Publication Type |
pre-print |
School or College |
<blank> |
Department |
Computing, School of |
Creator |
Pascucci, Valerio |
Other Author |
Bhatia, Harsh; Bremer, Peer-Timo |
Title |
The natural Helmholtz-Hodge decomposition for open-boundary flow analysis |
Date |
2014-01-01 |
Description |
The Helmholtz-Hodge decomposition (HHD), which describes a flow as the sum of an incompressible, an irrotational, and a harmonic flow, is a fundamental tool for simulation and analysis. Unfortunately, for bounded domains, the HHD is not uniquely defined, traditionally, boundary conditions are imposed to obtain a unique solution. However, in general, the boundary conditions used during the simulation may not be known known, or the simulation may use open boundary conditions. In these cases, the flow imposed by traditional boundary conditions may not be compatible with the given data, which leads to sometimes drastic artifacts and distortions in all three components, hence producing unphysical results. This paper proposes the natural HHD, which is defined by separating the flow into internal and external components. Using a completely data-driven approach, the proposed technique obtains uniqueness without assuming boundary conditions a priori. As a result, it enables a reliable and artifact-free analysis for flows with open boundaries or unknown boundary conditions. Furthermore, our approach computes the HHD on a point-wise basis in contrast to the existing global techniques, and thus supports computing inexpensive local approximations for any subset of the domain. Finally, the technique is easy to implement for a variety of spatial discretizations and interpolated fields in both two and three dimensions. |
Type |
Text |
Publisher |
Institute of Electrical and Electronics Engineers (IEEE) |
Volume |
20 |
Issue |
11 |
First Page |
1566 |
Last Page |
1578 |
Language |
eng |
Bibliographic Citation |
Bhatia, H., Pascucci, V., & Bremer, P.-T. (2014). The natural Helmholtz-Hodge decomposition for open-boundary flow analysis. IEEE Transactions on Visualization and Computer Graphics, 20(11), 1566-78. |
Rights Management |
(c) 2014 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. |
Format Medium |
application/pdf |
Format Extent |
1,232,524 bytes |
Identifier |
uspace,19013 |
ARK |
ark:/87278/s67w9n8h |
Setname |
ir_uspace |
ID |
712717 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s67w9n8h |