Two Dimensional simulation of a Dam Break wave propagation for the isolated building test case University of Pavia Gabriella Petaccia Impact Workshop...

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Two Dimensional simulation of a Dam Break wave propagation for the isolated building test case University of Pavia Gabriella Petaccia Impact Workshop... Louvian La Neuve, November 2003

MATHEMATICAL MODEL DISCRETIZATION NUMERICAL SOLVER Shallow water equations Finite Volume I order Upwind (Roe) SOURCE TERMS SCHEMATIZATION Bottom slope Pointwise ( Valiani et al 2002 ) Upwind-Mass balance equation (Bermudez et al 1998) Friction term

CFL elements G1G2

G4G3 G5 G6  bil =0.5% upwind  bil =0.1% pointwise

upwind pointwise VELOCITY FIELD T=1 s

t=1s t=5s

t=10s t=20s

NORM OF VELOCITY FIELD t= 1 s

NORM OF VELOCITY FIELD t= 2 s

NORM OF VELOCITY FIELD t= 5 s

NORM OF VELOCITY FIELD t= 10 s

Conclusions I order finite volume solver employing two different treatments of source terms has been applied to the isolated test case The comparisons between measured and simulated data is acceptable, the wave propagation is slower than in the experiments, the maximum water depth values are almost represented The upwind treatment seems more accurate in the gauges close to the building and reproduces more correctly the emptying phenomena Thank you for your attention!!