sandbox/acastillo/readme

    Andrés Castillo

    My name is Andrés. I store in this location some of the work done in Basilisk. I mainly work with parametric instabilities, vortex instabilities and thermal convection.

    Structure of this sandbox

    This sandbox is divided in different parts:

    • filaments includes an implementation of a Vortex Filament Method (VFM) using Biot-Savart and some examples.
    • input_fields includes routines to read existing simulation results and generate initial conditions for new simulations.
    • output_fields includes routines to write simulation results in different formats and evaluate some quantities.

    Articles

    Parametric instabilities

    [grea2025]

    Benoit-Joseph Gréa, Andrés Castillo-Castellanos, Antoine Briard, Alexis Banvillet, Nicolas Lion, Catherine Canac, Kevin Dagrau, and Pauline Duhalde. Frozen waves in the inertial regime. Journal of Fluid Mechanics, 1021:A12, 2025. [ DOI | http | .pdf ]
    [Castillo2025]

    Andrés Castillo-Castellanos, Benoît-Joseph Gréa, Antoine Briard, and Louis Gostiaux. Mixing induced by faraday surface waves. In preparation for Journal of Fluid Mechanics, 2025.

    Vortex flows

    [abraham2022]

    Aliza Abraham, Andrés Castillo-Castellanos, and Thomas Leweke. Simplified model for helical vortex dynamics in the wake of an asymmetric rotor. FLOW, applications of fluid mechanics, 3:E5, 2023. [ DOI | http | .pdf ]
    [castillo2022]

    Andrés Castillo-Castellanos and S Le Dizès. Closely spaced co-rotating helical vortices: long-wave instability. Journal of Fluid Mechanics, 946, August 2022. [ DOI | http | .pdf ]
    [castillo2021]

    A Castillo-Castellanos, Stéphane Le Dizès, and E Durán Venegas. Closely spaced co-rotating helical vortices: General solutions. Physical Review Fluids, 6(11):114701, 2021. [ DOI | http | .pdf ]

    Thermal convection

    [castillo2019]

    Andrés Castillo-Castellanos, Anne Sergent, Bérengère Podvin, and Maurice Rossi. Cessation and reversals of large-scale structures in square Rayleigh-Bénard cells. Journal of Fluid Mechanics, 877:922–954, October 2019. [ DOI | http | .pdf ]
    [castillo2017]

    Andrés Alonso Castillo-Castellanos. Turbulent convection in Rayleigh-Bénard cells with modified boundary conditions. Theses, Université Pierre et Marie Curie - Paris VI, September 2017. [ http | .pdf ]
    [castillo2016]

    Andrés Castillo-Castellanos, Anne Sergent, and Maurice Rossi. Reversal cycle in square Rayleigh-Bénard cells in turbulent regime. Journal of Fluid Mechanics, 808:614–640, 2016. [ DOI | http | .pdf ]