Year: 2025
Type: article
Abstract: Free-stream preservation is an essential property for numerical solvers on curvilinear grids. Key to this property is that the metric terms of the curvilinear mapping satisfy discrete metric identities, i.e., have zero divergence. Divergence-free metric terms are furthermore essential for entropy stability on curvilinear grids. We present a new way to compute the metric terms for discontinuous Galerkin spectral element methods (DGSEMs) that guarantees they are divergence-free. The proposed mimetic approach uses projections that fit within the de Rham Cohomology.
Source: Journal of Scientific Computing
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
Awards: WarmWorld - Verbundprojekt ICON-DG: Ausstattung des ICON-Modells mit intelligenteren Diskretisierungen - Teilprojekt 2: Effiziente ikosaedrische begrenzungserhaltende Split-Form DG, G1666685129, DIscovering Flow control in TRANSonic difFUsing paSsagEs, G3403773028, G5004774292, G5464405269, G5664809339, G686395881, G8243027913
OpenAlex ID: W4415144646