Author

Stefan R. Schnake

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Preprint Sep 2026

Adaptive Sparse-grid Discontinuous Galerkin Approximations the Bhatnagar--Gross--Krook Model

This work studies adaptive sparse-grid discontinuous Galerkin (DG) discretizations for the Bhatnagar--Gross--Krook (BGK) model, a kinetic equation posed in four- and six-dimensional phase-space. Standard DG methods are rendered impractical for the BGK model by the curse of dimensionality, motivating compressed represen...

Stefan R. Schnake, M. Stoyanov, E. Endeve et al. · 0 citations

Preprint Aug 2026

Sweep-based, implicit solutions of the multidimensional BGK equation on unstructured grids

We present a nodal discontinuous Galerkin method for solving the Bhatnagar-Gross-Krook (BGK) kinetic equation on multi-dimensional, unstructured grids. The method uses implicit, sweep-based solvers and a moment-preserving projection of the Maxwellian source to enable high-order accuracy in time while avoiding restricti...

T. Evans, Ryan S. Glasby, Cory D. Hauck et al. · 1 citation