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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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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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01/14/2021
Enabling four-dimensional conformal hybrid meshing with cubic pyramids
The main purpose of this article is to develop a novel refinement strate...
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12/16/2020
Foundations of space-time finite element methods: polytopes, interpolation, and integration
The main purpose of this article is to facilitate the implementation of ...
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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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08/12/2020
On Fourier analysis of polynomial multigrid for arbitrary multi-stage cycles
The Fourier analysis of the p-multigrid acceleration technique is consid...
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12/14/2019
Parameter-Conditioned Sequential Generative Modeling of Fluid Flows
The computational cost associated with simulating fluid flows can make i...
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02/26/2019
Deep Variational Koopman Models: Inferring Koopman Observations for Uncertainty-Aware Dynamics Modeling and Control
Koopman theory asserts that a nonlinear dynamical system can be mapped t...
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12/01/2018
Recovering missing CFD data for high-order discretizations using deep neural networks and dynamics learning
Data I/O poses a significant bottleneck in large-scale CFD simulations; ...
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05/18/2018