Papers by Charles Chelem Mayigué

Numerical simulation of Biogas combustion by using a finite volume based multi-species transport model
Journal of Energy Resources Technology
In this paper, we advocate the use of multi-species transport model coupled to global mechanisms ... more In this paper, we advocate the use of multi-species transport model coupled to global mechanisms instead of using detailed mechanisms, which are still not yet computational affordable for the majority of the research groups in Africa. The open source software OpenFOAM is used as the calculation platform. The obtained algorithm is validated by comparing its simulation results to the full GRI-3.0 mechanism based simulations of Charest et al.[1] with quite satisfactory agreement for methane flames diluted with CO2. The new code is then used to investigate the axial flame temperature of locally produced biogases from pig slurry and cow dung respectively named BG L1, BG L2, BG B1 and BG B2. These biogases differ from each other in their composition. Methane proportion in the mixture ranges from 46 to 52 %.

The magnetohydrodynamic (MHD) equations which combines the Navier-Stokes equations with the Maxwe... more The magnetohydrodynamic (MHD) equations which combines the Navier-Stokes equations with the Maxwell equations are essential for the investigations of many research areas as earth’s core modelling, metal casting, fusion devices and electrical and aerospace devices. In the present work, the central-upwind schemes proposed by Kurganov, Noelle and Petrova (Kurganov, Noelle, and Petrova, 2001) for hydrodynamics are extended and combined with the divergence cleaning method of Dedner (Dedner et al., 2002) in order to investigate the performance of the selffield and applied magneto-plasma dynamic thrusters which still involving some outstanding problems. This new algorithm is developed for the single temperature, ideal and resistive MHD equations in a finite volume discretization framework with Gaussian integration. The electrical conductivity is predicted according to the Spitzer-Härm formulation and the real gas ratio of specific heats proposed by Sankaran is implemented for higher discha...

European Journal of Mechanics - B/Fluids, 2018
The magnetoplasmadynamic (MPD) arcjet is a promising thruster concept which is developed for expl... more The magnetoplasmadynamic (MPD) arcjet is a promising thruster concept which is developed for exploration missions to the moon and Mars, and for raising orbits of large space structures. The MPD arcjet utilizes mainly electromagnetic force, i.e, Lorentz force J × B, which is generated in this work by interaction between the current density and a coaxial magnetic field azimuthally induced by the total discharge current. In the present paper, we describe the implementation of a density-based method for the simulation of the magnetohydrodynamic (MHD) equations under a finite volume formulation. This new algorithm was developed for both ideal and resistive MHD equations and makes use of the central-upwind schemes of Kurganov and Tadmor for flux calculation. As we assume that the plasma flow is a continuum fluid, electrical conductivity is predicted according to the Spitzer-Harm formulation. In the present work, the developed density-based code is validated through comparisons of the obtained results with experimental data and simulations of previous works. The chosen geometries for the simulations are the Princeton's Full Scale Benchmark Thruster (PFSBT) and Extended Anode Thruster (PEAT) and the Villani-H MPD thruster. The obtained results are in good agreement with the experimental data and previous simulation results. The ability of the developed model to deal with MHD equations and plasma acceleration into MPD thrusters is clearly demonstrated.
Journal of Applied Physics, 2018
Fabrication and investigation of a thermoacoustic loudspeaker based on carbon nanotube coated las... more Fabrication and investigation of a thermoacoustic loudspeaker based on carbon nanotube coated laser-scribed graphene

