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

Domino, Stefan P.

doi:10.1016/j.jcp.2018.01.007

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

Journal Article · Fri Jan 12 00:00:00 EST 2018 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2018.01.007· OSTI ID:1465806

Domino, Stefan P. ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (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

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 359; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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