Climate system: A global sensitivity approach
Résumé
This article is a first attempt to develop a numerical approach to solving differential equations based on Galerkin projections and extensions of polynomial chaos to analyze the sensitivity of input parameters in the Lorenz-Stenflo climate model. The sensitivity analysis was undertaken to measure the influence of key parameters (chemical properties of the atmosphere, rotation, temperature gradient, convection motion). In addition, we do simulations of the climate model in the non-chaotic case and in the chaotic case and we calculate the Sobol indices when the parameters follow the uniform law.
Mots clés
Climate Chaotic system Lorenz-Stenflo Sensitivity analysis Polynomials chaos Simulation Sobol' indices. 2010 Mathematics Subject Classification: 62P12 62J10 62K99
60C50
Climate
Chaotic system
Lorenz-Stenflo
Sensitivity analysis
Polynomials chaos
Simulation
Sobol' indices. 2010 Mathematics Subject Classification: 62P12
62J10
62K99