.http://dx.doi.org/10.1063/5.0132588 |
| spellingShingle | Gopinath Subramanian Jeffery A. Leiding Comparison of two pressure–temperature equilibration methods AIP Advances |
| title | Comparison of two pressure–temperature equilibration methods |
| title_full | Comparison of two pressure–temperature equilibration methods |
| title_fullStr | Comparison of two pressure–temperature equilibration methods |
| title_full_unstemmed | Comparison of two pressure–temperature equilibration methods |
| title_short | Comparison of two pressure–temperature equilibration methods |
| title_sort | comparison of two pressure temperature equilibration methods |
| url | http://dx.doi.org/10.1063/5.0132588 |
| work_keys_str_mv | AT gopinathsubramanian comparisonoftwopressuretemperatureequilibrationmethods AT jefferyaleiding comparisonoftwopressuretemperatureequilibrationmethods |