Abstract
Verification results for the LOGOS software package as applied to numerical simulations of tsunami waves are reported. The module of the LOGOS software package that is used for tsunami simulations is based on the numerical solution of three-dimensional Navier–Stokes equations. The verification included two steps. The first step involved the verification of LOGOS free-surface flow simulations on the test cases of a collapsing water column and gravity water sloshing in a tank and the known test cases of wave generation by objects falling into water or lifted out of it. The verification of LOGOS specifically for tsunami simulations was performed using a reference set of international benchmarks including the propagation and run-up of a single wave onto a flat slope and a vertical wall, the sliding of a wedge-shaped body down a slope, flow around an island and wave run-up over an obstacle. The results of the verification simulations demonstrate that LOGOS provides sufficient accuracy in numerical simulations of tsunami waves, namely, their generation, propagation and run-up.
Highlights
The adequate description of the generation, propagation and run-up of tsunami waves is one of the most critical issues in the problem of marine natural disasters [1,2,3,4,5,6,7,8]
Before we proceed to the verification of the tsunami simulations, let us present some results of LOGOS verification against free-surface test problems, including the collapse of a liquid column, gravity water sloshing in a tank, the fall of a sphere into a liquid, the fall of a parallelepiped into a liquid and wave flows induced by lifting a rectangular beam out of water
Before we proceed to the verification of the tsunami simulations, let us present some results of Geosciences 2020, 10, 385 against free-surface test problems, including the collapse of a liquid column, gravity water sloshing in a tank, the fall of a sphere into a liquid, the fall of a parallelepiped into a liquid and wave flows induced by lifting a rectangular beam out of water
Summary
The adequate description of the generation, propagation and run-up of tsunami waves is one of the most critical issues in the problem of marine natural disasters [1,2,3,4,5,6,7,8]. This set of benchmarks offers data to test whether the computational physics model can correctly describe the process of tsunami propagation and run-up It contains wave gage data, based on which one can quantify the error in mathematical simulation relative to an experiment. To assess how accurate LOGOS simulations are, below, we present LOGOS verification results for free-surface problems, including the collapse of a liquid column, gravity water sloshing in a tank, the known problems of wave generation by bodies falling into water or lifted out of water, and tsunami simulations using the NTHMP benchmark problems [22] with an additional test case of wave run-up over an obstacle. We show that the results calculated by the LOGOS software package closely match both analytical and experimental data and results obtained by other authors
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