A Limiting Approach for Three-Dimensional DG Discetizations in Arbitrary-Type Meshes

Kontzialis, Konstantinos; Panourgias, Kontsantinos; Ekaterinaris, John A.

doi:10.2514/6.2011-3837

Cited by 7 publications

(1 citation statement)

References 16 publications

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“…The proposed limiting approach is accurate, effective, and can be applied on distorted mixed-type meshes without readjusting parameters for a wide range of flow problems discussed in the results section. The extension of the proposed limiting approach for three dimensions is straightforward [90].…”

Section: Initial Conditions and Boundary Conditionsmentioning

confidence: 99%

High-order discontinuous Galerkin discretization for flows with strong moving shocks

Kontzialis¹,

Κοντζιάλης²

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Section: Initial Conditions and Boundary Conditionsmentioning

confidence: 99%

High-order discontinuous Galerkin discretization for flows with strong moving shocks

Kontzialis¹,

Κοντζιάλης²

Self Cite

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High‐resolution p‐adaptive DG simulations of flows with moving shocks

Panourgias

Papoutsakis

Ekaterinaris

2014

Numerical Methods in Fluids

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SUMMARYHigh‐order accurate DG discretization is employed for Reynolds‐averaged Navier–Stokes equations modeling of complex shock‐dominated, unsteady flow generated by gas issuing from a shock tube nozzle. The DG finite element discretization framework is used for both the flow field and turbulence transport. Turbulent flow in the near wall regions and the flow field is modeled by the Spalart–Allmaras one‐equation model. The effect of rotation on turbulence modeling for shock‐dominated supersonic flows is considered for accurate resolution of the large coherent and vortical structures that are of interest in high‐speed combustion and supersonic flows. Implicit time marching methodologies are used to enable large time steps by avoiding the severe time step limitations imposed by the higher order DG discretizations and the source terms. Sufficiently high mesh density is used to enable crisp capturing of discontinuities. A p − type refinement procedure is employed to accurately represent the vortical structures generated during the development of the flow. The computed solutions showed qualitative agreement with experiments. Copyright © 2014 John Wiley & Sons, Ltd.

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A fully implicit scheme for simulating ionized gas flows using the gas dynamics electrodynamics coupled system

Panourgias

Ekaterinaris

2014

Numerical Methods in Fluids

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SUMMARY The flow of ionized gases under the influence of electromagnetic fields is governed by the coupled system of the compressible flow equations and the Maxwell equations. In this system, coupling of the flow with the electromagnetic field is obtained through nonlinear and stiff source terms, which may cause difficulties with the numerical solution of the coupled system. The discontinuous Galerkin finite element method is used for the numerical solution of this system. For the magnetic field vector, discontinuous Galerkin discretization is performed using a divergence‐free vector base for the magnetic field to preserve zero divergence in the element and retain the implicit constraint of a divergence‐free magnetic field vector down to very low level both globally and locally. To circumvent difficulties resulting from the presence of the stiff source terms, implicit time marching is used for the fully coupled system to avoid wrong wave shapes and propagation speeds that are obtained when the coupling source terms are lagged in time or by using splitting iterative schemes. Numerical solutions for benchmark problems computed on collocated meshes for the flow and electromagnetic field variables with this fully coupled monolithic approach showed good agreement with other numerical solutions and exact results. Copyright © 2014 John Wiley & Sons, Ltd.

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A Limiting Approach for Three-Dimensional DG Discetizations in Arbitrary-Type Meshes

Cited by 7 publications

References 16 publications

High-order discontinuous Galerkin discretization for flows with strong moving shocks

High-order discontinuous Galerkin discretization for flows with strong moving shocks

High‐resolution p‐adaptive DG simulations of flows with moving shocks

A fully implicit scheme for simulating ionized gas flows using the gas dynamics electrodynamics coupled system

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