TY  - CONF
AU  - Ouardghi, Abdelouahed
AU  - Asmouh, Ilham
TI  - Isogeometric Galerkin-Characteristic Analysis for Miscible Flows in Porous Media
VL  - 15911
CY  - Cham
PB  - Springer Nature Switzerland
M1  - FZJ-2026-00878
SN  - 978-3-031-97569-1 (print)
T2  - Lecture Notes in Computer Science
SP  - 291 - 305
PY  - 2025
AB  - 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.
T2  - 25th International Conference on Computational Science
CY  - 7 Jul 2025 - 9 Jul 2025, Singapore (Singapore)
Y2  - 7 Jul 2025 - 9 Jul 2025
M2  - Singapore, Singapore
LB  - PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
DO  - DOI:10.1007/978-3-031-97570-7_22
UR  - https://juser.fz-juelich.de/record/1052261
ER  -