Onate at 11:39, 31 January 2019

2019-01-31T11:39:10Z

Move page script: Move page script moved page M. E. 1970a to M. E. 2015a

2017-11-21T14:31:25Z

Move page script moved page M. E. 1970a to M. E. 2015a

Scipediacontent: Scipediacontent moved page Draft Content 471084423 to M. E. 1970a

2017-11-21T12:26:01Z

Scipediacontent moved page Draft Content 471084423 to M. E. 1970a

Scipediacontent: Created page with "== Abstract == A new implicit stabilized formulation for the numerical solution of the compressible NavierStokes equations is presented. The method is based on the Finite Cal..."

2017-11-21T12:15:25Z

Created page with "== Abstract == A new implicit stabilized formulation for the numerical solution of the compressible NavierStokes equations is presented. The method is based on the Finite Cal..."

New page

== Abstract ==

A new implicit stabilized formulation for the numerical solution of the compressible NavierStokes equations is presented. The method is based on the Finite Calculus (FIC) scheme using the Galerkin finite element method (FEM) on triangular grids. Via the FIC formulation, two stabilization terms, called streamline term and transverse term, are added to the original conservation equations in the space-time domain. The non-linear system of equations resulting from the spatial discretization is solved implicitly using a damped Newton method benefiting from the exact Jacobian matrix. The matrix system is solved at each iteration with a preconditioned GMRES method. The efficiency of the proposed stabilization technique is checked out in the solution of 2D inviscid and laminar viscous flow problems where appropriate solutions are obtained especially near the boundary layer and shock waves. The work presented here can be considered as a follow up of a previous work of the authors [24]. In that paper, the stabilized Galerkin FEM based on the FIC formulation was derived for the Euler equations together with an explicit scheme. In the present paper, the extension of this work to the Navier-Stokes equations using an implicit scheme is presented.

== Full document ==
<pdf>Media:draft_Content_471084423con331.pdf</pdf>

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		+	Published in ''Computational Mechanics'', Vol. 56 (1), pp. 113-129, 2015<br />
		+	doi: 10.1007/s00466-015-1161-2
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	== Abstract ==		== Abstract ==

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M. E. 2015a - Revision history

Onate at 11:39, 31 January 2019

Move page script: Move page script moved page M. E. 1970a to M. E. 2015a

Scipediacontent: Scipediacontent moved page Draft Content 471084423 to M. E. 1970a

Scipediacontent: Created page with "== Abstract == A new implicit stabilized formulation for the numerical solution of the compressible NavierStokes equations is presented. The method is based on the Finite Cal..."