Journal ArticleDOI
Three-dimensional boundary conditions for direct and large-eddy simulation of compressible viscous flows
TLDR
This paper extends NSCBC to account for convection and pressure gradients in boundary planes, resulting in a 3D-NSCBC approach that brings a drastic reduction of flow distortion and numerical reflection, even in regions of strong transverse convection.About:
This article is published in Journal of Computational Physics.The article was published on 2008-05-01. It has received 263 citations till now. The article focuses on the topics: Different types of boundary conditions in fluid dynamics & Boundary value problem.read more
Citations
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Large Eddy Simulations of gaseous flames in gas turbine combustion chambers
TL;DR: In this article, two types of LES in complex geometry combustors and of specific interest for aeronautical gas turbine burners are reviewed: (1) laboratory-scale combustors, without compressor or turbine, in which advanced measurements are possible and (2) combustion chambers of existing engines operated in realistic operating conditions.
Journal ArticleDOI
Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier-Stokes equation
Abstract: We generalize the POD-based Galerkin method for post-transient flow data by incorporating Navier–Stokes equation constraints. In this method, the derived Galerkin expansion minimizes the residual like POD, but with the power balance equation for the resolved turbulent kinetic energy as an additional optimization constraint. Thus, the projection of the Navier–Stokes equation on to the expansion modes yields a Galerkin system that respects the power balance on the attractor. The resulting dynamical system requires no stabilizing eddy-viscosity term – contrary to other POD models of high-Reynolds-number flows. The proposed Galerkin method is illustrated with two test cases: two-dimensional flow inside a square lid-driven cavity and a two-dimensional mixing layer. Generalizations for more Navier–Stokes constraints, e.g. Reynolds equations, can be achieved in straightforward variation of the presented results.
Journal ArticleDOI
A Novel Model Order Reduction Approach for Navier-Stokes Equations at High Reynolds Number
TL;DR: In this article, a new approach to model order reduction of the Navier-Stokes equations at high Reynolds number is proposed, which does not rely on empirical turbulence modeling or modification of the NST equations.
Journal ArticleDOI
Identification strategies for model-based control
Laurent Cordier,Bernd R. Noack,Gilles Tissot,Guillaume Lehnasch,Joel Delville,Maciej Balajewicz,Guillaume Daviller,Robert K. Niven +7 more
TL;DR: In this paper, a hierarchy of reduced-order modeling (ROM) strategies for a wide class of flow configurations is studied and compared for a two-dimensional uncontrolled mixing layer, and different 4D-Var identification strategies are considered to improve the nonlinear eddy-viscosity model.
Journal ArticleDOI
Large-eddy simulation of supercritical fluid injection
TL;DR: In this article, the impact of subgrid models on mixing of liquid rocket combustion chamber is evaluated using a structured numerical code called SiTCom-B, which is used to solve Direct Numerical Simulations and Large Eddy Simulations equations.
References
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Book
Boundary layer theory
TL;DR: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part, denoted as turbulence as discussed by the authors, and the actual flow is very different from that of the Poiseuille flow.
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Efficient Implementation of Weighted ENO Schemes
Guang-Shan Jiang,Chi-Wang Shu +1 more
TL;DR: A new way of measuring the smoothness of a numerical solution is proposed, emulating the idea of minimizing the total variation of the approximation, which results in a fifth-order WENO scheme for the caser= 3, instead of the fourth-order with the original smoothness measurement by Liuet al.
Journal ArticleDOI
Boundary conditions for direct simulations of compressible viscous flows
TL;DR: In this article, a boundary condition formulation for the Navier-Stokes equations is proposed, which is compatible with non-disjoint algorithms applicable to direct simulations of turbulent flows.
Journal ArticleDOI
Subgrid-scale stress modelling based on the square of the velocity gradient tensor
Franck Nicoud,F. Ducros +1 more
TL;DR: In this paper, a subgrid scale model is proposed for large eddy simulations in complex geometries, which accounts for the effects of both the strain and the rotation rate of the smallest resolved turbulent fluctuations.