Stabilized finite element simulations for burgers'-type equations

Abstract

In this talk, we are dealing with the numerical solutions to Burgers' type partial differential equations at high Reynolds numbers. The governing equations become more convection-dominated as the Reynolds numbers increase, resulting in spurious oscillations in the solutions obtained by using standard numerical methods. The streamline-upwind/Petrov-Galerkin method is used to stabilize the standard Galerkin finite element formulation to overcome this challenge. Additionally, the stabilized formulation is supplemented with the YZβ shock-capturing to achieve better solution profiles around sharp gradients.