Abstract
A long wave model with nesting scheme is widely used for tsunami simulation and impact assessment, generally. The conventional nesting scheme, however, has disadvantages for analyzing larger computational mesh size along the coast and needs expensive computation costs. Adaptive Mesh Refinement (AMR) method can consider the interactions of different grids and reduce computational cost together. This study applied the AMR for calculation of long wave propagations, and the different mesh refinement schemes were applied and optimized by a series of numerical experiments. The model was applied to the 2011 Tohoku Earthquake Tsunami, and the model was validated against the post tsunami inundation survey data.
Highlights
The 2011 Tohoku Earthquake and tsunami gave a catastrophic and tragic earthquake-tsunami disaster for Japan
The mesh refinement, is arbitrary, and optimum scheme for the mesh dividing and merging is necessary for tsunami simulation
A series of numerical experiments of soliton propagation and run-up on a constant slope and hindcast of the 2011 Tohoku Earthquake Tsunami were examined to check the sensitivity of mesh refinement scheme and numerical accuracy
Summary
The 2011 Tohoku Earthquake and tsunami gave a catastrophic and tragic earthquake-tsunami disaster for Japan. The general nesting scheme divides an entire computation domain into some sub-regions hierarchically and calculates toward high resolution area. The one-way nesting scheme cannot consider influence of local tsunami deformation effects in the fine grid on the coarse grid system. This can sometimes be a problem for the edge wave propagation. In order to resolve these problems with nesting scheme, we apply an Adaptive Mesh Refinement (AMR) method for long wave propagation, which is dynamic grid allocation method for finite difference method. The AMR can consider the interactions of different grids and reduce computational cost before and after main tsunami wave approaches to coasts. The application of the model to the 2011 Tohoku Earthquake tsunami is carried out, and the validity of model is checked comparing with survey data
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