TY - JOUR
T1 - Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations
AU - Wang , Shuqin
AU - Deng , Weihua
AU - Yuan , Jinyun
AU - Wu , Yujiang
JO - Communications in Computational Physics
VL - 1
SP - 202
EP - 227
PY - 2019
DA - 2019/10
SN - 22
DO - http://doi.org/10.4208/cicp.220515.031016a
UR - https://global-sci.org/intro/article_detail/cicp/13353.html
KW - Navier-Stokes equations, local discontinuous Galerkin method, symmetric variational formulation.
AB - <p style="text-align: justify;">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 R<sup>2</sup>. The nonlinear stability is proved for the proposed symmetric variational formulation. Moreover, for general triangulations the priori estimates for the L<sup>2</sup>−norm of the errors in
both velocity and pressure are derived. Some numerical experiments are performed to
verify theoretical results.</p>