TY  - CONF
AU  - Ouardghi, Abdelouahed
AU  - asmouh, ilham
TI  - A Backward-Characteristics Monotonicity Preserving Method for Stiff Transport Problems; 24th ed
VL  - 14838
SN  - 0302-9743
CY  - Heidelberg
PB  - Springer
M1  - FZJ-2024-06445
SN  - 978-3-031-63785-8 (print)
T2  - Lecture Notes in Computer Science
SP  - 33 - 47
PY  - 2024
AB  - Convection-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.
T2  - 24th International Conference on Computational Science
CY  - 2 Jul 2024 - 4 Jul 2024, Malaga (Spain)
Y2  - 2 Jul 2024 - 4 Jul 2024
M2  - Malaga, Spain
LB  - PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
UR  - <Go to ISI:>//WOS:001279329400004
DO  - DOI:10.1007/978-3-031-63783-4_4
UR  - https://juser.fz-juelich.de/record/1033565
ER  -