Abstract
The performance of the univariant finite element Q1P0 and the multivariant finite elements QP0 and RP0 are compared for simulation of three-dimensional incompressible viscous flows. Incompressible flow vortices for the RP0 element are presented. For the two flows simulated, the RP0 element is found to be not only the most accurate but also computationally the most efficient of the three types of finite element used. For one of the two flows simulated, the pressure distribution obtained by using the Q1P0 element is found to be afflicted with the checker-board spurious pressure mode. For the uniform finite-element mesh used, the checker-board pressure mode is eliminated by taking a weighted average of the pressure over the neighbouring Q1P0 elements.
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