An experimental investigation of the use of isoparametric and rational basis elements in a fluid flow problem

Abstract

AbstractThree competing finite element techniques are applied to a simple flow problem in a region with curved boundaries. Only three‐sided elements are considered. The techniques are (1) straight‐sided elements, (2) isoparametric elements, both of which use polynomial bases, and (3) curved elements using rational basis functions. The broad conclusions are that both curved‐edge techniques are much superior to their straight‐sided equivalent and that rational basis functions are quite successful in practice but require slightly more effort to implement, and cost a little more in computer time. From the point of view of efficiency, isoparametric elements seem to be the best choice.