For the incompressible Navier Stokes equations, a new artificial diffusion factor is put forward in the Streamline Upwind/Petrov Galerkin formulation. The corresponding formulae of finite element methods are derived ...For the incompressible Navier Stokes equations, a new artificial diffusion factor is put forward in the Streamline Upwind/Petrov Galerkin formulation. The corresponding formulae of finite element methods are derived in Newton Raphson form, in which velocity and pressure are iterated synchronously. An element with nine nodes satisfying inf sup condition is established, which has a parabolic velocity interpolation and linear pressure distribution. Four numerical examples are presented, and solutions obtained demonstrate the effectivity of the method proposed.展开更多
文摘For the incompressible Navier Stokes equations, a new artificial diffusion factor is put forward in the Streamline Upwind/Petrov Galerkin formulation. The corresponding formulae of finite element methods are derived in Newton Raphson form, in which velocity and pressure are iterated synchronously. An element with nine nodes satisfying inf sup condition is established, which has a parabolic velocity interpolation and linear pressure distribution. Four numerical examples are presented, and solutions obtained demonstrate the effectivity of the method proposed.
