A fast matrix-free approach to the high-order control volume finite element method with application to low-Mach flow

Knaus, Robert

doi:10.1016/j.compfluid.2022.105408

A fast matrix-free approach to the high-order control volume finite element method with application to low-Mach flow

Journal Article · Fri Mar 18 00:00:00 EDT 2022 · Computers and Fluids

DOI:https://doi.org/10.1016/j.compfluid.2022.105408· OSTI ID:1870437

Knaus, Robert ^[1]

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

Here, a fast matrix-free formulation of the control volume finite element method is presented, requiring much less memory and computational work than previous efforts. The method is implemented and evaluated as a solver for low-Mach flow, including the evaluation of a preconditioning strategy for the pressure Poisson equation. The efficiency and scaling with polynomial order is evaluated on simple turbulent flows of interest, with appropriate solution quality metrics, and compared with a reference node-centered finite volume discretization. For a turbulent channel flow test, we show improvement in computational work for a given accuracy with the high-order scheme. The performance on a GPU accelerated platform is also investigated, with benefit shown for the matrix-free discretization.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 1870437

Report Number(s):: SAND2022-3366J; 704316

Journal Information:: Computers and Fluids, Journal Name: Computers and Fluids Vol. 239; ISSN 0045-7930

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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control volume finite element
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A fast matrix-free approach to the high-order control volume finite element method with application to low-Mach flow

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