Abstract
Abstract A method is developed for evaluating the 3-D Biot-Savart singular integral for the velocity field induced by arbitrarily high-order (discontinuous) vorticity in arbitrarily high-order curved hexahedral elements. The proposed method uses Duffy’s coordinate transformation and singularity removal strategy, which, through a set of transformations, accommodates accurate evaluation of the transformed volume integrals using standard adaptive cubature techniques. In this paper, the new method is formulated in detail, followed by a series of benchmark tests demonstrating the convergence properties of the singular volume integral as a function of the discretization order of the vorticity (source) field.
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.
