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03/01/2023
Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods
We extend the monolithic convex limiting (MCL) methodology to nodal disc...
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11/25/2022
A Flux-Differencing Formula for Split-Form Summation By Parts Discretizations of Non-Conservative Systems: Applications to Subcell Limiting for magneto-hydrodynamics
In this paper, we show that diagonal-norm summation by parts (SBP) discr...
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11/09/2022
Entropy-stable flux-differencing formulation with Gauss nodes for the DGSEM
In this work, we propose an extension of telescopic derivative operators...
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10/07/2022
Truncation Error-Based Anisotropic p-Adaptation for Unsteady Flows for High-Order Discontinuous Galerkin Methods
In this work, we extend the τ-estimation method to unsteady problems and...
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03/11/2022
Entropy-Stable Gauss Collocation Methods for Ideal Magneto-Hydrodynamics
In this paper, we present an entropy-stable Gauss collocation discontinu...
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02/01/2022
Subcell limiting strategies for discontinuous Galerkin spectral element methods
We present a general family of subcell limiting strategies to construct ...
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12/20/2021
Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws
Many modern discontinuous Galerkin (DG) methods for conservation laws ma...
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02/11/2021
A Subcell Finite Volume Positivity-Preserving Limiter for DGSEM Discretizations of the Euler Equations
In this paper, we present a positivity-preserving limiter for nodal Disc...
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12/22/2020
An Entropy Stable Nodal Discontinuous Galerkin Method for the resistive MHD Equations. Part II: Subcell Finite Volume Shock Capturing
The second paper of this series presents two robust entropy stable shock...
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06/21/2018