Application of Trefftz method to Fluid Flow Problem

The Trefftz method is widely used for solid mechanics applications since its mainstream introduction into the finite element approach approximately 40 years ago. The present investigation is to apply this technique to steady, imcompressible, non-turbulent, Newtonian fluid flow problems. We present a detailed process in developing F-Trefftz formulations for analyzing fluid flow problems. To verify the applicability and accuracy of the proposed models, three numerical examples are considered. The results obtained using both T-Trefftz and F-Trefftz methods are in high accuracy.