CaltechAUTHORS
  A Caltech Library Service

Accurate determination of surface normal stress in viscous flow from a consistent boundary flux method

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. http://resolver.caltech.edu/CaltechAUTHORS:20121218-083418584

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20121218-083418584

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/0031-9201(93)90078-N DOIUNSPECIFIED
http://www.sciencedirect.com/science/article/pii/003192019390078NPublisherUNSPECIFIED
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
Funders:
Funding AgencyGrant Number
David and Lucile Packard FoundationUNSPECIFIED
NSFEAR-8957164
NSFEAR-8904660
Record Number:CaltechAUTHORS:20121218-083418584
Persistent URL:http://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:23 Aug 2016 10:23

Repository Staff Only: item control page