Curvilinear immersed boundary method for simulating coupled flow and bed morphodynamic interactions due to sediment transport phenomena
- Authors
- Khosronejad, Ali; Kang, Seok koo; Borazjani, Iman; Sotiropoulos, Fotis
- Issue Date
- Jan-2011
- Publisher
- ELSEVIER SCI LTD
- Keywords
- Immersed boundary method; Numerical models; Sediment transport models; Channel bends; Turbulence; Steady state
- Citation
- ADVANCES IN WATER RESOURCES, v.34, no.7, pp.829 - 843
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN WATER RESOURCES
- Volume
- 34
- Number
- 7
- Start Page
- 829
- End Page
- 843
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/169182
- DOI
- 10.1016/j.advwatres.2011.02.017
- ISSN
- 0309-1708
- Abstract
- The fluid-structure interaction curvilinear immersed boundary (FSI-CURVIB) numerical method of Borazjani et al. [3] is extended to simulate coupled flow and sediment transport phenomena in turbulent open-channel flows. The mobile channel bed is discretized with an unstructured triangular mesh and is treated as a sharp-interface immersed boundary embedded in a background curvilinear mesh used to discretize the general channel outline. The unsteady Reynolds-averaged Navier-Stokes (URANS) equations closed with the k - omega turbulence model are solved numerically on a hybrid staggered/non-staggered grid using a second-order accurate fractional step method. The bed deformation is calculated by solving the sediment continuity equation in the bed-load layer using an unstructured, finite-volume formulation that is consistent with the CURVIB framework. Both the first-order upwind and the higher-order hybrid GAMMA schemes [12] are implemented to discretize the bed-load flux gradients and their relative accuracy is evaluated through a systematic grid refinement study. The GAMMA scheme is employed in conjunction with a sand-slide algorithm for limiting the bed slope at locations where the material angle of repose condition is violated. The flow and bed deformation equations are coupled using the partitioned loose-coupling FSI-CURVIB approach [3]. The hydrodynamic module of the method is validated by applying it to simulate the flow in an 180 degrees open-channel bend with fixed bed. To demonstrate the ability of the model to simulate bed morphodynamics and evaluate its accuracy, we apply it to calculate turbulent flow through two mobile-bed open channels, with 90 degrees and 135 degrees bends, respectively, for which experimental measurements are available.
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