From the 1 of 5 linked papers with an AI index.
5 papers
Invariant-domain-preserving limiting with Adaptive Mesh Refinement for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods
Benjamin Bolm, Andrés M. Rueda-RamÃrez, Dmitri Kuzmin +1
The paper introduces an invariant‑domain‑preserving limiting technique for high‑order Legendre‑Gauss‑Lobatto discontinuous Galerkin spectral element methods with adaptive mesh refi…
SBP-FDEC: Summation-by-Parts Finite Difference Exterior Calculus
Daniel Bach, Andrés M. Rueda-RamÃrez, Eric Sonnendrücker +2
We demonstrate that we can carry over the strategy of Finite Element Exterior Calculus (FEEC) to Summation-by-Parts (SBP) Finite Difference (FD) methods to achieve divergence- and…
Well-Balanced Subcell Limiting for Discontinuous Galerkin Discretizations of the Shallow-Water Equations
Andrés M. Rueda-RamÃrez, Patrick Ersing, Andrew R. Winters +1
High-order discontinuous Galerkin (DG) methods equipped with subcell finite-volume (FV) limiters provide an efficient framework for the simulation of nonlinear hyperbolic balance l…
Entropy-Stable Discontinuous Spectral-Element Methods for the Spherical Shallow Water Equations in Covariant Form
Tristan Montoya, Andrés M. Rueda-RamÃrez, Gregor J. Gassner
We introduce discontinuous spectral-element methods of arbitrary order that are well balanced, conservative of mass, and conservative or dissipative of total energy (i.e., a mathem…
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper +3
We use the framework of upwind summation-by-parts (SBP) operators developed by Mattsson (2017, doi:10.1016/j.jcp.2017.01.042) and study different flux vector splittings in this con…