The project has started in 2015 at I2M laboratory. Contributions are welcome to improve physics handled by the code, as well as numerical methods.


Current developpers

Past Contributors

Joris Picot, Hamed Bouare, Idriss Daoudi, Anna Lefay, Nicolas Bourdineaud, Gabriel Suau, Robin Colombier, Antoine Michael Diego Jost, Félix Henri, Quentin Thomas, Odelin Gentieu, Fabien Salmon



Notus first steps and its ecosystem, feb. 2020 (pdf)



In this section, the reader will find articles, reports and presentations relative to the numerical methods used in Notus code.


J. Jansen, S. Glockner, D. Sharma, A. Erriguible, Incremental pressure correction method for subsonic compressible flows, submitted, 2024 (pdf).

F. Desmons and P. Lubin, Numerical Simulations of Waves Breaking over a Rectangular Submerged Reef Consisting of a Double Step: Analogies with massive Natural Wave Breaking over Abrupt Bathymetries, Water Waves, 2022 (pdf).

S. Glockner, A.M.D. Jost, A. Erriguible, Advanced petascale simulations of the scaling up of mixing limited flow processes for materials synthesis, Chemical Engineering Journal, Volume 431, Part 1, 2022, 133647 (pdf).

Félix Henri, Mathieu Coquerelle, Pierre Lubin. Geometrical level set reinitialization using closest points method and kink detection for thin filaments, topology changes and two-phase flows. Journal of Computational Physics, Volume 448, 1 January 2022, 110704 (HAL version).

D. Sharma, Mathieu Coquerelle, Arnaud Erriguible, Sakir Amiroudine. Adaptive interface thickness based mobility – Phase-field method for incompressible fluids. International Journal of Multiphase Flow, Volume 142, 2021, 103687 (DOI)

A. M. D. Jost and S. Glockner, Direct forcing immersed boundary methods: Improvements to the Ghost Node Method, Journal of Computational Physics, volume 438, 110371, 2021 (pdf).

F. Desmons, M. Coquerelle, A generalized high-order momentum preserving (HOMP) method in the one-fluid model for incompressible two phase flows with high density ratio, Journal of Computational Physics, Volume 437, 110322, 2021 (pdf).

S. Bordere, Glockner, S., Numerical modeling of diffusion-controlled phase transformation using the Darken method: Application to the dissolution/precipitation processes in materials, Computational Materials Science, 186, 109944, 2021 (pdf).

Fan Zhang, Samuel Marre, Arnaud Erriguible, Mixing intensification under turbulent conditions in a high pressure microreactor, Chemical Engineering Journal,
Volume 382, 122859, 2020.

A. Lemoine. Analytic Gradient for the Moment-of-Fluid Method in Axisymmetric and on General Polyhedrons in Any Dimension. Journal of Computational Physics, Volume 422, 109741, 2020 (pdf).

A. M. D. Jost, S. Glockner, A. Erriguible, Direct numerical simulations of fluids mixing above mixture critical point, Journal of Supercritical Fluids, Volume 165, 104939, 2020 (pdf).

T. Milcent, A. Lemoine, Moment-of-Fluid Analytic Reconstruction on 3D Rectangular Hexahedrons, Journal of Computational Physics, volume 409, 109346, 2020 (pdf).

Fan Zhang, Arnaud Erriguible, Samuel Marre, Investigating laminar mixing in high pressure microfluidic systems, Chemical Engineering Science, Volume 205, Pages 25-35, 2019.

J. Picot, S. Glockner, Discretization stencil reduction of direct forcing immersed boundary methods on rectangular cells: the Ghost Node Shifting Method, Journal of Computational Physics, 364, pp18-48, 2018 (pdf).

A. Lemoine, S. Glockner, J. Breil, Moment-of-Fluid Analytic Reconstruction on 2D Cartesian Grids, Journal of Computational Physics, 328, 131–139, 2017 (pdf).

M. Coquerelle, S. Glockner, A fourth-order accurate curvature computation in a level set framework for two-phase flows subjected to surface tension forces, Journal of Computational Physics, 305, pp838-876, 2016 (pdf).


F. Salmon, A. Lemoine, S. Glockner, D. Lacanette, Représentation numérique de géométries quelconques dans des maillages cartésiens et amélioration du partitionnement de domaines, Workshop Méthodes Frontières Immergées en Nouvelle-Aquitaine, 10/2022 (pdf)

S. Glockner, Notus CFD code presentation, Journées Calcul & Simulation en Nouvelle-Aquitaine organisées par la fédération MARGAUx, 6-7 décembre 2021, Arcachon (pdf).

