ConferenceAIAA Scitech Forum and Exposition 2024 · January 1, 2024
This paper presents one of the first high-order simulations of inductively coupled plasma (ICP). First, a multi-domain solver using a variant of discontinuous Galerkin method, called the hybridized discontinuous Galerkin method, is developed. This multi-do ...
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ConferenceAIAA Aviation Forum and Ascend 2024 · January 1, 2024
The paper presents the application of a finite element numerical approach for predicting the development and locating the Laminar Separation Bubble (LSB) on low Reynolds airfoils. The method is a linearized and segregated variation of the Variational Multi ...
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ConferenceAIAA Scitech Forum and Exposition 2023 · January 1, 2023
We present a hybridized discontinuous Galerkin (HDG) solver for general time-dependent balance laws. We focus in particular on a coupling of the solution process for unsteady problems with an anisotropic mesh refinement framework. The goal is to properly r ...
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ConferenceAIAA Scitech Forum and Exposition 2023 · January 1, 2023
We present a discrete adjoint approach to aerodynamic shape optimization (ASO) based on a hybridized discontinuous Galerkin (HDG) discretization. Our implementation is designed to tie in as seamlessly as possible into a solver architecture written for gene ...
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ConferenceWorld Congress in Computational Mechanics and Eccomas Congress · January 1, 2021
In recent times, Petrov-Galerkin schemes with optimal test function framework have presented themselves as a stable and robust technique for solving partial differential equations. These schemes are also accompanied by an inbuilt error estimator, which mak ...
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ConferenceAIAA Aviation 2019 Forum · January 1, 2019
We have previously presented error models for finite-element methods (FEM), which can be used to drive metric-based anisotropic adaptation in a parameter free way. While numerical results were presented using primarily our in-house hybridized Discontinuous ...
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ConferenceAIAA Scitech 2019 Forum · January 1, 2019
We have previously proposed a metric-based anisotropic adaption method for tetrahedral grids. In the present paper, we extend our method to goal oriented adaptation. Target-based adaptation is realized using a suitable adjoint-based error estimate for thre ...
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ConferenceSpringer Proceedings in Mathematics and Statistics · January 1, 2018
In this work, we present a family of entropy stable discontinuous Galerkin methods for systems of convection–diffusion with nonlinear convective and viscous fluxes. The discretization presented here is based on a mixed formulation and is designed to preser ...
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Conference2018 Fluid Dynamics Conference · January 1, 2018
Building on previous research we presenl a three-dimensional formulation of a metric-based mesh optimization scheme. The intended application area is higher order (discontinuous) Galcrkin schemes for convectioii-dilfusion problems. Ultimately, as in our pr ...
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ConferenceAIAA Scitech Forum 55th AIAA Aerospace Sciences Meeting · January 1, 2017
In this paper, we present a family of entropy-stable discontinuous Galerkin methods for the compressible Navier-Stokes equations. The discretization presented here is based on a mixed formulation, and is designed to preserve the entropy stability of an alr ...
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Conference23rd AIAA Computational Fluid Dynamics Conference 2017 · January 1, 2017
In this paper we propose an adjoint-based mesh optimization method for conservation laws, which may be used with any numerical method based on piecewise polynomials. The method uses a continuous mesh framework, similar to that proposed in [19], where a glo ...
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Conference46th AIAA Fluid Dynamics Conference · January 1, 2016
In this paper we present a space-time computational framework for solution of nonlinear hyperbolic systems of conservation laws. The framework is based on a previously proposed space-time discontinuous Galerkin discretization, realized in terms of entropy ...
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Conference2016 AIAA Modeling and Simulation Technologies Conference · January 1, 2016
We present a method for anisotropic mesh adaptation and optimization for high-order Discontinuous Galerkin (DG) Schemes. Given the total number of degrees of freedom, we propose a metric-based method, which aims to globally optimize the mesh with respect t ...
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Conference53rd AIAA Aerospace Sciences Meeting · January 1, 2015
We present an anisotropic adjoint-based hp-adaptive hybridized discontinuous Galerkin method for turbulent compressible ow. We use the Reynolds-averaged Navier-Stokes equations complemented with the k-ω turbulence model. By means of hybridization, we can f ...
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Conference22nd AIAA Computational Fluid Dynamics Conference · January 1, 2015
We present a comprehensive overview of our computational framework for adaptive high-order finite element methods, including discontinuous Galerkin (DG) methods and their hybridized counterparts (HDG). Besides covering the numerical methods, we grant their ...
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Conference22nd AIAA Computational Fluid Dynamics Conference · January 1, 2015
We present an efficient adaptation methodology on anisotropic meshes for the recently developed hybridized discontinuous Galerkin scheme for (nonlinear) convection-diffusion problems, including compressible Euler and Navier-Stokes equations. The methodolog ...
