Abstract
In this paper we propose a new method for the treatment of open boundary condition for lattice Boltzmann method applied to the shallow water simulations in a D2Q9 mesh. We also prove the accomplishment of the well-balanced property for the proposed model. This analysis is done for an arbitrary node in the domain and several boundary conditions. We validate our model through several numerical tests, including a lake at rest and cylindrical dam break flows over flat and complex bathymetries. The numerical simulation shows that our proposal for open boundary condition retains the main features of the waves when crossing such boundaries.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
