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Rice University, Department of Computational and Applied Mathematics
photo of Loic Cappanera

Loïc Cappanera

Postdoctoral Research Associate

Rice University
Duncall Hall
6100 Main Street MS-134
Houston, TX 77005
Office:   DCH 2001
Dpt. Fax:   + 1 713 348 5318
Email:  loic.cappanera <at>
Curriculum Vitae:   pdf



  • CAAM 519: Fall 2107, Fall 2018. See the course's webpage "here".

Research Interests

  • Scientific Computing (numerical analysis, development, implementation and validation of algorithm in Computational Fluid Dynamics).
  • Entropy viscosity as a non-linear stabilization method for Navier-Stokes equations.
  • Multiphase Computational Fluid Dynamics (level set method, approximation methods for problems with variable density, dynamical viscosity and electrical conductivity).
  • Magnetohydrodynamics (precessing cylinder, Von Kármán flow, Liquid Metal Battery).
  • Porous media (Black oil model).

The code SFEMaNS

I am one of the three main developpers of SFEMaNS. Here are some general information on this code:
  • SFEMaNS solves the magnetohydrodynamics equations in 3D axi-symmetric domains.
  • Thermodynamics, multiphase and ferrohydrodynamics problem can be considered.
  • Lagrange finite element in meridian plane and Fourier decomposition in azimuthal direction.
  • Fully parallel code.
  • The documentation is available on SFEMaNS's webpage "here".

Publications in refereed Journals

[8] W. Herreman, C. Nore, J.-L. Guermond, L. Cappanera and N. Weber, "Metal pad roll instability in cylindrical reduction cells", submitted to Journal of Fluid Mechanics.
[7] L. Cappanera and 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 and 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 and 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 and J.-L. Guermond, "Direct numerical simulation of the axial dipolar dynamo in the Von-Karman-Sodium experiment", Euro. Phys. Letters, 114 (2016) 65002. (Reprint).
[2] L. Cappanera, J.-L. Guermond, J. Léorat , C. Nore, "Two spinning ways for precession dynamo", Physical Review E, 93 (2016) 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. (Reprint).