Flexible and efficient discretizations of multilayer models with variable density
Keywords
SC4I/Digitization, Innovation, and Competitiveness of the Production System
Code:
49/2020
Title:
Flexible and efficient discretizations of multilayer models with variable density
Date:
Thursday 23rd July 2020
Author(s):
Bonaventura,L.; Garres Diaz,J.
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Abstract:
We show that the semi-implicit time discretization approaches previously introduced for multilayer shallow water models for the barotropic case can be also applied to the variable density case with Boussinesq approximation. Furthermore, also for the variable density equations, a variable number of layers can be used, so as to achieve greater flexibility and efficiency of the resulting multilayer approach. An analysis of the linearized system is presented, which allows to de- rive linear stability parameters the resulting spatially semi-discretized equations. A number of numerical experiments demonstrate the effectiveness of the proposed approach.