Loic Cappanera

Articles in Refereed Journals

[24] S. Benard, W. Herreman, L. Cappanera, C. Nore "Connecting alloy composition to electrical potential in liquid metal batteries", submitted
[21] D. Geneste, H. Faller, T. Chaabo, A. Cheminet, V. Valori, Y. Ostovan, L. Cappanera, C. Cuvier , F. Daviaud, J.-M. Foucaut, J.-L. Guermond, J.-P. Laval, C. Nore, V. Padilla, C. Wiertel-Gasquet, B. Dubrulle, "Experimental study of subgrid stresses at the Kolmogorov scale in a turbulent von Karman flow", submitted
[23] A. Vu, L. Cappanera, "Error Analysis of a Semi-Implicit Time-Stepping Scheme for Incompressible Flows with Variable Density and Viscosity", accepted for publication in JNUM (August 2024).
[22] G. Jaramillo, L. Cappanera, C. Ward, "Analysis and Simulation of a Nonlocal Gray-Scott model", SIAM Journal on Applied Mathematics, 84.3 (2024): 856-889, DOI: 10.1137/22M1542441 ( "arXiv" ).
[20] S. Bénard, L. Cappanera, W. Herreman, C. Nore, "Magnetic field based finite element method for magneto-static problems with discontinuous electric potential distributions", Comptes Rendus. Mécanique, 351.S1 (2023): 1-20, DOI: 10.5802/crmeca.184 (Reprint).
[19] W. Herreman, L. Wierzchalek, G. M. Horstmann, L. Cappanera, and C.Nore, "Stability theory for metal pad roll in cylindrical liquid metal batteries", Journal of Fluid Mechanics, 962 (2023): A6, DOI: https://doi.org/10.1017/jfm.2023.238 (Reprint).
[18] G. Sosa Jones, B. Riviere, L. Cappanera, "Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media", IMA Journal of Numerical Analysis, (2022) 00, 1–34 , DOI: https://doi.org/10.1093/imanum/drac053 (Reprint).
[17] V. Girault, B. Riviere, L. Cappanera, "A Finite element method for degenerate two-phase flow in porous media. Part II: convergence", Journal of Numerical Mathematics, 29 (3) (2021). DOI: 10.1515/jnma-2020-0005 (Reprint).
[16] G. Jaramillo, L. Cappanera, C. Ward, "Numerical Methods for a Diffusive Class Nonlocal Operators", J Sci Comput , 88, 30 (2021), DOI: https://doi.org/10.1007/s10915-021-01543-7 (Reprint).
[15] W. Herreman, C. Nore, L. Cappanera, J.-L. Guermond, "Efficient mixing by swirling electrovortex flows in liquid metal batteries", Journal of Fluid Mechanics, 915 (2021) A17, DOI: https://doi.org/10.1017/jfm.2021.79 (Reprint).
[14] H. Faller, D. Geneste, T. Chaabo, A. Cheminet, V. Valori, Y. Ostovan, L. Cappanera, Ch. Cuvier, F. Daviaud, J.-M. Foucaut, J.-L. Guermond, J.-Ph. Laval, C. Nore, V. Padilla, C. Wiertel-Gasquet and B. Dubrulle, "On the nature of intermittency in a turbulent von Karman flow", Journal of Fluid Mechanics, 914 (2021) A2, DOI: https://doi.org/10.1017/jfm.2020.908 (Reprint).
[13] C. Nore, L. Cappanera, J.-L. Guermond, T. Weier, W. Herreman, "Feasibility of metal pad roll instability experiments at room temperature", Phys. Rev. Lett., 126 (2021), 184501, DOI: https://doi.org/10.1103/PhysRevLett.126.184501 (Reprint).
[12] V. Girault, B. Riviere, L. Cappanera, "A Finite element method for degenerate two-phase flow in porous media. Part I: well-posedness", Journal of Numerical Mathematics, 29 (2) (2021). DOI: 10.1515/jnma-2020-0004 (Reprint).
