DOI: 10.5061/dryad.4mw6m908p
title: Velocity, density and energy budget statistics from the article: Validation and application of the lattice Boltzmann algorithm for a turbulent immiscible Rayleigh-Taylor system

description: We develop a multicomponent lattice Boltzmann (LB) model for the 2D
 Rayleigh--Taylor turbulence with a Shan-Chen pseudopotential
 implemented on GPUs. Accuracy of the LB model is tested both for early and
 late stages of instability. For the developed turbulent motion we analyze
 the balance between different terms describing variations of the kinetic
 and potential energies. Then, we analyze the role of interface in the
 energy balance, and also the effects of the vorticity induced by the
 interface in the energy dissipation. Statistical properties are compared
 for miscible and immiscible flows. In this Dataset, we have
 included the files for the statistics of the energy budget for
 the miscible and immiscible Rayleigh-Taylor flows studied in the
 referred article. We also included the examples of the density
 and velocity fields showed in the Figures 1 and 2 of the article.
description: The data includes information for the analysis of the energy
 budget for miscible and immiscible Rayleigh-Taylor flows described in the
 referred article.  These files are in the format .mat. Each file is a
 matrix with 10 rows and 89 columns, corresponding to 10 simulations and
 89.000 time steps respectively.  The statistics were obtained from
 solutions given by the Shan-Chen multicomponent lattice Boltzmann
 method. Examples of density and velocity fields for
 miscible and immiscible Rayleigh-Taylor flows in linear, non-linear and
 self-similar regimes are also included.
description: List of files (in the format .mat) for the energy budget
 analysis with the respective description in parentheses:
 - Energy_flux_bulk_pressure_tensor_immiscible.mat (Evolution of
 the energy flux due to the bulk pressure tensor for 10 immiscible RT
 flows);<br> - Energy_flux_bulk_pressure_tensor_miscible.mat
 (Evolution of the energy flux due to the bulk pressure tensor for 10
 miscible RT flows);<br> - Energy_flux_buoyancy_term_miscible.mat
 (Evolution of the energy flux due to the buoyancy term for 10 miscible RT
 flows);<br> - Energy_flux_buoyancy_term_miscible.mat (Evolution of
 the energy flux due to the buoyancy term for 10 immiscible RT
 flows);<br> - Energy_flux_Korteweg_stress_tensor_immiscible_flow.mat
 (Evolution of the energy flux due to the Korteweg stress for 10 immiscible
 RT flows);<br> -
 Energy_flux_Korteweg_stress_tensor_miscible_flow.mat (Evolution of the
 energy flux due to the Korteweg stress for 10 miscible RT
 flows);<br> - Energy_flux_spurious_term_immiscible.mat (Evolution of
 the spurious contribution for 10 immiscible RT flows);<br> -
 Energy_flux_spurious_term_miscible.mat (Evolution of the spurious
 contribution for the energy flux for 10 miscible RT flows);<br> -
 Energy_flux_total_stress_tensor_immiscible.mat (Evolution of the energy
 flux due to the total stress tensor for 10 immiscible RT flows);<br>
 - Energy_flux_viscous_term_immiscible.mat (Evolution of the energy flux
 due to the viscous term for 10 immiscible RT flows);<br> -
 Energy_flux_viscous_term_miscible.mat (Evolution of the energy flux due to
 the viscous term for 10 miscible RT flows);<br> -
 Enstrophy_evolution_immiscible_flow.mat (Evolution of the enstrophy for 10
 immiscible RT flows);<br> - Enstrophy_evolution_miscible_flow.mat
 (Evolution of the enstrophy for 10 miscible RT flows);<br> -
 Kinetic_energy_evolution_immiscible_flows.mat (Evolution of the kinetic
 energy for 10 immiscible RT flows);<br> -
 Kinetic_energy_evolution_miscible_flows.mat (Evolution of the kinetic
 energy for 10 miscible RT flows);<br> -
 Potential_energy_evolution_immiscible_flows.mat (Evolution of the
 potential energy for 10 immiscible RT flows);<br> -
 Potential_energy_evolution_miscible_flows.mat (Evolution of the potential
 energy for 10 miscible RT flows);<br> -
 Total_lenght_of_the_interface.mat (Evolution of the total length of the
 interface for 10 immiscible RT flows);<br> -
 Variation_of_kinetic_energy_immiscible_flows.mat (Evolution of the kinetic
 energy for 10 immiscible RT flows);<br> -
 Variation_of_kinetic_energy_miscible_flows.mat (Evolution of the kinetic
 energy for 10 immiscible RT flows);<br> -
 Variation_of_the_energy_of_the_interface.mat (Evolution of the variation
 of the energy of the interface for 10 immiscible RT flows);<br> -
 Energy_flux_buoyancy+viscous+pressure_immiscible_flows.mat (Evolution of
 the sum of the contributions of the buoyancy, viscous and total pressure
 tensor terms for 10 immiscible RT flows);<br> -
 Energy_flux_buoyancy+viscous+pressure_miscible_flows.mat (Evolution of the
 sum of the contributions of the buoyancy, viscous and total pressure
 tensor terms for 10 miscible RT flows); List of files
 (in the format .dat) for the density field of one component for an
 immiscible Rayleigh- Taylor flow, indicating the linear, non-linear and
 self-similar regimes: - primadensita.17_immiscible.dat
 (density profile for an immiscible flow at the time t=17.000);
 - primadensita.23_immiscible.dat (density profile for an
 immiscible flow at the time t=23.000); -
 primadensita.83_immiscible.dat (density profile for an immiscible flow at
 the time t=83.000); For the density field, the first
 two columns indicate the horizontal and vertical coordinates of the grid
 points and the third column is the respective value of the
 density. List of files (in the format .dat) for the
 density field for one component for a miscible Rayleigh-Taylor
 flow, indicating the linear, non-linear and self-similar
 regimes: - primadensita.9_miscible.dat (density profile
 for a miscible flow at the time t=9.000); -
 primadensita.15_miscible.dat (density profile for a miscible flow at the
 time t=15.000); - primadensita.83_miscible.dat (density
 profile for a miscible flow at the time t=83.000); For
 the density field, the first two columns indicate the horizontal and
 vertical coordinates of the grid points and the third column is the
 respective value of the density. List of files (in the
 format .dat) for the velocity fields for an immiscible Rayleigh- Taylor
 flow, indicating the linear, non-linear and self-similar
 regimes: - veloconf.17_immiscible.dat (velocity
 field for an immiscible flow at the time t=17.000); -
 veloconf.23_immiscible.dat (velocity field for an immiscible flow at the
 time t=23.000); - veloconf.83_immiscible.dat (velocity
 field for an immiscible flow at the time t=83.000); For
 the velocity fields, the first two columns indicate the horizontal and
 vertical coordinates of the grid points and the third and fourth
 columns are the horizontal and vertical coordinates of the velocity
 respective field. List of files (in the format .dat)
 for the velocity fields for a miscible Rayleigh-Taylor flow, indicating
 the linear, non-linear and self-similar regimes: -
 veloconf.9_miscible.dat (velocity field for an immiscible flow at the time
 t=9.000); - veloconf.15_miscible.dat (velocity
 field for an immiscible flow at the time t=15.000); -
 veloconf.83_miscible.dat (velocity field for an immiscible flow at the
 time t=83.000); For the velocity fields, the first two
 columns indicate the horizontal and vertical coordinates of the grid
 points and the third and fourth columns are the horizontal and vertical
 coordinates of the velocity respective field.