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Conference44th AIAA Fluid Dynamics Conference · January 1, 2014
We present a hybridized discontinous Galerkin method for two-dimensional turbulent compressible flow. More precisely, we use the Reynolds-averaged Navier-Stokes equations complemented with the k-ω turbulence model devised by Wilcox [21] and modified by Bas ...
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Conference52nd Aerospace Sciences Meeting · January 1, 2014
We present a hybridized discontinuous Galerkin method for three-dimensional flow problems. As an implementation technique hybridization is a classic paradigm for dual-mixed finite element discretizations. Hybridization of finite element discretizations has ...
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Conference52nd AIAA Aerospace Sciences Meeting AIAA Science and Technology Forum and Exposition Scitech 2014 · January 1, 2014
We present a hybridized discontinuous Galerkin method for three-dimensional ow problems. As an implementation technique hybridization is a classic paradigm for dual-mixed finite element discretizations. Hybridization of finite element discretizations has t ...
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Conference21st AIAA Computational Fluid Dynamics Conference · January 1, 2013
We present a robust and effcient hp-adaptation methodology, building on a class of hybridized finite element schemes for (nonlinear) convection-diffusion problems, including compressible Euler and Navier-Stokes equations. Using a discrete-adjoint approach, ...
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Conference50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition · December 1, 2012
We present a novel discretization method for nonlinear convection-diffusion equations and, in particular, for the compressible Navier-Stokes equations. The method is based on a Discontinuous Galerkin (DG) discretization for convection terms, and a mixed me ...
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ConferenceAip Conference Proceedings · November 28, 2011
We present recent developments in solution methods for steady compressible flow simulation in conjunction with high-order spatial discretization methods. Lack of efficient solution methods has often been identified as a major deficiency of high-order techn ...
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ConferenceComputational Fluid Dynamics 2010 Proceedings of the 6th International Conference on Computational Fluid Dynamics Iccfd 2010 · January 1, 2011
Recently, it has been observed that the standard approximation to the dual solution in a scalar finite difference context can actually fail if the underlying forward solution is not smooth (Giles and Ulbrich, Convergence of linearised and adjoint approxima ...
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ConferenceComputational Fluid Dynamics 2010 Proceedings of the 6th International Conference on Computational Fluid Dynamics Iccfd 2010 · January 1, 2011
Adaptation methods based on multiresolution analysis using biorthogonal wavelets have been successfully used with Finite-Volume solvers for compressible fluid flow. The extension of the concept to higher-order Discontinuous Galerkin (DG) discretization may ...
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Conference40th AIAA Fluid Dynamics Conference · January 1, 2010
There does not exist a definite best strategy to advance high-order discretizations of inviscid compressible flows to steady state. The need for a wide range of possible time-relaxation strategies is determined by different possible difficulties: stability ...
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Conference47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition · December 1, 2009
Higher order discretizations have not been widely successful in industrial applications to compressible flow simulation. Among several reasons for this, one may identify the lack of tailor-suited, best-practice relaxation techniques that compare favorably ...
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Conference19th AIAA Computational Fluid Dynamics Conference · January 1, 2009
The formulation of strategies for high-order discretization methods for compressible flow simulations is now to a certain extent understood, whereas the development of techniques for efficiently solving the resulting discrete equations has generally been l ...
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ConferenceCollection of Technical Papers 44th AIAA Aerospace Sciences Meeting · January 1, 2006
This work focuses on the extension of the recently introduced Spectral Difference Method to viscous flow. The spectral difference method is a conservative pseudo-spectral scheme based on a local collocation on unstructured elements. Recently results for sc ...
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Conference43rd AIAA Aerospace Sciences Meeting and Exhibit Meeting Papers · December 1, 2005
This paper reports recent progress towards a new platform for computational aero-dynamics on arbitrary meshes, tentatively designated Flo3xx. This tool is designed for maximum flixibility to serve as both an industrial strength flow solver on general grids ...
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Conference43rd AIAA Aerospace Sciences Meeting and Exhibit Meeting Papers · December 1, 2005
The BGK method has been previously used to compute two-dimensional viscous flow and inviscid flow. In this paper we will build on the theoretical framework of the BGK method to develop a scheme for arbitrary meshes, as well as show two- and three-dimension ...
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Conference17th AIAA Computational Fluid Dynamics Conference · January 1, 2005
This work focuses on high-order numerical schemes for conservation laws with emphasis on problems that admit discontinuous solutions. We will investigate several enabling techniques with the aim to construct robust methods for unstructured meshes capable o ...
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Conference17th AIAA Computational Fluid Dynamics Conference · January 1, 2005
In this paper we build on the framework of the gas-kinetic BGK method with the aim to develop an industrial strength flow solver on arbitrary meshes. To that end we present a modified, more efficient formulation of the BGK scheme, to reduce the extreme cos ...
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ConferenceAIAA Paper · July 1, 2004
Out of a host of experimental aerodynamic data available for the DLR-F6 configuration a set of reference test cases has been chosen for the second AIAA drag prediction workshop. Participants of the workshop were invited to use state-of-the-art tools for co ...
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