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Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations

Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations
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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.

Author Details

Shuqin Wang

Weihua Deng

Jinyun Yuan

Yujiang Wu

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