Zhong, Shijie and Gurnis, Michael and Hulbert, Gregory (1993) Accurate determination of surface normal stress in viscous flow from a consistent boundary flux method. Physics of the Earth and Planetary Interiors, 78 (1-2). pp. 1-8. ISSN 0031-9201. doi:10.1016/0031-9201(93)90078-N. https://resolver.caltech.edu/CaltechAUTHORS:20121218-083418584
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Abstract
Accurate determination of surface normal stresses from numerical modeling of mantle convection is crucial in determining surface topography, geoid and gravity anomalies. With the finite element method, we have developed a consistent boundary flux (CBF) method for computing the surface stress by solving the momentum equation directly. The method has a much higher accuracy for determining surface stresses than the standard pressure smoothing method, and for typical convection problems, the CBF is about one order of magnitude more accurate than pressure smoothing. The CBF can be easily applied to a variety of types of elements and to compute a range of physical quantities including heat flow on boundaries. CBF, moreover, is a post-processing operation and is computationally inexpensive.
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| Additional Information: | © 1993 Elsevier Science Publishers B.V. Received 8 October 1992; revision accepted 27 January 1993. We thank Dr. Scott King for his reviews and his suggestion that we should study Case 1. Computations were done on the Cray YMP at the Pittsburgh Supercomputer Center. This work was funded by the David and Lucile Packard Foundation and NSF grants EAR-8957164 and EAR-8904660. | |||||||||
| Group: | Seismological Laboratory | |||||||||
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| Issue or Number: | 1-2 | |||||||||
| DOI: | 10.1016/0031-9201(93)90078-N | |||||||||
| Record Number: | CaltechAUTHORS:20121218-083418584 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20121218-083418584 | |||||||||
| Official Citation: | Shijie Zhong, Michael Gurnis, Gregory Hulbert, Accurate determination of surface normal stress in viscous flow from a consistent boundary flux method, Physics of the Earth and Planetary Interiors, Volume 78, Issues 1–2, June 1993, Pages 1-8, ISSN 0031-9201, 10.1016/0031-9201(93)90078-N. | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 36022 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 18 Dec 2012 16:56 | |||||||||
| Last Modified: | 09 Nov 2021 23:19 |
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