Büsing, H. ; Willkomm, J. ; Bischof, Christian ; Clauser, C. (2011)
Using exact Jacobians in an implicit Newton method for solving multiphase flow in porous media.
In: Int. J. Computational Science and Engineering
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
We present a new numerical approach to solve the fully coupled equations for two-phase flow in porous media with exact Jacobians. The method is based on a space and time discretisation and a linearisation of the arising non-linear algebraic system with Newton's method, where the required Jacobians are obtained with automatic differentiation (AD), providing the exact derivatives. We compare the forward AD differentiation mode to the standard finite difference method and the complex variable method in terms of precision and performance. It turns out that AD performs favourable compared to both methods. We also illustrate the advantages of exact Jacobians in a test example for two-phase flow in porous media investigating the evolution of pressure and saturation in a CO2 sequestration scenario.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2011 |
| Autor(en): | Büsing, H. ; Willkomm, J. ; Bischof, Christian ; Clauser, C. |
| Art des Eintrags: | Bibliographie |
| Titel: | Using exact Jacobians in an implicit Newton method for solving multiphase flow in porous media |
| Sprache: | Englisch |
| Publikationsjahr: | 2011 |
| Verlag: | Inderscience |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Int. J. Computational Science and Engineering |
| Kurzbeschreibung (Abstract): | We present a new numerical approach to solve the fully coupled equations for two-phase flow in porous media with exact Jacobians. The method is based on a space and time discretisation and a linearisation of the arising non-linear algebraic system with Newton's method, where the required Jacobians are obtained with automatic differentiation (AD), providing the exact derivatives. We compare the forward AD differentiation mode to the standard finite difference method and the complex variable method in terms of precision and performance. It turns out that AD performs favourable compared to both methods. We also illustrate the advantages of exact Jacobians in a test example for two-phase flow in porous media investigating the evolution of pressure and saturation in a CO2 sequestration scenario. |
| Freie Schlagworte: | multiphase flow; porous media; implicit Newton method; exact Jacobians; automatic differentiation; CO2 sequestration; ADiMat; Matlab |
| Zusätzliche Informationen: | to appear |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Scientific Computing |
| Hinterlegungsdatum: | 16 Mai 2013 11:28 |
| Letzte Änderung: | 07 Jan 2021 09:50 |
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