High Order Vortex Methods With Deforming Elliptical Gaussian Blobs 1: Derivation and Validation
| Author(s) | Rossi, Louis F. | |
| Date Accessioned | 2005-02-17T20:23:10Z | |
| Date Available | 2005-02-17T20:23:10Z | |
| Publication Date | 2001 | |
| Abstract | This manuscript introduces a new vortex method based on elliptical Gaussian basis functions. Each basis function translates, nutates, elongates and spreads through the action of the local flow field and fluid viscosity. By allowing elements to deform, the method captures the effects of local flow deviations with a fourth order spatial accuracy. This method uses a fourth order asymptotic approximation to the Biot-Savart integrals for elliptical Gaussian vorticity distributions to determine velocity and velocity derivatives. A robust adaptive refinement procedure reconfigures elements that spread beyond the specified resolution. The high order convergence rate is verified by comparing calculations with the vortex method to exact solutions in a variety of controlled experiments. | en |
| Sponsor | Portions of this work was supported by NSF grant DMS-9407660; other portions supported by NSF grant DMS-9971800. | en |
| Extent | 310496 bytes | |
| MIME type | application/pdf | |
| URL | http://udspace.udel.edu/handle/19716/344 | |
| Language | en_US | |
| Publisher | Department of Mathematical Sciences | en |
| Part of Series | Technical Report: 2001-04 | |
| Keywords | vortex methods | en |
| Keywords | vorticity dynamics | en |
| Keywords | computational fl uid dynamics | en |
| Keywords | convergence theory | en |
| dc.subject.classification | AMS: 35Q30, 41A25, 41A30, 65D99, 65M12, 65M50, 65M60, 76D05 | |
| Title | High Order Vortex Methods With Deforming Elliptical Gaussian Blobs 1: Derivation and Validation | en |
| Type | Technical Report | en |