In the paper, a filtration model for immiscible – compressible and incompressible – two‐phase liquids is considered. The 1D case of the model is analyzed in detail and it is shown that approximation of the Buckley‐Leverett function by a step‐wise linear function leads to new fictitious jumps of the solution.
Skusčio tekėjimo modelio sprendinio priklausomybė nuo pradinių duomenų
Santrauka. Darbe nagrinėjamas dvisluoksnis filtracijos modelis spudžių ir nespudžių skysčių atvejais. Detaliai išnagrinėtas vienmatis modelis ir parodyta, kad Buckley‐Leverett funkciją aproksimuojant dalimis tiesine funkcija, sprendinyje atsiranda fiktyvus šuolis.
Buikis, A., & Solovyov, S. (2001). Influence of input data on the solution of the multiphase liquid flow model. Mathematical Modelling and Analysis, 6(1), 39-47. https://doi.org/10.3846/13926292.2001.9637143
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