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Conservation properties for the Galerkin and stabilised forms of the advection–diffusion and incompressible Navier–Stokes equations
2005
Computer Methods in Applied Mechanics and Engineering
A common criticism of continuous Galerkin finite element methods is their perceived lack of conservation. This may in fact be true for incompressible flows when advective, rather than conservative, weak forms are employed. However, advective forms are often preferred on grounds of accuracy despite violation of conservation. It is shown here that this deficiency can be easily remedied, and conservative procedures for advective forms can be developed from multiscale concepts. As a result,
doi:10.1016/j.cma.2004.06.034
fatcat:rtxeoghvoffjnfrpkzrbcsb2rm