Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations. (3rd May 2017)

• Record Type: Journal Article
• Authors: Wang, Shuqin; Deng, Weihua; Yuan, Jinyun; Wu, Yujiang
• Is Part Of: Communications in computational physics. Volume 22:Number 1(2017:Jul.)
• Page Start: 202
• Page End: 227
• Publication Date: 2017-05-03
• Subjects: 65M12, -- 65M15, -- 65M60; Navier-Stokes equations, -- local discontinuous Galerkin method, -- symmetric variational formulation; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.220515.031016a
• Languages: English
• ISSNs: 1815-2406

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 inℝ 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.