The convection-radiation effects in thermal fluid flows are studied based on the Lattice Boltzmann method. Nine-velocity flow and temperature distributions are used to obtain the mass, momentum and energy equations in thermal incompressible flows by studying equivalent moment systems. The radiative heat flux in the energy equation is obtained using the discrete-ordinates solution of the radiati...

We present a hierarchical approach for enhancing the robustness of numerical solvers for modelling radiative MHD flows in multi-dimensions. This approach is based on clustering the entries of the global Jacobian in a hierarchical manner that enables employing a variety of solution procedures ranging from a purely explicit time-stepping up to fully implicit schemes. A gradual coupling of the rad...

We study radial flame ball solutions of a three dimensional free boundary problem (FBP) which models combustion of a gaseous mixture with dust in a micro-gravity environment. The model combines diffusion of mass and temperature with reaction at the flame front, the reaction rate being temperature dependent. The radiative flux due to the presence of dust enters the equation for the temperature i...

Abstract A significant challenge in radiative transfer theory for atmospheres of exoplanets and brown dwarfs is the derivation computationally efficient methods that have adequate fidelity to more precise, numerically demanding solutions. In this work, we extend capability first open-source model computing reflected light at any phase geometry, PICASO (Planetary Intensity Code Atmospheric Spect...