On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence
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TLDR
Estimates of spectral resolution power for under-resolved turbulent Euler flows obtained with high-order discontinuous Galerkin (DG) methods are presented and are regarded as useful guidelines for no-model DG-based simulations of free turbulence at very high Reynolds numbers.About:
This article is published in Journal of Computational Physics.The article was published on 2017-02-01 and is currently open access. It has received 137 citations till now. The article focuses on the topics: Discontinuous Galerkin method & Inviscid flow.read more
Citations
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Journal ArticleDOI
A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations
Andrew R. Winters,R. C. Moura,R. C. Moura,Gianmarco Mengaldo,Gregor J. Gassner,Stefanie Walch,Joaquim Peiró,Spencer J. Sherwin +7 more
TL;DR: This work considers the inviscid Taylor-Green vortex flow to analyse the implicit large eddy simulation capabilities of DG methods at very high Reynolds numbers and compares the accuracy and robustness of consistent/over-integration and split form discretisations based on the local Lax-Friedrichs and Roe-type Riemann solvers.
Journal ArticleDOI
On the use of kinetic energy preserving DG-schemes for large eddy simulation
David Flad,Gregor J. Gassner +1 more
TL;DR: This paper starts with a common no-model or implicit LES (iLES) DG approach with polynomial de-aliasing and Riemann solver dissipation, and finds that the strategy gives excellent results, but only when the resolution is such, that about 40% of the dissipation is resolved.
Journal ArticleDOI
Nektar++: Enhancing the capability and application of high-fidelity spectral/hp element methods
David Moxey,Chris D. Cantwell,Yan Bao,Andrea Cassinelli,Giacomo Castiglioni,Sehun Chun,Emilia Juda,Ehsan Kazemi,Kilian Lackhove,Julian Marcon,Gianmarco Mengaldo,Douglas Serson,Michael Turner,Hui Xu,Hui Xu,Joaquim Peiró,Robert M. Kirby,Spencer J. Sherwin +17 more
TL;DR: Nektar++ as mentioned in this paper is an open-source framework that provides a flexible, highperformance and scalable platform for the development of solvers for partial differential equations using the high-order spectral/h p element method.
Journal ArticleDOI
Spectral/hp element methods: recent developments, applications, and perspectives
Hui Xu,Chris D. Cantwell,Carlos Monteserin,Claes Eskilsson,Allan Peter Engsig-Karup,Spencer J. Sherwin +5 more
TL;DR: The spectral/hp element method as mentioned in this paper combines the geometric flexibility of the classical h-type finite element technique with the desirable numerical properties of spectral methods, employing high-degree piecewise polynomial basis functions on coarse finite element-type meshes.
Journal ArticleDOI
FLEXI: A high order discontinuous Galerkin framework for hyperbolic–parabolic conservation laws
Nico Krais,Andrea Beck,Thomas Bolemann,Hannes Frank,David Flad,Gregor J. Gassner,Florian Hindenlang,Malte Hoffmann,Thomas Kuhn,Matthias Sonntag,Claus-Dieter Munz +10 more
TL;DR: The FLEXI framework is presented, a HO consistent, open-source simulation tool chain for solving the compressible Navier-Stokes equations in a high performance computing setting.
References
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Book
Riemann Solvers and Numerical Methods for Fluid Dynamics
TL;DR: In this article, the authors present references and index Reference Record created on 2004-09-07, modified on 2016-08-08 and a reference record created on 2003-09 -07.
Book
High resolution schemes for hyperbolic conservation laws
TL;DR: In this article, a class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws is presented, which are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function.
Book
Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction
TL;DR: In this article, the generalized Riemann problem is used to solve the Euler Equation problem and the ADER approach is used for non-linear systems with finite forces in multiple dimensions.
Book
Turbulence: The Legacy of A. N. Kolmogorov
TL;DR: In this article, the authors present a modern account of turbulence, one of the greatest challenges in physics, put into historical perspective five centuries after the first studies of Leonardo and half a century after the attempt by A. N. Kolmogorov to predict the properties of flow at very high Reynolds numbers.
Journal ArticleDOI
On coherent-vortex identification in turbulence
Yves Dubief,Franck Delcayre +1 more
TL;DR: In this paper, it was shown that the pressure Laplacian is positive within a low-pressure tube of small cross section enclosed by convex isobaric surfaces in a uniform density flow.
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