Designorder, nonconformal lowMach fluid algorithms using a hybrid CVFEM/DG approach
Abstract
Here, a hybrid, designorder sliding mesh algorithm, which uses a control volume finite element method (CVFEM), in conjunction with a discontinuous Galerkin (DG) approach at nonconformal interfaces, is outlined in the context of a lowMach fluid dynamics equation set. This novel hybrid DG approach is also demonstrated to be compatible with a classic edgebased vertex centered (EBVC) scheme. For the CVFEM, element polynomial, P, promotion is used to extend the loworder P = 1 CVFEM method to higherorder, i.e., P = 2. An equalorder lowMach pressurestabilized methodology, with emphasis on the nonconformal interface boundary condition, is presented. A fully implicit matrix solver approach that accounts for the full stencil connectivity across the nonconformal interface is employed. A complete suite of formal verification studies using the method of manufactured solutions (MMS) is performed to verify the order of accuracy of the underlying methodology. The chosen suite of analytical verification cases range from a simple steady diffusion system to a traveling viscous vortex across mixedorder nonconformal interfaces. Results from all verification studies demonstrate either second or thirdorder spatial accuracy and, for transient solutions, secondorder temporal accuracy.
 Authors:

 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Publication Date:
 Research Org.:
 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1465806
 Report Number(s):
 SAND201710354J
Journal ID: ISSN 00219991; 666503; TRN: US1902560
 Grant/Contract Number:
 AC0494AL85000
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Computational Physics
 Additional Journal Information:
 Journal Volume: 359; Journal Issue: C; Journal ID: ISSN 00219991
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Control volume finite element; Discontinuous Galerkin; Higherorder; Sliding mesh; Nonconformal
Citation Formats
Domino, Stefan P. Designorder, nonconformal lowMach fluid algorithms using a hybrid CVFEM/DG approach. United States: N. p., 2018.
Web. doi:10.1016/j.jcp.2018.01.007.
Domino, Stefan P. Designorder, nonconformal lowMach fluid algorithms using a hybrid CVFEM/DG approach. United States. doi:10.1016/j.jcp.2018.01.007.
Domino, Stefan P. Fri .
"Designorder, nonconformal lowMach fluid algorithms using a hybrid CVFEM/DG approach". United States. doi:10.1016/j.jcp.2018.01.007. https://www.osti.gov/servlets/purl/1465806.
@article{osti_1465806,
title = {Designorder, nonconformal lowMach fluid algorithms using a hybrid CVFEM/DG approach},
author = {Domino, Stefan P.},
abstractNote = {Here, a hybrid, designorder sliding mesh algorithm, which uses a control volume finite element method (CVFEM), in conjunction with a discontinuous Galerkin (DG) approach at nonconformal interfaces, is outlined in the context of a lowMach fluid dynamics equation set. This novel hybrid DG approach is also demonstrated to be compatible with a classic edgebased vertex centered (EBVC) scheme. For the CVFEM, element polynomial, P, promotion is used to extend the loworder P = 1 CVFEM method to higherorder, i.e., P = 2. An equalorder lowMach pressurestabilized methodology, with emphasis on the nonconformal interface boundary condition, is presented. A fully implicit matrix solver approach that accounts for the full stencil connectivity across the nonconformal interface is employed. A complete suite of formal verification studies using the method of manufactured solutions (MMS) is performed to verify the order of accuracy of the underlying methodology. The chosen suite of analytical verification cases range from a simple steady diffusion system to a traveling viscous vortex across mixedorder nonconformal interfaces. Results from all verification studies demonstrate either second or thirdorder spatial accuracy and, for transient solutions, secondorder temporal accuracy.},
doi = {10.1016/j.jcp.2018.01.007},
journal = {Journal of Computational Physics},
number = C,
volume = 359,
place = {United States},
year = {2018},
month = {1}
}
Web of Science
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