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001033565 020__ $$a978-3-031-63783-4 (electronic)
001033565 0247_ $$2doi$$a10.1007/978-3-031-63783-4_4
001033565 0247_ $$2ISSN$$a0302-9743
001033565 0247_ $$2ISSN$$a1611-3349
001033565 0247_ $$2datacite_doi$$a10.34734/FZJ-2024-06445
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001033565 041__ $$aEnglish
001033565 1001_ $$0P:(DE-Juel1)194959$$aOuardghi, Abdelouahed$$b0
001033565 1112_ $$a24th International Conference on Computational Science$$cMalaga$$d2024-07-02 - 2024-07-04$$gICCS2024$$wSpain
001033565 245__ $$aA Backward-Characteristics Monotonicity Preserving Method for Stiff Transport Problems
001033565 250__ $$a24th ed
001033565 260__ $$aHeidelberg$$bSpringer$$c2024
001033565 300__ $$a33 - 47
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001033565 4900_ $$aLecture Notes in Computer Science$$v14838
001033565 520__ $$aConvection-diffusion problems in highly convective flows can exhibit complicated features such as sharp shocks and shear layers which involve steep gradients in their solutions. As a consequence, developing an efficient computational solver to capture these flow features requires the adjustment of the local scale difference between convection and diffusion terms in the governing equations. In this study, we propose a monotonicity preserving backward characteristics scheme combined with a second-order BDF2-Petrov-Galerkin finite volume method to deal with the multiphysics nature of the problem. Unlike the conventional Eulerian techniques, the two-step backward differentiation procedure is applied along the characteristic curves to obtain a second-order accuracy. Numerical results are presented for several benchmark problems including sediment transport in coastal areas. The obtained results demonstrate the ability of the new algorithm to accurately maintain the shape of the computed solutions in the presence of sharp gradients and shocks.
001033565 536__ $$0G:(DE-HGF)POF4-5112$$a5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs) and Research Groups (POF4-511)$$cPOF4-511$$fPOF IV$$x0
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001033565 7001_ $$0P:(DE-HGF)0$$aasmouh, ilham$$b1$$eCorresponding author
001033565 770__ $$z978-3-031-63785-8=978-3-031-63783-4
001033565 773__ $$0PERI:(DE-600)2018930-8$$a10.1007/978-3-031-63783-4_4$$x0302-9743$$y2024
001033565 8564_ $$uhttps://link.springer.com/chapter/10.1007/978-3-031-63783-4_4
001033565 8564_ $$uhttps://juser.fz-juelich.de/record/1033565/files/978-3-031-63783-4_4.pdf$$yOpenAccess
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001033565 9141_ $$y2024
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