[11] L. Cappanera, P. Debue, H. Faller, D. Kuzzay, E-W. Saw, C. Nore, J.-L. Guermond, F. Daviaud C. Wiertel-Gasquet, B. Dubrulle, "Turbulence in realistic geometries with moving boundaries: when simulations meet experiments", Computer & Fluids, 214 (2021): 104750, DOI: 10.1016/j.compfluid.2020.104750 (Reprint).
[10] W. Herreman, S. Benard, C. Nore, P. Personnettaz, L. Cappanera, J.-L. Guermond, "Solutal buoyancy and electrovortex flow in liquid metal batteries", Physical Review Fluids, 5 (2020), DOI: 10.1103/PhysRevFluids.5.074501 (Reprint, supplementary material).
[9] W. Herreman, C. Nore, J.-L. Guermond, L. Cappanera, N. Weber, G. M. Horstmann, "Perturbation theory for metal pad roll instability in cylindrical reduction cells", Journal of Fluid Mechanics, 878 (2019) 598-646, DOI: 10.1017/jfm.2019.642 (Reprint).
[8] W. Herreman, C. Nore, P. Ziebell Ramos, L. Cappanera, J.-L. Guermond, N. Weber, "Numerical simulation of electrovortex flows in cylindrical fluid layers and liquid metal batteries", Physical Review Fluids, 4 (2019), DOI: 10.1103/PhysRevFluids.4.113702 (Reprint).
[7] L. Cappanera, B. Riviere, "Discontinuous Galerkin method for solving the black oil problem in porous media", Numer Methods Partial Differential Eq. (2018) 1-29, DOI: 10.1002/num.22324 (Reprint).
[6] C. Nore, D. Castanon Quiroz, L. Cappanera, J.-L. Guermond, "Numerical simulation of the Von-Karman-Sodium experiment", Journal of Fluid Mechanics, 854, (2018) 164-195, DOI: 10.1017/jfm.2018.582 (Reprint).
[5] L. Cappanera, J.-L. Guermond, W. Herreman, C. Nore, "Momentum based approximation of incompressible multiphase fluid flows", Int. J. Numer. Meth. Fluids, 86 (2018) 541--563, DOI: 10.1002/fld.4467 (Reprint).
[4] R. Zanella, C. Nore, F. Bouillault, L. Cappanera, I. Tomas, X. Mininger, J.-L. Guermond, "Study of Magnetoconvection Impact on a Coil Cooling by Ferrofluid with a Spectral / Finite Element Method", IEE Transactions on Magnetics, 54:3 (2018) 460014, DOI: 10.1109/TMAG.2017.2749539 . (Reprint).
[3] C. Nore, D. Castanon Quiroz, L. Cappanera, J.-L. Guermond, "Direct numerical simulation of the axial dipolar dynamo in the Von-Karman-Sodium experiment", Euro. Phys. Letters, 114 (2016) 65002, DOI:10.1209/0295-5075/114/65002 (Reprint).
[2] L. Cappanera, J.-L. Guermond, J. Léorat , C. Nore, "Two spinning ways for precession dynamo", Physical Review E, 93 (2016) 043113, DOI: 10.1103/physreve.93.043113 (Reprint).
[1] W. Herreman, C. Nore, L. Cappanera, J.-L. Guermond, "Tayler instability in liquid metal columns and liquid metal batteries", Journal of Fluid Mechanics, 771 (2015) 79-114, DOI: 10.1017/jfm.2015.159 (Reprint).

Reviewed Proceedings in Conferences

[2] L. Cappanera, B. Riviere, "Flexible Discretizations of the Three-Component Three-Phase Flow Problem", Society of Petroleum Engineers Reservoir Simulation Conference, April 10-11 2019, DOI: 10.2118/193906-ms (Reprint).
[1] C. Nore , J. Léorat, J. L. Guermond, L. Cappanera, F. Luddens, "Dynamo action in precessing cylinders", 9th PAMIR International Conference, Fundamental and Applied MHD, June 16-20 2014. (Reprint).

PhD thesis

[1] L. Cappanera, "Nonlinear stabilization of magnetohydrodynamics equations and application to multiphase flows", Ph.D. Fluid Mechanics, 2015, Paris-Saclay University (pdf). Advisor: Caroline Nore, co-advisor: Jean-Luc Guermond.