INFLUENCE OF DISCRETIZATION SCHEMES OF ADVECTION TERMS ON THE COMPUTED TSUNAMI RUN-UP VELOCITY ALONG THE RIVER

Abstract

 While numerical prediction of tsunami run up along the river is important for evaluation of expanded risks of inundation from the river, verifications of the models are not yet sufficientlty conducted due to lack of the detailed data. Video footage of tsunami running up along the Kido river under the 2011 Tohoku Earthquake Tsunami indicated that widely-used tsunami runup model tends to underestimate observed runup speed of tsunami along the river. This study analyzed the influence of numerical discretization schemes on tsunami run-up velocity. The case study of the experiment of bore wave showed that non-conservative schemes tend to underestimate the runup speed of tsunami bore while conservative ones yield reasonable predictive skills. Similar trend was also observed in the case study of 1 dimensional river run-up and indicates the importance of choince of numerical scheems for predictions of runup speed of tsunami along the river.