Integraçao reduzida para problemas advectivos-difusivos escalares discretizados pela formulaçao SUPG com operador de captura de descontinuidades

Abstract

This worlk presents a technique to control thee spurious oscillations that may appear when the integrals arising from the discretization of scalar steady-state advective-diffusive problems by the SUPG formulation with discontinuity-capturing are evaluated usiilg one-point Gaussian quadrature. Tlie correction terms are clerived froin a Hu-Wasl-iizu variational formulation. Severa1 numerical esamples a.re slzown, validating the proposed technique