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02/26/2023
On the anti-aliasing properties of entropy filtering for under-resolved turbulent flows
For increasingly large Reynolds number flows, the computational cost of ...
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01/09/2023
Positivity-preserving entropy filtering for the ideal magnetohydrodynamics equations
In this work, we present a positivity-preserving adaptive filtering appr...
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11/02/2022
Multi-Agent Reinforcement Learning for Adaptive Mesh Refinement
Adaptive mesh refinement (AMR) is necessary for efficient finite element...
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10/27/2022
A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann–BGK equation
In this work, we present a positivity-preserving high-order flux reconst...
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01/25/2022
Positivity-Preserving Entropy-Based Adaptive Filtering for Discontinuous Spectral Element Methods
In this work, we present a positivity-preserving entropy-based adaptive ...
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10/07/2021
Utilizing Time-Reversibility for Shock Capturing in Nonlinear Hyperbolic Conservation Laws
In this work, we introduce a novel approach to formulating an artificial...
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07/10/2021
Bounds Preserving Temporal Integration Methods for Hyperbolic Conservation Laws
In this work, we present a modification of explicit Runge-Kutta temporal...
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03/01/2021
Reinforcement Learning for Adaptive Mesh Refinement
Large-scale finite element simulations of complex physical systems gover...
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11/01/2020
A Riemann Difference Scheme for Shock Capturing in Discontinuous Finite Element Methods
We present a novel structure-preserving numerical scheme for discontinuo...
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11/15/2019