Current Research Interests

  • Data variational assimilation
  • Optical-flow
  • Wavelet
  • Navier-Stokes equations

Main Publications and Preprints

  • Divergence-free Wavelet Projection Method for Incompressible Viscous Flow on the Square, S. Kadri Harouna, V. Perrier. To appear in SIAM Multiscale Modeling and Simulation, (2015). pdf
  • Self-similar prior and wavelet bases for hidden incompressible turbulent motion, P. Héas, F. Lavancier, S. Kadri Harouna. SIAM Journal on Imaging Sciences, Volume 7, Issue 2, pp. 1171-1209, (2014). pdf
  • S. Kadri Harouna, E. Mémin. A wavelet based numerical simulation of Navier-Stokes equations under uncertainty, hal-00958137v1, (2014). pdf
  • Effective construction of divergence-free wavelets on the square, S. Kadri Harouna, V. Perrier. J. of Computational and Applied Math, 240, 74--86 (2013). pdf
  • Divergence-free wavelets and high-order regularization, S. Kadri Harouna, P. Dérian, P. Héas, E. Mémin. International Journal of Computer Vision, Volume 103, Issue 1, pp 80-99, May (2013). pdf
  • S. Kadri Harouna, E. Mémin. Navier-Stokes simulation with fluid particles location uncertainty, Int. Symposium on Turbulence and Shear Flow Phenomena (TSFP-8), Poitiers, France, Aug (2013). pdf
  • Helmholtz-Hodge Decomposition on [0,1]d by Divergence-free and Curl-free Wavelets, S. Kadri-Harouna, V. Perrier, Lecture Notes in Computer Science series, vol. 6920, springer, pp. 311-329, (2012). pdf
  • Discrete Wavelet Scheme for Navier-Stokes Assimilation, S. Kadri Harouna S., E. Mémin, (2011). pdf
  • Divergence-free Wavelet Projection Method for Incompressible Viscous Flow, S. Kadri Harouna, V. Perrier, (2011). pdf
  • Effective Wavelet-Based Regularization of Divergence-free Fractional Brownian Motion, P. Héas, S. Kadri Harouna, P. Dérian, (2011) . pdf
  • Divergence-free and Curl-free Wavelets on the Square for Numerical Simulations, S. Kadri Harouna, V. Perrier, (2011). pdf

Selected talks

  • Une méthode de Gauge pour Navier-Stokes incompressible utilisant des ondelettes à divergence nulle ou à rotationnel nul, CANUM (2010) pdf
  • Divergence-free and Curl-free Wavelets on [0, 1]d with related applications, Curve and surface conference, Avignon (2010) pdf
  • Variational Assimilation of Discrete Navier-Stokes Equations, Seminaire au vert Fluminance (2011) pdf

Ph.D Thesis

  • Ondelettes pour la prise en compte de conditions aux limites en turbulence incompressible, Kadri Harouna S. Ph.D thesis (2010) [tel-00544373] pdf
  • Defense slide pdf