Mathematics – Numerical Analysis
Scientific paper
2007-12-11
Mathematics
Numerical Analysis
Scientific paper
An arithmetically simple method has been developed for the evaluation of Biot--Savart integrals on tetrahedralized distributions of vorticity. In place of the usual approach of analytical formulae for the velocity induced by a linear distribution of vorticity on a tetrahedron, the integration is performed using Gaussian quadrature and a ray tracing technique from computer graphics. This eliminates completely the need for the evaluation of square roots, logarithms and arc tangents, and almost completely eliminates the requirement for trigonometric functions, with no operation more costly than a division required during the main calculation loop. An assessment of the algorithm's performance is presented, demonstrating its accuracy, second order convergence and near-linear speedup on parallel systems.
No associations
LandOfFree
Evaluation of Biot-Savart integrals on tetrahedral meshes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Evaluation of Biot-Savart integrals on tetrahedral meshes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Evaluation of Biot-Savart integrals on tetrahedral meshes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-474313