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GEA: A New Finite Volume-Based Open Source Code for the Numerical Simulation of Atmospheric and Ocean Flows

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Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems (FVCA 2023)

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Abstract

We introduce GEA (Geophysical and Environmental Applications), a new open-source atmosphere and ocean modeling framework within the finite volume C++ library OpenFOAM®. Here, we present the development of a non-hydrostatic atmospheric model consisting of a pressure-based solver for the Euler equations written in conservative form using density, momentum, and total energy as variables. We validate the solver for two idealized test cases involving buoyancy driven flows: smooth and non-smooth rising thermal bubble. Through qualitative and quantitative comparisons against numerical data available in the literature, we show that our approach is accurate.

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References

  1. Climate Modeling Alliance. https://github.com/CliMA

  2. Weather Research and Forecasting. https://www.mmm.ucar.edu/models/wrf

  3. GEA - Geophysical and Environmental Applications. https://github.com/GEA-Geophysical-and-Environmental-Apps/GEA

  4. Girfoglio, M., Quaini, A., Rozza, G.: A novel large Eddy simulation model for the quasi-geostrophic equations in a finite volume setting. J. Comput. Appl. Math. 418, 114656 (2023)

    Article  MathSciNet  MATH  Google Scholar 

  5. Girfoglio, M., Quaini, A., Rozza, G.: A linear filter regularization for POD-based reduced order models of the quasi-geostrophic equations. Comptes Rendus Mècanique, 1–21 (2023)

    Google Scholar 

  6. Girfoglio, M., Quaini, A., Rozza, G.: Validation of an OpenFOAM-based solver for the Euler equations with benchmarks for mesoscale atmospheric modeling. AIP Advances 13, 055024 (2023)

    Google Scholar 

  7. Weller, H.G., Tabor, G., Jasak, H., Fureby, C.: A tensorial approach to computational continuum mechanics using object-oriented techniques. Comput. Phys. 12, 620–631 (1998)

    Article  Google Scholar 

  8. Restelli, M., Giraldo, F.X.: A conservative discontinuous Galerkin semi-implicit formulation for the Navier-Stokes equations in nonhydrostatic mesoscale modeling. SIAM J. Sci. Comput. 31 (2009)

    Google Scholar 

  9. Restelli, M.: Semi-Lagrangian and semi-implicit discontinuous Galerkin methods for atmospheric modeling applications. Ph.D. Thesis, Politecnico di Milano (2007)

    Google Scholar 

  10. Giraldo, F.X., Restelli, M.: A study of spectral element and discontinuous Galerkin methods for the Navier Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases. J. Comput. Phys. 227 (2008)

    Google Scholar 

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Correspondence to Michele Girfoglio .

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Girfoglio, M., Quaini, A., Rozza, G. (2023). GEA: A New Finite Volume-Based Open Source Code for the Numerical Simulation of Atmospheric and Ocean Flows. In: Franck, E., Fuhrmann, J., Michel-Dansac, V., Navoret, L. (eds) Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems. FVCA 2023. Springer Proceedings in Mathematics & Statistics, vol 433. Springer, Cham. https://doi.org/10.1007/978-3-031-40860-1_16

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