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Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations

  • Shuqin Wang (a1) (a2), Weihua Deng (a1), Jinyun Yuan (a2) and Yujiang Wu (a1)
Abstract
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 2. The nonlinear stability is proved for the proposed symmetric variational formulation. Moreover, for general triangulations the priori estimates for the L 2–norm of the errors in both velocity and pressure are derived. Some numerical experiments are performed to verify theoretical results.

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*Corresponding author. Email addresses: wsqlzu@gmail.com (S. Wang), dengwh@lzu.edu.cn (W. Deng), yuanjy@gmail.com (J. Yuan), myjaw@lzu.edu.cn (Y.Wu)
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Communicated by Chi-Wang Shu

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Communications in Computational Physics
  • ISSN: 1815-2406
  • EISSN: 1991-7120
  • URL: /core/journals/communications-in-computational-physics
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