Year: 2017
Author: Shuqin Wang, Weihua Deng, Jinyun Yuan, Yujiang Wu
Communications in Computational Physics, Vol. 22 (2017), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.220515.031016a
Communications in Computational Physics, Vol. 22 (2017), Iss. 1 : pp. 202–227
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Navier-Stokes equations local discontinuous Galerkin method symmetric variational formulation.
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