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09/21/2023
A review of troubled cell indicators for discontinuous Galerkin method
In this paper, eight different troubled cell indicators (shock detectors...
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07/31/2023
An analytical solution for supersonic flow over a circular cylinder using an optimized shock shape
An analytical solution for high supersonic flow over a circular cylinder...
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01/11/2023
Study of Mach reflection in inviscid flows
In this paper, we study the Mach reflection phenomenon in inviscid flows...
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06/11/2021
A discontinuous Galerkin overset scheme using WENO reconstruction and subcells for two-dimensional problems
A new scheme for communication between overset grids using subcells and ...
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06/11/2021
A compact subcell WENO limiting strategy using immediate neighbors for Runge-Kutta discontinuous Galerkin methods for unstructured meshes
In this paper, we generalize the compact subcell weighted essentially no...
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11/10/2020
Fast and Accurate Proper Orthogonal Decomposition using Efficient Sampling and Iterative Techniques for Singular Value Decomposition
In this paper, we propose a computationally efficient iterative algorith...
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05/13/2020
Addressing the issue of mass conservation error and the connected problem of Carbuncle formation
We study mass conservation errors (momentum density spike) and the relat...
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03/03/2020
Shock capturing with discontinuous Galerkin Method using Overset grids for two-dimensional Euler equations
A new procedure to capture the shocks has been proposed and is demonstra...
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06/08/2019
Modified symmetry technique for mitigation of flow leak near corners for compressible inviscid fluid flow
Using the standard symmetry technique for applying boundary conditions f...
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05/13/2019
Fast Proper Orthogonal Decomposition Using Improved Sampling and Iterative Techniques for Singular Value Decomposition
Proper Orthogonal Decomposition (POD), also known as Principal component...
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04/25/2019
A compact subcell WENO limiting strategy using immediate neighbors for Runge-Kutta Discontinuous Galerkin Methods
A different WENO limiting strategy using immediate neighbors by dividing...
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10/08/2017