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20202026
most citedSubcell limiting strategies for discontinuous Galerkin spectral element methods

55 citations · 112 across the 10 of their papers we have counts for

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5 papers · 1 filter

math.NA2022

A Flux-Differencing Formula for Split-Form Summation By Parts Discretizations of Non-Conservative Systems: Applications to Subcell Limiting for magneto-hydrodynamics

Andrés M Rueda-Ramírez, Gregor J Gassner

In this paper, we show that diagonal-norm summation by parts (SBP) discretizations of general non-conservative systems of hyperbolic balance laws can be rewritten as a finite-volum…

math.NA2022★ 8 cited

A flux-differencing formulation with Gauss nodes

Andrés Mateo-Gabín, Andrés M. Rueda-Ramírez, Eusebio Valero +1

In this work, we propose an extension of telescopic derivative operators for the DGSEM with Gauss nodes, and we prove that this formulation is equivalent to its usual matrix counte…

math.NA2022★ 3 cited

Truncation Error-Based Anisotropic -Adaptation for Unsteady Flows for High-Order Discontinuous Galerkin Methods

Andrés M. Rueda-Ramírez, Gerasimos Ntoukas, Gonzalo Rubio +2

In this work, we extend the -estimation method to unsteady problems and use it to adapt the polynomial degree for high-order discontinuous Galerkin simulations of unsteady flows…

math.NA2022★ 13 cited

Entropy-Stable Gauss Collocation Methods for Ideal Magneto-Hydrodynamics

Andrés M Rueda-Ramírez, Florian J Hindenlang, Jesse Chan +1

In this paper, we present an entropy-stable Gauss collocation discontinuous Galerkin (DG) method on 3D curvilinear meshes for the GLM-MHD equations: the single-fluid magneto-hydrod…

math.NA2022★ 55 cited

Subcell limiting strategies for discontinuous Galerkin spectral element methods

Andrés M. Rueda-Ramírez, Will Pazner, Gregor J. Gassner

We present a general family of subcell limiting strategies to construct robust high-order accurate nodal discontinuous Galerkin (DG) schemes. The main strategy is to construct comp…