Boundary-conformal quadrature with closed-form azimuthal coefficients, tangency-based panel splitting, and square-root substitution restores spectral and fourth-order convergence in IITM for convex polyhedra.
SIAM Journal on Numerical Analysis19(6), 1260–1262 (1982)
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An h-adaptive FV subcell scheme with 2N+1 resolution and collapsed coordinates enables robust shock-capturing for DGSEM on heterogeneous curvilinear meshes containing mixed element types.
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Boundary-conformal integration for the invariant-imbedding T-matrix method: high-order convergence for faceted particles
Boundary-conformal quadrature with closed-form azimuthal coefficients, tangency-based panel splitting, and square-root substitution restores spectral and fourth-order convergence in IITM for convex polyhedra.
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h-Adaptive FV Subcell Shock-Capturing for DGSEM on Heterogeneous Curvilinear Meshes
An h-adaptive FV subcell scheme with 2N+1 resolution and collapsed coordinates enables robust shock-capturing for DGSEM on heterogeneous curvilinear meshes containing mixed element types.