Abstract
ABSTRACTThis paper develops a new tri-quadratic non-inverted skew upwind scheme (NISUS) for additional refinement of nodal integration points in numerical advection–diffusion of scalar transport. Using a control-volume-based finite element method, the performance of the eight-noded hexahedral formulation is compared with tri-quadratic hexahedral elements (27-noded hexahedral). As an extension of the NISUS formulation developed with eight-noded hexahedral elements, the new 27-noded hexahedral version uses isoparametric shape functions and integration point interpolation. The proposed method is applied to three cases of advection–diffusion of heat transfer and energy transport, including radial heat flow in a rotating hollow sphere, advection–diffusion in a cubical cavity, and combined advection/diffusion in an inlet/outlet tank. Performance improvement of the two versions of NISUS in terms of speed, accuracy, and stability are presented as a comparative assessment for the design of energy conversion systems.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
