Mathematics of clouds and climate change
William and Flora Hewlett Foundation Fellowship

Abstract

The world’s top climate scientists warn us that we are nearing a critical point of no return in climate change. While mitigation measures (such as the deployment of clean energy) are put into effect globally, strategies that can delay catastrophic climate destabilization are urgently needed. The primary tool for evaluating the effectiveness of these strategies are global climate models. These models have a major source of uncertainty: the representation of clouds and the complex effects of aerosols on clouds. High-resolutions clouds models exist but are computationally prohibitive for long-term climate simulations. I intended to explore some state-of-the-art computational approaches to enable computationally cheap cloud and cloud-aerosol interaction simulations without sacrificing accuracy.


Collaborators
Dr. S. Marras, New Jersey Institute of Technology
Dr. G. Rozza, SISSA
Michele Girfoglio, SISSA

Students Involved in the Project
Natalia Hajlasz, Undergraduate student (Harvard University)
Valeria Vela, Undergraduate student (Harvard University)
Yassine Tissaoui, Graduate student (NJIT)
Asma Dylan Ouerghi, Graduate student (NJIT)

Related publications

  1. M. Girfoglio, A. Quaini, G. Rozza: A novel Large Eddy Simulation model for the Quasi-Geostrophic Equations in a Finite Volume setting. Submitted.
    arXiv:2202.00295
  2. M. Girfoglio, A. Quaini, G. Rozza: A POD-Galerkin reduced order model for the Navier-Stokes equations in stream function-vorticity formulation. Submitted.
    arXiv:2201.00756

Other publications completed during the fellowship year but related to other projects


  1. M. Hess, A. Quaini, G. Rozza: Data-Driven Enhanced Model Reduction for Bifurcating Models in Computational Fluid Dynamics. Submitted.
    arXiv:2202.09250
  2. M. Hess, A. Quaini, G. Rozza: A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with Dynamic Mode Decomposition and manifold interpolation. Submitted.
    arXiv:2201.10872
  3. Y. Wang, Y. Palzhanov, A. Quaini, M. Olshanskii, S. Majd: Lipid domain coarsening and fluidity in multicomponent lipid vesicles: A continuum based model and its experimental validation. BBA - Biomembranes, Accepted.
    arXiv:2111.03022
  4. M. Olshanskii, Y. Palzhanov, A. Quaini: A comparison of Cahn-Hilliard and Navier-Stokes-Cahn-Hilliard models on manifolds. Vietnam Journal of Mathematics, Accepted.
    arXiv:2110.15873
  5. N. Bellomo, L. Gibelli, A. Quaini, and A. Reali: Towards a mathematical theory of behavioral human crowds. Math. Models Methods Appl. Sci. Published online.
    link

Software

The software used for the simulations in the above papers is:

  • ITHACA-FV, freely available under the GPL 3 License.