A Residual Distribution Method for Symmetrized Systems in Thermochemical Nonequilibrium

Lani, Andrea; Garicano‐Mena, Jesús; Deconinck, H.

doi:10.2514/6.2011-3546

Cited by 11 publications

(4 citation statements)

References 18 publications

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“…In our numerical model, both the electromagnetic and flow field equations are discretized by means of a second-order accurate finite volume method implemented within COOLFluiD, [43][44][45][46][47] an open computational platform for multi-physics and plasma 30, 48-50 in particular. The COOLFluiD ICP solver relies upon the AUSM+up scheme 51 for discretizing convective fluxes and upon a central treatment of diffusive fluxes.…”

Section: Methodsmentioning

confidence: 99%

Modeling of Non-equilibrium Plasmas in an Inductively Coupled Plasma Facility

Zhang

Lani

Chew³

et al. 2014

45th AIAA Plasmadynamics and Lasers Conference

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This paper presents the results of the numerical simulation of plasma flows inside the torch of the VKI inductively coupled plasma facility. The main purpose of this work is the parametric investigation of thermo-chemical non-equilibrium effects on the plasma jet at different operating pressures ranging from 3 to 15 kPa. The test gas is an ionized air mixture including eleven species. While the induced electric field inside the torch is computed by solving Helmholtz induction equation, a standard two-temperature formulation is used to account for non-equilibrium effects. In particular, the present analysis assesses the impact of different models for chemical kinetics and for vibration-chemistry-vibration coupling on the resulting plasma field. Solutions previously computed assuming LTE conditions are used as a reference for our benchmarks. Considerable differences on both the induced electric and temperature field are highlighted for the lower pressure cases.

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Section: Methodsmentioning

confidence: 99%

Modeling of Non-equilibrium Plasmas in an Inductively Coupled Plasma Facility

Zhang

Lani

Chew³

et al. 2014

45th AIAA Plasmadynamics and Lasers Conference

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“…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.…”

Section: Mhd Simulationsmentioning

confidence: 99%

Effects of mesh topology on MHD solution features in coronal simulations

et al. 2022

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Magnetohydrodynamic (MHD) simulations of the solar corona have become more popular with the increased availability of computational power. Modern computational plasma codes, relying upon computational fluid dynamics (CFD) methods, allow the coronal features to be resolved using solar surface magnetograms as inputs. These computations are carried out in a full three-dimensional domain and, thus, selection of the correct mesh configuration is essential to save computational resources and enable/speed up convergence. In addition, it has been observed that for MHD simulations close to the hydrostatic equilibrium, spurious numerical artefacts might appear in the solution following the mesh structure, which makes the selection of the grid also a concern for accuracy. The purpose of this paper is to discuss and trade off two main mesh topologies when applied to global solar corona simulations using the unstructured ideal MHD solver from the COOLFluiD platform. The first topology is based on the geodesic polyhedron and the second on $UV$ mapping. Focus is placed on aspects such as mesh adaptability, resolution distribution, resulting spurious numerical fluxes and convergence performance. For this purpose, first a rotating dipole case is investigated, followed by two simulations using real magnetograms from the solar minima (1995) and solar maxima (1999). It is concluded that the most appropriate mesh topology for the simulation depends on several factors, such as the accuracy requirements, the presence of features near the polar regions and/or strong features in the flow field in general. If convergence is of concern and the simulation contains strong dynamics, then grids which are based on the geodesic polyhedron are recommended compared with more conventionally used $UV$ -mapped meshes.

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“…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.…”

Section: Numerical Schemes and Boundary Conditionsmentioning

confidence: 99%

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

Maneva

Laguna

Lani

et al. 2017

ApJ

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In order to study chromospheric magnetosonic wave propagation including, for the first time, the effects of ionneutral interactions in the partially ionized solar chromosphere, we have developed a new multi-fluid computational modelaccounting for ionization and recombination reactions in gravitationally stratified magnetized collisional media. The two-fluid model used in our 2D numerical simulations treats neutrals as a separate fluid and considers charged species (electrons and ions) within the resistive MHD approach with Coulomb collisions and anisotropic heat flux determined by Braginskiis transport coefficients. The electromagnetic fields are evolved according to the full Maxwell equations and the solenoidality of the magnetic field is enforced with a hyperbolic divergence-cleaning scheme. The initial density and temperature profiles are similar to VAL III chromospheric model in which dynamical, thermal, and chemical equilibrium are considered to ensure comparison to existing MHD models and avoid artificial numerical heating. In this initial setup we include simple homogeneous flux tube magnetic field configuration and an external photospheric velocity driver to simulate the propagation of MHD waves in the partially ionized reactive chromosphere. In particular, we investigate the loss of chemical equilibrium and the plasma heating related to the steepening of fast magnetosonic wave fronts in the gravitationally stratified medium.

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A Residual Distribution Method for Symmetrized Systems in Thermochemical Nonequilibrium

Cited by 11 publications

References 18 publications

Modeling of Non-equilibrium Plasmas in an Inductively Coupled Plasma Facility

Modeling of Non-equilibrium Plasmas in an Inductively Coupled Plasma Facility

Effects of mesh topology on MHD solution features in coronal simulations

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

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