Benchmark Problem #1
TSUNAMI RUNUP ONTO A PLANE BEACH
This is a simple setup for tsunami runup modeling exercise: a uniformly sloping beach and no variation in the lateral direction, viz. a 2-D problem in the vertical plane. The initial-value-problem (IVP) technique introduced by Carrier, Wu and Yeh (Journal of Fluid Mechanics, 475, 79-99, 2003) is used to produce the benchmark data. For the benchmark problem #1, the beach slope is fixed at 1/10 and the initial free surface elevation is given (see below). Your assignment is to compute and present the snapshots of the free surface and velocity profiles at t = 160 sec., 175 sec., and 220 sec. The detailed shoreline trajectory is the primary theme. Please describe the algorithm used to calculate the motion of the shoreline (the air-water-beach interface). Specifically, you are also required to present the temporal variations of the shoreline location and shoreline velocity from t = 100 sec. to 280 sec.
You can find the problem statement and input data file here.
You can find the data files for the analytical solutions:
Shoreline.xls
t160.xls
t175.xls
t220.xls
(Left-click to view data, Right-click to download)
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