22nd AIAA Computational Fluid Dynamics Conference 2015
DOI: 10.2514/6.2015-3046
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An Adaptive Explicit 3D Discontinuous Galerkin Solver for Unsteady Problems<br />

Abstract: A block-structured Cartesian discontinuous Galerkin solver is developed for and implemented into the open source SAMRAI structured adaptive mesh refinement framework. The focus of the work is optimizing the computational efficiency of the block solver for the adaptive mesh refinement framework. A collocation scheme is implemented in a Cartesian setting for maximal efficiency. The discontinuous Galerkin solver is demonstrated in the SAMRAI framework and tested using an isolated vortex and comparing to an exact … Show more

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Cited by 9 publications
(4 citation statements)
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“…W 2 A 2 KE3D utilizes a variable order DG FEM implemented in a dynamic adaptive mesh refinement (AMR) framework. In previous work, W 2 A 2 KE3D used an off-body solver known as SAMCartDG based on the open-source SAMRAI (Wissink et al) AMR package provided by Lawrence Livermore National Laboratory with the standalone DG solver CartDG (Kirby et al, 2015). SAMRAI is a patch-based AMR system.…”
Section: Off-body Flow Solvermentioning
confidence: 99%
See 1 more Smart Citation
“…W 2 A 2 KE3D utilizes a variable order DG FEM implemented in a dynamic adaptive mesh refinement (AMR) framework. In previous work, W 2 A 2 KE3D used an off-body solver known as SAMCartDG based on the open-source SAMRAI (Wissink et al) AMR package provided by Lawrence Livermore National Laboratory with the standalone DG solver CartDG (Kirby et al, 2015). SAMRAI is a patch-based AMR system.…”
Section: Off-body Flow Solvermentioning
confidence: 99%
“…Through this approach, the numerical complexity is reduced. The details of the algorithm are outlined in Kirby et al (2015) which follows the derivation in Diosady and Muman (2014) and Hindenlang et al (2012). The off-body solver dg4est has been demonstrated on various problems such as flow over the three-dimensional wing NACA0015 at moderate Reynolds number and on the Taylor-Green Vortex flow problem (Brazell et al, 2017).…”
Section: Off-body Flow Solvermentioning
confidence: 99%
“…The computational kernel within the DG4EST component, known as CartDG [23]- [25], is the primary focus of this work. CartDG is a discontinuous Galerkin method designed for computational efficiency on Cartesian meshes utilizing tensorproduct collocation-based basis functions.…”
Section: Cpu Implementationmentioning
confidence: 99%
“…The Computational Fluid Dynamics solver is known as CartDG [20]- [22] which is a Discontinuous Galerkin method that discretizes the compressible Navier-Stokes equations. CartDG has been used in the high-fidelity simulation of wind energy applications [23], [24] and in aerospace applications including rotorcraft wakes [25].…”
Section: B Computational Fluid Dynamicsmentioning
confidence: 99%