@Article{CiCP-22-202, author = {Wang , ShuqinDeng , WeihuaYuan , Jinyun and Wu , Yujiang}, title = {Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations}, journal = {Communications in Computational Physics}, year = {2019}, volume = {22}, number = {1}, pages = {202--227}, abstract = {

By combining the characteristic method and the local discontinuous Galerkin method with carefully constructing numerical fluxes, variational formulations are established for time-dependent incompressible Navier-Stokes equations in R2. The nonlinear stability is proved for the proposed symmetric variational formulation. Moreover, for general triangulations the priori estimates for the L2−norm of the errors in both velocity and pressure are derived. Some numerical experiments are performed to verify theoretical results.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.220515.031016a}, url = {http://global-sci.org/intro/article_detail/cicp/13353.html} }