Adaptive numerical dissipation control for high-order k-exact reconstruction schemes on vertex-centered unstructured grids using artificial neural networks

被引:2
作者
Setzwein, Florian [1 ]
Ess, Peter [1 ]
Gerlinger, Peter [1 ]
机构
[1] Inst Combust Technol, German Aerosp Ctr DLR, D-70569 Stuttgart, Germany
关键词
High -order accuracy; Unstructured grids; Finite-volume method; Von Neumann stability analysis; Artificial neural networks; Adaptive numerical dissipation; LARGE-EDDY SIMULATION; FINITE-DIFFERENCE SCHEMES; VOLUME SCHEME; DIFFUSION; FLOW; FORMULATIONS; TURBULENCE; ACCURATE; NUMBER; LES;
D O I
10.1016/j.jcp.2022.111633
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Due to their enhanced numerical dissipation properties, high-order discretization methods are an important prerequisite to obtain accurate results with Large-Eddy Simulations. However, the exact amount of dissipation often requires a careful tuning by the user via problem-dependent parameters. In this work we present a fully adaptive dissipation control, which ensures stability and additionally reduces the numerical dissipation to a minimum. This novel approach employs a simple feedforward neural network model, which indirectly tabulates an underlying stability equation and thus reduces the computational overhead to estimate the dissipation during runtime. The methodology is adapted for a high-order k-exact reconstruction method on fully unstructured vertex -centered grids, and it is implemented in a full production flow solver. Based on several test cases, the enhanced accuracy compared to a conventional low-order scheme is demonstrated. Especially when dealing with Large-Eddy Simulation benchmarks, significant savings in computation time and grid resolution requirements can be obtained for reaching a desired level of accuracy. Moreover, compared to a high-order reconstruction method with constant numerical dissipation, the presented adaptive approach consistently yields accurate results, regardless of the flow problem.(c) 2022 Elsevier Inc. All rights reserved.
引用
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页数:32
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