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07/28/2023
Unsupervised machine learning shock capturing for High-Order CFD solvers
We present a novel unsupervised machine learning shock capturing algorit...
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12/19/2022
A modified equation analysis for immersed boundary methods based on volume penalization: applications to linear advection-diffusion and high-order discontinuous Galerkin scheme
The Immersed Boundary Method (IBM) is a popular numerical approach to im...
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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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09/14/2021
An entropy stable spectral vanishing viscosity for discontinuous Galerkin schemes: application to shock capturing and LES models
We present a stable spectral vanishing viscosity for discontinuous Galer...
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12/14/2020
High–order discontinuous Galerkin approximation for a three–phase incompressible Navier–Stokes/Cahn–Hilliard model
In this work we introduce the development of a three–phase incompressibl...
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10/24/2019
Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system
We develop an entropy stable two-phase incompressible Navier–Stokes/Cahn...
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07/12/2019
Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes equations with variable density and artificial compres
We present a provably stable discontinuous Galerkin spectral element met...
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07/12/2019
Entropy-stable discontinuous Galerkin approximation with summation-by-parts for the incompressible Navier-Stokes equations with variable density and artificial compressibility
We present a provably stable discontinuous Galerkin spectral element met...
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06/21/2018