Self-similar solutions of shallow water equations with porosity

Simulated free surface transients in periodic urban layouts have been reported to be self-similar the space-time domain when averaged on scale of building period. Such self-similarity is incompatible with head loss model formulae used most porosity-based shallow water models. Verifying it experimentally thus salient importance. New dam-break flow laboratory experiments are reported, where two different configurations idealized buildings explored. A analysis experimental level fields validates character flow. Simulating experiment using two-dimensional also yields period-averaged solutions. Then, Single Porosity (SP), Integral (IP) and Dual (DIP) models applied. Although all three behave a similar fashion storage connectivity porosities close each other, DIP one that upscales best refined 2D solution.