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11/05/2021
Bounds-Preserving Lax-Wendroff Discontinuous Galerkin Schemes for Quadrature-Based Moment-Closure Approximations of Kinetic Models
The quadrature-based method of moments (QMOM) offers a promising class o...
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07/11/2021
A projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes
We present a projection-based framework for solving a thermodynamically-...
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02/25/2021
Semi-implicit Hybrid Discrete (H^T_N) Approximation of Thermal Radiative Transfer
The thermal radiative transfer (TRT) equations form a system that descri...
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01/04/2021
Parallel Scaling of the Regionally-Implicit Discontinuous Galerkin Method with Quasi-Quadrature-Free Matrix Assembly
In this work we investigate the parallel scalability of the numerical me...
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09/13/2020
A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: Second-order, energy-stable numerical methods on adaptive octree based meshes
We present a fully-coupled, implicit-in-time framework for solving a the...
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12/28/2019