S. Glockner, A. Lemoine, F. Salmon, Immersed boundary methods and complex geometries in CFD code Notus, CEA-CESTA seminar – October 2021 (pdf).

F. Desmons, P. Lubin, The breaking criteria: a way to predict and characterize a breaking wave, WCCC-ECCOMAS Congress 2020 – MS402, 11-15/01/2021 (pdf).

F. Henri, M. Coquerelle, P. Lubin, Level-Set method for fluid simulation: new numerical method for the reinitialization of the Level-Set, Groupe de Travail MFN, 07/2020, Pessac (pdf).

F. Henri, M. Coquerelle, P. Lubin, Simulation numérique 3D de chute de goutte de pluie à vitesse terminale, GDR Transinter, Aussois 2019 (pdf).

T. N. Le, M. Coquerelle, S. Glockner Numerical simulation of moving contact line in wetting phenomena using the Generalized Navier Boundary Condition, Congrès Français de Mécanique, Brest, August 2019 (pdf).

S. Glockner, J. Picot, A. Lemoine, M. Coquerelle, Immersed boundary methods in the Notus code: contribution, applications and perspectives, Groupe de Travail MathOcéan, Université de Bordeaux, avril 2018 (pdf).

M. Coquerelle, S. Glockner, F. Desmons, CEFIPRA workshop, Advances in Fluid Mechanics: Theoritical, experimental and numérical approaches, sept. 11-13 2017, Bordeaux (pdf).

S. Glockner, M. Coquerelle, A. Lemoine, J. Picot, CFD code Notus (0.2.0) : environment, architecture, verification and validation, performances, Journée RNC COSIN « Développement et maintenance de grands codes de simulation », ENSAM Paristech, september 11th 2017 (pdf).

J. Picot, S. Glockner, T. Milcent, D. Lacanette, Immersed boundary methods for anisotropic Cartesian meshes. ECCOMAS 2016 (pdf).

A. Lemoine, S. Glockner, J. Breil, Moment-of-Fluid Analytic Reconstruction on 2D Cartesian grids. ECCOMAS 2016 (pdf).

M. Coquerelle, S. Glockner, An accurate numerical method for computing surface tension forces in CFD codes Numerical experiments with surface tension, MicroMast, sept. 8th, Brussels, 2016 (pdf).

J. Picot, S. Glockner, T. Milcent, D. Lacanette, Méthode des frontières immergées pour les maillages cartésiens anisotropes dans le code Notus. Présentation TASC – CORIA, 24 février 2016 (pdf).

A. Lemoine, S. Glockner, J. Breil, Moment-of-Fluid Analytic Reconstruction on 2D Cartesian grids. Los Alamos National Laboratory 01/22/2016 and Florida State University 01/25/2016 (pdf).

J. Picot, S. Glockner, Notus testing framework, Groupe de Travail « Plate-forme de tests pour codes parallèles », INRIA Bordeaux, 26 jan. 2016. (pdf)

J. Picot, S. Glockner, T. Milcent, D. Lacanette, Application de la méthode des frontières immergées aux équations de Navier-Stokes. Groupe de Travail MFN, 17 déc. 2015, Pessac. (pdf).

A. Lemoine, S. Glockner, J. Breil, Moment-of-Fluid on Cartesian grids, interface representation & reconstruction, Groupe de Travail MFN, 19 nov. 2015, Pessac (pdf).

S. Glockner, M. Coquerelle, A. Lemoine, J. Picot, Notus, first steps, Groupe de Travail MFN, 15 oct. 2015, Pessac (pdf).

M. Coquerelle, S. Glockner, Calcul de courbure d’une surface par méthode level set pour les phénomènes de tension superficielle, Journées cluster CPU, Université de Bordeaux, 9 et 10 septembre 2015 (pdf).

S. Glockner, M. Coquerelle, A. Lemoine, J. Picot, Notus : un code pour la mécanique des fluides incompressibles, groupe de travail « Modèles numériques pour les écoulements complexes incompressibles », cluster CPU, Université de Bordeaux, 22/05/2015 (pdf).

J. Picot, S. Glockner, T. Milcent, D. Lacanette, Méthode de frontières immergées parallélisée, Groupe de Travail MFN, I2M-TREFLE, 19 mars 2015 (pdf)