% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@INPROCEEDINGS{Ouardghi:1052261,
      author       = {Ouardghi, Abdelouahed and Asmouh, Ilham},
      title        = {{I}sogeometric {G}alerkin-{C}haracteristic {A}nalysis
                      for {M}iscible {F}lows in {P}orous {M}edia},
      volume       = {15911},
      address      = {Cham},
      publisher    = {Springer Nature Switzerland},
      reportid     = {FZJ-2026-00878},
      isbn         = {978-3-031-97569-1 (print)},
      series       = {Lecture Notes in Computer Science},
      pages        = {291 - 305},
      year         = {2025},
      comment      = {Computational Science – ICCS 2025 Workshops},
      booktitle     = {Computational Science – ICCS 2025
                       Workshops},
      abstract     = {This note presents a NURBS-based isogeometric analysis
                      (IgA) combined with an $L^2$-projection
                      characteristic-Galerkin method to deal with incompressible
                      miscible problems. The advection part is treated in a
                      semi-Lagrangian framework, where high-order non uniform
                      rational B-spline (NURBS) functions are used to interpolate
                      the solution. The resulting semi-discrete equation is solved
                      using an efficient backward differentiation time-stepping
                      algorithm, where Darcy velocity and pressure are updated
                      within each timestep. The accuracy of the method is analyzed
                      through a miscible displacement of an incompressible fluid,
                      where the analytical solution is known, and a real problem
                      with a viscous fingering in porous media. The numerical
                      results presented in this study demonstrate the potential of
                      the proposed IgA characteristic-Galerkin method to allow for
                      large time steps in the computations without deteriorating
                      the accuracy of the obtained solution and to accurately
                      maintain the shape of the solution in the presence of
                      complex patterns in the solution.},
      month         = {Jul},
      date          = {2025-07-07},
      organization  = {25th International Conference on
                       Computational Science, Singapore
                       (Singapore), 7 Jul 2025 - 9 Jul 2025},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs)
                      and Research Groups (POF4-511) / SDL Fluids $\&$ Solids
                      Engineering},
      pid          = {G:(DE-HGF)POF4-5112 / G:(DE-Juel-1)SDLFSE},
      typ          = {PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
      doi          = {10.1007/978-3-031-97570-7_22},
      url          = {https://juser.fz-juelich.de/record/1052261},
}