The basic hyperbolic–elliptic black-oil model describes oil–water displacement in a porous medium. Given its mathematical complexity, there is a need for particular simple solutions for validation of numerical methods. We present a class of stationary solutions, which are easy to compute, and in many cases are given by explicit formulae. These solutions are constructed by a nonlinear coupling of two linear equations, an elliptic pressure equation and a hyperbolic saturation equation.
Some observations regarding the stationary Buckley–Leverett equation / Coclite, G. M.; Karlsen, K. H.; Risebro, N. H.. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 170:(2025). [10.1016/j.aml.2025.109621]
Some observations regarding the stationary Buckley–Leverett equation
Coclite, G. M.
;
2025
Abstract
The basic hyperbolic–elliptic black-oil model describes oil–water displacement in a porous medium. Given its mathematical complexity, there is a need for particular simple solutions for validation of numerical methods. We present a class of stationary solutions, which are easy to compute, and in many cases are given by explicit formulae. These solutions are constructed by a nonlinear coupling of two linear equations, an elliptic pressure equation and a hyperbolic saturation equation.| File | Dimensione | Formato | |
|---|---|---|---|
|
2025_Some_observations_regarding_the_stationary_Buckley–Leverett_equation_pdfeditoriale.pdf
accesso aperto
Tipologia:
Versione editoriale
Licenza:
Creative commons
Dimensione
605.12 kB
Formato
Adobe PDF
|
605.12 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
