Contribution to a conference proceedings/Contribution to a book

FZJ-2026-00878

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Isogeometric Galerkin-Characteristic Analysis for Miscible Flows in Porous Media

Ouardghi, A. (Corresponding author)FZJ* ; Asmouh, I.

2025
Springer Nature Switzerland Cham
ISBN: 978-3-031-97569-1 (print), 978-3-031-97570-7 (electronic)

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Please use a persistent id in citations: doi:10.1007/978-3-031-97570-7_22

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.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs) and Research Groups (POF4-511) (POF4-511)
2. SDL Fluids & Solids Engineering (SDLFSE)

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Database coverage:
Nationallizenz ; SCOPUS

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