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Title: Design-order, non-conformal low-Mach fluid algorithms using a hybrid CVFEM/DG approach

Journal Article · · Journal of Computational Physics
 [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
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Here, a hybrid, design-order sliding mesh algorithm, which uses a control volume finite element method (CVFEM), in conjunction with a discontinuous Galerkin (DG) approach at non-conformal interfaces, is outlined in the context of a low-Mach fluid dynamics equation set. This novel hybrid DG approach is also demonstrated to be compatible with a classic edge-based vertex centered (EBVC) scheme. For the CVFEM, element polynomial, P, promotion is used to extend the low-order P = 1 CVFEM method to higher-order, i.e., P = 2. An equal-order low-Mach pressure-stabilized methodology, with emphasis on the non-conformal interface boundary condition, is presented. A fully implicit matrix solver approach that accounts for the full stencil connectivity across the non-conformal 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 mixed-order non-conformal interfaces. Results from all verification studies demonstrate either second- or third-order spatial accuracy and, for transient solutions, second-order temporal accuracy.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1465806
Report Number(s):
SAND-2017-10354J; 666503; TRN: US1902560
Journal Information:
Journal of Computational Physics, Vol. 359, Issue C; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

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Cited By (1)

Low synchronization GMRES algorithms preprint January 2018

Figures / Tables (19)

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Table 2(p. 36)table Table 2

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Control volume finite element
Discontinuous Galerkin
Higher-order
Sliding mesh
Non-conformal