Economical Third-Order Methods for Accurate Surface Heating Predictions on Simplex Element Meshes. Thompson, K. B., Nishikawa, H., & Padway, E. In AIAA SCITECH 2023 Forum, 2023. AIAA Paper 2023-2629. doi abstract bibtex View Video Presentation: https://doi.org/10.2514/6.2023-2629.vidA node-centered, edge-based finite volume discretization of the compressible Navier-Stokes equations is presented with the heat flux reformulated as a first-order system. A dissipation vector is derived for the reformulated system, such that the heat flux can be upgraded to O(h\textasciicircum3) on simplex element meshes in the same fashion as the inviscid fluxes. The method of manufactured solutions is used to demonstrate this uniform order property in heat flux. This new system is shown to efficiently produce accurate surface heating predictions in hypersonic flow using an anisotropic simplex element mesh, achieving O(h\textasciicircum3) accuracy at relatively low computational cost compared to similar methods.
@inproceedings{thompson2023,
title = {Economical {Third}-{Order} {Methods} for {Accurate} {Surface} {Heating} {Predictions} on {Simplex} {Element} {Meshes}},
doi = {10.2514/6.2023-2629},
abstract = {View Video Presentation: https://doi.org/10.2514/6.2023-2629.vidA node-centered, edge-based finite volume discretization of the compressible Navier-Stokes equations is presented with the heat flux reformulated as a first-order system. A dissipation vector is derived for the reformulated system, such that the heat flux can be upgraded to O(h{\textasciicircum}3) on simplex element meshes in the same fashion as the inviscid fluxes. The method of manufactured solutions is used to demonstrate this uniform order property in heat flux. This new system is shown to efficiently produce accurate surface heating predictions in hypersonic flow using an anisotropic simplex element mesh, achieving O(h{\textasciicircum}3) accuracy at relatively low computational cost compared to similar methods.},
urldate = {2024-05-27},
booktitle = {{AIAA} {SCITECH} 2023 {Forum}},
publisher = {AIAA Paper 2023-2629},
author = {Thompson, Kyle B. and Nishikawa, Hiroaki and Padway, Emmett},
year = {2023},
}
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