Fast evaluation of complex equations of state
One of the most common operations encountered in computational fluid dynamics (CFD) solvers is the evaluation of the caloric and thermal equations of state (EoS) which are required to compute thermodynamic state variables from the conserved values that are typically being advanced by the simulat...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2013-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/20/c1/abstr.html |
| _version_ | 1818583362482208768 |
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| author | Eric M. Collins Edward A. Luke |
| author_facet | Eric M. Collins Edward A. Luke |
| author_sort | Eric M. Collins |
| collection | DOAJ |
| description | One of the most common operations encountered in computational fluid dynamics (CFD) solvers is the evaluation of the caloric and thermal equations of state (EoS) which are required to compute thermodynamic state variables from the conserved values that are typically being advanced by the simulation. The complexity of these calculations can vary widely depending on the nature of the fluid under consideration. We present a method for generating an interpolated representation of the EoS that is fairly inexpensive to evaluate regardless of the complexity of the actual underlying state equations. This approach has the advantage of being agnostic towards the original representation; whether it be a complex analytic expression, expensive iterative method, or interpolated from empirical data. |
| first_indexed | 2024-12-16T08:04:05Z |
| format | Article |
| id | doaj.art-cc6d61d4088c4b7996d37463c5bed90b |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-16T08:04:05Z |
| publishDate | 2013-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-cc6d61d4088c4b7996d37463c5bed90b2022-12-21T22:38:31ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-10-012013202737Fast evaluation of complex equations of stateEric M. CollinsEdward A. LukeOne of the most common operations encountered in computational fluid dynamics (CFD) solvers is the evaluation of the caloric and thermal equations of state (EoS) which are required to compute thermodynamic state variables from the conserved values that are typically being advanced by the simulation. The complexity of these calculations can vary widely depending on the nature of the fluid under consideration. We present a method for generating an interpolated representation of the EoS that is fairly inexpensive to evaluate regardless of the complexity of the actual underlying state equations. This approach has the advantage of being agnostic towards the original representation; whether it be a complex analytic expression, expensive iterative method, or interpolated from empirical data.http://ejde.math.txstate.edu/conf-proc/20/c1/abstr.htmlTabular approximationadaptive samplingBezier surfacesplineinterpolation |
| spellingShingle | Eric M. Collins Edward A. Luke Fast evaluation of complex equations of state Electronic Journal of Differential Equations Tabular approximation adaptive sampling Bezier surface spline interpolation |
| title | Fast evaluation of complex equations of state |
| title_full | Fast evaluation of complex equations of state |
| title_fullStr | Fast evaluation of complex equations of state |
| title_full_unstemmed | Fast evaluation of complex equations of state |
| title_short | Fast evaluation of complex equations of state |
| title_sort | fast evaluation of complex equations of state |
| topic | Tabular approximation adaptive sampling Bezier surface spline interpolation |
| url | http://ejde.math.txstate.edu/conf-proc/20/c1/abstr.html |
| work_keys_str_mv | AT ericmcollins fastevaluationofcomplexequationsofstate AT edwardaluke fastevaluationofcomplexequationsofstate |