A Numerical Study of Two-Phase Flow Models with Dynamic Capillary Pressure and Hysteresis
Castillo–Grone’s mimetic operators
General Chemical Engineering
0208 environmental biotechnology
Fluid Dynamics (physics.flu-dyn)
0207 environmental engineering
FOS: Physical sciences
Physics - Fluid Dynamics
02 engineering and technology
Computational Physics (physics.comp-ph)
Pressure overshoot
Catalysis
Saturation overshoot
34C55, 35L75, 65M06, 65M20, 76T10
Play-type hysteresis
Chemical Engineering(all)
Physics - Computational Physics
Dynamic capillary pressure
DOI:
10.1007/s11242-016-0802-z
Publication Date:
2016-12-07T19:15:50Z
AUTHORS (2)
ABSTRACT
Saturation overshoot and pressure overshoot are studied by incorporating dynamic capillary pressure, capillary pressure hysteresis and hysteretic dynamic coefficient with a traditional fractional flow equation in one dimension. Using the method of lines, the discretizations are constructed by applying Castillo-Grone's mimetic operators in the space direction and explicit trapezoidal integrator in the time direction. Convergence tests and conservation property of the schemes are presented. Computed profiles capture both the saturation overshoot and pressure overshoot phenomena. Comparisons between numerical results and experiments illustrate the effectiveness and different features of the models.
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