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001052261 0247_ $$2doi$$a10.1007/978-3-031-97570-7_22
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001052261 0247_ $$2ISSN$$a1611-3349
001052261 020__ $$a978-3-031-97569-1 (print)
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001052261 037__ $$aFZJ-2026-00878
001052261 1001_ $$0P:(DE-Juel1)194959$$aOuardghi, Abdelouahed$$b0$$eCorresponding author
001052261 1112_ $$a25th International Conference on Computational Science$$cSingapore$$d2025-07-07 - 2025-07-09$$gICCS 2025$$wSingapore
001052261 245__ $$aIsogeometric Galerkin-Characteristic Analysis for Miscible Flows in Porous Media
001052261 260__ $$aCham$$bSpringer Nature Switzerland$$c2025
001052261 29510 $$aComputational Science – ICCS 2025 Workshops
001052261 300__ $$a291 - 305
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001052261 4900_ $$aLecture Notes in Computer Science$$v15911
001052261 520__ $$aThis 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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001052261 7001_ $$00009-0001-9930-9555$$aAsmouh, Ilham$$b1
001052261 773__ $$a10.1007/978-3-031-97570-7_22
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