| Title |
Numerical Simulation of Shallow Water Flow Using Multi-dimensional Limiting Process (MLP) |
| Authors |
안현욱(An, Hyunuk) ; 유순영(Yu, Soonyoung) |
| DOI |
https://doi.org/10.12652/Ksce.2012.32.2B.123 |
| Keywords |
천수방정식;수치진동;TVD 제어자 MLP;Shallow water equations;numerical oscillations;TVD limiters |
| Abstract |
MLP (Multi dimensional Limiting Process) is implemented to simulate shallow water flows, and its performance over conventional TVD limiters in multidimensional flows is verified through several numerical simulations. MLP was developed to control oscillations for multi-dimensional compressible flows and proved to improve accuracy, efficiency and robustness in compressible flows. In this study, we applies MLP to modeling shallow water equations(SWEs) given that the SWEs are amenable to be solved using the large range of numerical methods developed to deal with compressible flows and MLP has been yet used for SWEs. Simulation results through the benchmark tests show that MLP has favorable features such as numerical oscillation control and convergence behaviors comparable to the conventional limiters. Both numerical accuracy and stability are improved in multi-dimensional discontinuous flows. |