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DOE OSTI · 1870437

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

Knaus, Robert
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Abstract

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.

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42 ENGINEERINGcontrol volume finite elementhigh order methodslow-Mach flow

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Knaus, Robert. 2022-03-18. A fast matrix-free approach to the high-order control volume finite element method with application to low-Mach flow. https://doi.org/10.1016/j.compfluid.2022.105408

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