Assessment of Heat Flux Prediction Capabilities of Residual Distribution Method: Application to Atmospheric Entry Problems

Abstract

In the present contribution we evaluate the heat flux prediction capabilities of second-order accurate Residual Distribution (RD) methods in the context of atmospheric (re-)entry problems around blunt bodies. Our departing point is the computation of subsonic air flows (with air modeled either as an inert ideal gas or as chemically reacting and possibly out of thermal equilibrium gas mixture) around probe-like geometries, as those typically employed into high enthalpy wind tunnels. We confirm the agreement between the solutions obtained with the RD method and the solutions computed with other Finite Volume (FV) based codes.However, a straightforward application of the same numerical technique to hypersonic cases involving strong shocks exhibits severe deficiencies even on a geometry as simple as a 2D cylinder. In an attempt to mitigate this problem, we derive new variants of RD schemes. A comparison of these alternative strategies against established ones allows us to derive a diagnose for the shortcomings observed in the traditional RD schemes.

Effects of mesh topology on MHD solution features in coronal simulations

“…2009; Mena et al. 2015; Zhang, Lani & Panesi 2016), radiation (Santos & Lani 2016), magnetospheric/solar plasmas (Alvarez Laguna et al. 2016, 2019; Alonso Asensio et al.…”

“…The COOLFluiD (Computational Object-Oriented Libraries for Fluid Dynamics) solver was used for all our CFD simulations. COOLFluiD is a framework for scientific HPC for multi-physics simulations (Kimpe et al 2005;Lani et al 2006Lani et al , 2013 with application to space re-entry flows (Panesi et al 2007;Degrez et al 2009;Mena et al 2015;Zhang, Lani & Panesi 2016), radiation (Santos & Lani 2016), magnetospheric/solar plasmas (Alvarez Laguna et al 2016, 2019Alonso Asensio et al 2019) and focus on algorithmic developments for high-speed flows (Lani, Mena & Deconick 2011;Vandenhoeck & Lani 2019). Compared with state-of-the-art numerical tools for global coronal simulations, COOLFluiD-MHD (Yalim et al 2011;Lani, Yalim & Poedts 2014) is an implicit solver (using a backward Euler time discretisation scheme), which means that Courant-Friedrichs-Lewy (CFL) numbers much higher than one (up to several thousands in some applications) can be afforded for converging to steady state.…”

Multi-fluid Modeling of Magnetosonic Wave Propagation in the Solar Chromosphere: Effects of Impact Ionization and Radiative Recombination

“…The 2D two-fluid numerical simulations are carried out using a fully coupled multifluid/Maxwell solver (Laguna et al 2014(Laguna et al , 2016 which has been implemented within COOLFluiD (Lani et al 2005(Lani et al , 2006. The latter is an open source platform for high-performance scientific computing (Lani et al 2014), featuring advanced computational models/solvers for tackling re-entry aerothermodynamics (Panesi et al 2007;Degrez et al 2009;Lani et al 2011Munafo et al 2013;Mena et al 2015), simulation of experiments in high-enthalpy facilities (Knight et al 2012;Zhang et al 2015), ideal magnetohydrodynamics for space weather prediction (Yalim et al 2011;Lani et al 2014), radiation transport by means of ray tracing and Monte Carlo (Santos & Lani 2016) algorithms, etc.…”

r-adaptive algorithms for supersonic flows with high-order Flux Reconstruction methods

“…In this work, we present the development of novel AMR algorithms within the FR framework and its application to a number of representative test cases featuring steady-state supersonic flows on meshes with quadrilateral cells. The resulting solver has been implemented within the COOLFluiD platform [27,28] (a world-class open source framework for multi-physics modeling and high-performance computing, particularly focused on simulating hypersonic flows [29,30], radiation [31], laboratory [32] and space plasmas [33,34,35,36,37]). The paper is structured as follows: -Sec.2 reviews the state-of-the-art of FR method, following the work of Vandenhoeck and Lani [8]; -Sec.3 describes spring-based AMR, following the work of Ben Ameur and Lani [15,26]; -Sec.4 presents a new method, denominated Vertex springs; -Sec.5 shows some results for the Vertex springs method; -Sec.6 presents the main novelty of our work: a method denominated Sub-cell order-dependent spring analogy; -Sec.7 shows very promising results for the latter, on both linear and curvilinear meshes, in comparison with some analytical, h-refinement and high-order state-of-the-art results.…”