TY - JOUR
T1 - Numerical Study of Turbidity Current over a Three-Dimensional Seafloor
AU - Ching Hao Yu, Liang Zhao, Haw Liang Wen, Tony Wen Hann Sheu & Rui Dong An
JO - Communications in Computational Physics
VL - 4
SP - 1177
EP - 1212
PY - 2018
DA - 2018/12
SN - 25
DO - http://doi.org/10.4208/cicp.OA-2017-0241
UR - https://global-sci.org/intro/article_detail/cicp/12895.html
KW - Turbidity current, upwinding combined compact difference scheme, immersed boundary method, concentration transport equation, sedimentation rates, energy budget.
AB - <p style="text-align: justify;">Turbidity current over a Gaussian-bump is investigated numerically using
the upwinding combined compact difference (UCCD) scheme and the immersed boundary (IB) method in Cartesian grids. In the prediction of lock-exchange gravity-driven
flow motion, the initial discontinuous concentration field is smoothed to avoid numerical oscillation by solving the Hamilton-Jacobi equation. The UCCD spatial scheme
with sixth-order accuracy which introduces less dispersion errors is then used to discretize advection and diffusion terms in the calculation of concentration transport
equation. Direct forcing IB method is employed to treat solid object bumps in the fluid
flow. The incompressible Navier-Stokes solutions are obtained through the projection
method. Analysis of the smoothing procedure, grid sensitivity and the effect of the
Schmidt numbers is performed for the turbidity current problem to validate the proposed numerical algorithm, which is shown to be capable of accurately demonstrating
their results. Finally, several problems of turbidity current over a three-dimensional
seafloor are investigated. The front locations of the currents interacting with the bump
are predicted under different Reynolds numbers. Also, the current properties, namely
the suspended particle mass, sedimentation rate and energy budget, are compared
with the available numerical results.</p>