A data storage model for novel partial differential equation descretizations.
Abstract
The purpose of this report is to define a standard interface for storing and retrieving novel, nontraditional partial differential equation (PDE) discretizations. Although it focuses specifically on finite elements where state is associated with edges and faces of volumetric elements rather than nodes and the elements themselves (as implemented in ALEGRA), the proposed interface should be general enough to accommodate most discretizations, including hpadaptive finite elements and even mimetic techniques that define fields over arbitrary polyhedra. This report reviews the representation of edge and face elements as implemented by ALEGRA. It then specifies a convention for storing these elements in EXODUS files by extending the EXODUS API to include edge and face blocks in addition to element blocks. Finally, it presents several techniques for rendering edge and face elements using VTK and ParaView, including the use of VTK's generic dataset interface for interpolating values interior to edges and faces.
 Authors:
 Publication Date:
 Research Org.:
 Sandia National Laboratories
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 907817
 Report Number(s):
 SAND20070525
TRN: US200721%%485
 DOE Contract Number:
 AC0494AL85000
 Resource Type:
 Technical Report
 Country of Publication:
 United States
 Language:
 English
 Subject:
 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; PARTIAL DIFFERENTIAL EQUATIONS; INFORMATION SYSTEMS; INFORMATION RETRIEVAL; DATA BASE MANAGEMENT; Finite differencesMathematical models.; PARTIAL DIFFERENTIAL EQUATIONS SOLUTION; Differential equations, Partial.; Differential equationsNumerical solutionsComputer programs.
Citation Formats
Doyle, Wendy S.K., Thompson, David C., and Pebay, Philippe
Pierre. A data storage model for novel partial differential equation descretizations.. United States: N. p., 2007.
Web. doi:10.2172/907817.
Doyle, Wendy S.K., Thompson, David C., & Pebay, Philippe
Pierre. A data storage model for novel partial differential equation descretizations.. United States. doi:10.2172/907817.
Doyle, Wendy S.K., Thompson, David C., and Pebay, Philippe
Pierre. Sun .
"A data storage model for novel partial differential equation descretizations.". United States.
doi:10.2172/907817. https://www.osti.gov/servlets/purl/907817.
@article{osti_907817,
title = {A data storage model for novel partial differential equation descretizations.},
author = {Doyle, Wendy S.K. and Thompson, David C. and Pebay, Philippe
Pierre},
abstractNote = {The purpose of this report is to define a standard interface for storing and retrieving novel, nontraditional partial differential equation (PDE) discretizations. Although it focuses specifically on finite elements where state is associated with edges and faces of volumetric elements rather than nodes and the elements themselves (as implemented in ALEGRA), the proposed interface should be general enough to accommodate most discretizations, including hpadaptive finite elements and even mimetic techniques that define fields over arbitrary polyhedra. This report reviews the representation of edge and face elements as implemented by ALEGRA. It then specifies a convention for storing these elements in EXODUS files by extending the EXODUS API to include edge and face blocks in addition to element blocks. Finally, it presents several techniques for rendering edge and face elements using VTK and ParaView, including the use of VTK's generic dataset interface for interpolating values interior to edges and faces.},
doi = {10.2172/907817},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Apr 01 00:00:00 EDT 2007},
month = {Sun Apr 01 00:00:00 EDT 2007}
}

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