- June 27, 2018 4:00 PM
- Auditorium 7.01, Pfaffenwaldring 7
Abstract of the presentation:
In this talk we consider in detail the behaviour of wetting fronts in the form of travelling wave solutions of Richards' equation, including the effect of capillary hysteresis and dynamic capillarity. With respect to the capillary hysteresis we discuss two models: (a) play-type hysteresis with vertical scanning curves and (b) extended play-type hysteresis with realistic (inclined) scanning curves. The dynamic effect is described by a capillarity coefficient and a non-constant capillarity function. Travelling waves describe well-developed saturation profiles that connect the injected saturation to the initial saturation. We discuss saturation overshoot, saturation bounds as well as the dependence of the saturation on the capillarity coefficient and capillarity function. We also present PDE simulations that confirm our theoretical findings.