Construction of locally conservative fluxes for the SUPG method

2015 ◽  
Vol 31 (6) ◽  
pp. 1971-1994 ◽  
Author(s):  
Quanling Deng ◽  
Victor Ginting
Keyword(s):  
Supg Method ◽  
Locally Conservative

NUMERICAL SIMULATION OF FLOWS IN CARBONATE RESERVOIRS USING A STOKES-BRINKMAN MODEL AND LOCALLY CONSERVATIVE METHODS

2019 ◽  
Author(s):  
Sidclei Conceição ◽  
Marcelo Seidel ◽  
Paulo Roberto Maciel Lyra ◽  
DARLAN KARLO ELISIÁRIO DE CARVALHO
Keyword(s):  
Numerical Simulation ◽  
Carbonate Reservoirs ◽  
Brinkman Model ◽  
Locally Conservative

scholarly journals Locally Conservative Fluxes for the Continuous Galerkin Method

2007 ◽  
Vol 45 (4) ◽  
pp. 1742-1776 ◽  
Author(s):  
Bernardo Cockburn ◽  
Jayadeep Gopalakrishnan ◽  
Haiying Wang
Keyword(s):  
Galerkin Method ◽  
Continuous Galerkin ◽  
Locally Conservative

COMBINING ADJOINT STABILIZED METHODS FOR THE ADVECTION-DIFFUSION-REACTION PROBLEM

2007 ◽  
Vol 17 (02) ◽  
pp. 305-326 ◽  
Author(s):  
GUILLERMO HAUKE ◽  
GIANCARLO SANGALLI ◽  
MOHAMED H. DOWEIDAR
Keyword(s):  
Piecewise Linear ◽  
Diffusion Reaction ◽  
One Dimensional ◽  
Stabilized Methods ◽  
Advection Diffusion ◽  
Diffusive Limit ◽  
Reaction Transport ◽  
Globally Stable ◽  
Supg Method ◽  
Reaction Problem

Computational methods for the advection-diffusion-reaction transport equation are still a challenge. Although there exist globally stable methods, oscillations around sharp layers such as boundary, inner and outflow layers, are typical in multi-dimensional flows. In this paper a variational formulation that combines two types of stabilization integrals is proposed, namely an adjoint stabilization and a gradient adjoint stabilization. Two free parameters are chosen by imposing one-dimensional superconvergence. Then, when applied to multi-dimensional flows, the method presents better local stability than the present stabilized methods. Furthermore, in the advective-diffusive limit and for piecewise linear functional spaces, the method recovers the classical SUPG method.

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