International Journal of Computational Methods and Experimental Measurements, 2016
The magnetoplasmadynamic (MPD) arcjet is a promising thruster which is developed for exploration ... more The magnetoplasmadynamic (MPD) arcjet is a promising thruster which is developed for exploration missions to the moon and Mars, and for raising orbits of large space structures. The MPD arcjet utilizes mainly electromagnetic force, i.e Lorentz force J × B, which is generated in this work by interaction between the current density and a coaxial magnetic field azimuthally induced by the total discharge current. In the present notes, we describe the implementation of a density-pressure-based method for the simulation of the magnetohydrodynamic (MHD) equations under a finite volume formulation. This new algorithm was developed for both ideal and resistive MHD equations and make use of the centralupwind schemes of Kurganov and Tadmor for flux calculation. As we assume that the plasma flow is a continuum fluid, electrical conductivity is predicted according to the Spitzer-Harm formulation. With the developed model, a limited set of computer runs was performed to assess the effect of geometric scale changes on an Argon self-field MPD thrusters performance. The results are reported and discussed.
Archive of Applied Mechanics, 2016
In the present work, the central-upwind schemes proposed by Kurganov et al. (SIAM J Sci Comput 23... more In the present work, the central-upwind schemes proposed by Kurganov et al. (SIAM J Sci Comput 23:707-740, 2001) for hydrodynamics are extended and combined with the divergence cleaning method of Dedner (J Comput Phys 175:645-673, 2002) in order to approximate the equations of the ideal magnetohydrodynamics in a finite volume discretization framework with Gaussian integration. To improve the quality of the solution, the Van Leer interpolation scheme is used. The accuracy and the robustness of the obtained solver are demonstrated through numerical simulations of benchmark problems such as the Brio-Wu shock tube problem, the Orszag-Tang vortex problem and the 2D cloud-shock interaction problem.

Despite the advances in combustion research, the highest exhaust velocity of a functional chemica... more Despite the advances in combustion research, the highest exhaust velocity of a functional chemical propulsion system, 3.600 to 4.500 m/s from sea level to high altitude, is still inadequate for most deepspace missions of interest. The present situation of space exploration calls for missions beyond the moon and for such missions, chemical propulsion is not a viable option, except for the case of launch vehicles where high thrust is required. Functionally, the inability of chemical propulsion systems to achieve higher exhaust velocities is due to limitation in the maximum tolerable temperature in the combustion chamber and to avoid excessive heat transfer to the walls. Both these limitations can be overcome by use of electric propulsion, which can be defined as the acceleration of gases for propulsion by electrical heating and/or by electric and magnetic volume forces. The magnetoplasmadynamic (MPD) thrusters have the unique capability, among all other developed electric propulsion s...
In the present work, the central-upwind schemes proposed by Kurganov et al. (SIAM J Sci Comput 23... more In the present work, the central-upwind schemes proposed by Kurganov et al. (SIAM J Sci Comput 23:707–740, 2001) for hydrodynamics are extended and combined with the divergence cleaning method of Dedner (J Comput Phys 175:645–673, 2002) in order to approximate the equations of the ideal magnetohy-drodynamics in a finite volume discretization framework with Gaussian integration. To improve the quality of the solution, the Van Leer interpolation scheme is used. The accuracy and the robustness of the obtained solver are demonstrated through numerical simulations of benchmark problems such as the Brio–Wu shock tube problem, the Orszag–Tang vortex problem and the 2D cloud–shock interaction problem.

The magnetoplasmadynamic (MPD) arcjet is a promising thruster which is developed for exploration ... more The magnetoplasmadynamic (MPD) arcjet is a promising thruster which is developed for exploration missions to the moon and Mars, and for raising orbits of large space structures. The MPD arcjet utilizes mainly electromagnetic force, i.e Lorentz force J × B, which is generated in this work by interaction between the current density and a coaxial magnetic field azimuthally induced by the total discharge current. In the present notes, we describe the implementation of a density–pressure-based method for the simulation of the magnetohydrodynamic (MHD) equations under a finite volume formulation. This new algorithm was developed for both ideal and resistive MHD equations and make use of the central-upwind schemes of Kurganov and Tadmor for flux calculation. As we assume that the plasma flow is a continuum fluid, electrical conductivity is predicted according to the Spitzer-Harm formulation. With the developed model, a limited set of computer runs was performed to assess the effect of geometric scale changes on an Argon self-field MPD thrusters performance. The results are reported and discussed.
The present model describes magneto-hydrodynamic (MHD) effects on diffusing shock waves in compre... more The present model describes magneto-hydrodynamic (MHD) effects on diffusing shock waves in compressible flows. The accurateness and the robustness of these new density-based numerical algorithm in his ideal form was tested on a series of benchmark numerical experiments like the present MHD shock tube [1]. Interpolation schemes are used for interpolation of density, temperature, velocity and the magnetic field. For the discretization of laplacian terms with diffusion coefficient for polyhedral meshes, we make use of the Gauss linear uncorrected schemes to deal with the case that the consecutive cell faces are non-orthogonal. The approach described above and developed in the present project has been coupled with semi-discrete central schemes (e.g. Greenshields et al. [2]). All computational results are validated with verified data and analytical results.
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Papers by Charles Chelem Mayigué