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A new approach to turbulence simulation, based on a combination of large-eddy simulation (LES) for the whole flow and an array of non-space-filling quasi-direct numerical simulations (QDNS), which sample the response of near-wall turbulence…

Fluid Dynamics · Physics 2017-10-20 Neil D. Sandham , Roderick Johnstone , Christian T. Jacobs

This is the second part to our companion paper. The novel method to quantify artificial dissipation proposed in Part 1 is further applied in turbulent channel flow at $\mathrm{Re_\tau}=180$ using various subgrid-scale models, with an…

Fluid Dynamics · Physics 2025-03-03 Jing Sun , Roel Verstappen

We developed a parallel Bayesian optimization algorithm for large eddy simulations. These simulations challenge optimization methods because they take hours or days to compute, and their objective function contains noise as turbulent…

Fluid Dynamics · Physics 2014-11-04 Chaitanya Talnikar , Patrick Blonigan , Julien Bodart , Qiqi Wang

This article presents a formulation that extends the variational multiscale modelling for compressible large-eddy simulation to a vast family of compact nodal numerical methods represented by the high-order flux reconstruction scheme. The…

Computational Physics · Physics 2020-02-19 Farshad Navah , Marta de la Llave Plata , Vincent Couaillier

In the present work, we extend the Discontinuous Galerkin Spectral Element Method (DGSEM) to high-enthalpy reacting gas flows with internal degrees of freedom. An entropy- and kinetic energy-preserving flux function is proposed which allows…

Fluid Dynamics · Physics 2024-11-21 Georgii Oblapenko , Arseniy Tarnovskiy , Moritz Ertl , Manuel Torrilhon

In this article, we utilize machine learning to dynamically determine if a point on the computational grid requires implicit numerical dissipation for large eddy simulation (LES). The decision making process is learnt through \emph{a…

Fluid Dynamics · Physics 2019-02-07 Romit Maulik , Omer San , Jamey D Jacob

We propose a family of high-order local discontinuous Galerkin (LDG) methods, built on a parametric representation and coupled with a semi-implicit backward Euler time discretization, for isotropic and anisotropic curve-shortening flows.…

Numerical Analysis · Mathematics 2026-04-06 Xiuhui Guo , Wei Jiang , Chunmei Su

In recent years, deep learning methods, exemplified by Physics-Informed Neural Networks (PINNs), have been widely applied to the numerical solution of differential equations. However, these methods may suffer from limited accuracy, high…

Numerical Analysis · Mathematics 2026-03-17 Tao Tang , Jiang Yang , Yuxiang Zhao , Quanhui Zhu

The impact of anisotropic dynamic models for applications to LES of compressible flows is assessed in the framework of a numerical model based on high order discontinuous finite elements. The projections onto lower dimensional subspaces…

Numerical Analysis · Mathematics 2014-07-25 Antonella Abbà , Luca Bonaventura , Michele Nini , Marco Restelli

We present a one-equation subgrid scale model that evolves the turbulence energy corresponding to unresolved velocity fluctuations in large eddy simulations. The model is derived in the context of the Germano consistent decomposition of the…

Astrophysics · Physics 2009-11-11 W. Schmidt , J. C. Niemeyer , W. Hillebrandt

The discrete direct deconvolution model (D3M) is developed for the large-eddy simulation (LES) of turbulence. The D3M is a discrete approximation of previous direct deconvolution model studied by Chang et al. ["The effect of sub-filter…

Fluid Dynamics · Physics 2024-02-16 Ning Chang , Zelong Yuan , Yunpeng Wang , Jianchun Wang

Numerical simulations of atmospheric circulation models are limited by their finite spatial resolution, and so large eddy simulation (LES) is the preferred approach to study these models. In LES a low-pass filter is applied to the flow…

Fluid Dynamics · Physics 2016-04-27 Leila N. Azadani , Anne E. Staples

Numerical climate- and weather-prediction requires the fast solution of the equations of fluid dynamics. Discontinuous Galerkin (DG) discretisations have several advantageous properties. They can be used for arbitrary domains and support a…

Computational Physics · Physics 2020-10-13 Jack D. Betteridge , Thomas H. Gibson , Ivan G. Graham , Eike H. Müller

A novel variant of Improved Delayed Detached-Eddy Simulation based on a differential Reynolds-stress background model is presented. The approach aims to combine the advantages of anisotropy-resolving Reynolds-stress closures in the modelled…

Fluid Dynamics · Physics 2023-08-25 Marius Herr , Rolf Radespiel , Axel Probst

We present a variant of the immersed boundary method integrated with octree meshes for highly efficient and accurate Large-Eddy Simulations (LES) of flows around complex geometries. We demonstrate the scalability of the proposed method up…

We study the error scaling properties of large-eddy simulation (LES) in the outer region of wall-bounded turbulence at moderately high Reynolds numbers. In order to avoid the additional complexity of wall-modeling, we perform LES of…

Fluid Dynamics · Physics 2021-10-26 Adrián Lozano-Durán , Hyunji Jane Bae

We present a framework for Large Eddy Simulations (LES) with Immersed Boundaries (IBs) to simulate high Reynolds number flows over complex walls. In this approach, which we call Immersed Boundary-Modeled LES (IBMLES), we volume-filter the…

Fluid Dynamics · Physics 2025-11-03 Morrison Rickard , M. Houssem Kasbaoui

In large-eddy simulations, subgrid-scale (SGS) processes are parameterized as a function of filtered grid-scale variables. First-order, algebraic SGS models are based on the eddy-viscosity assumption, which does not always hold for…

One of the more promising recent approaches to turbulence modelling is the Variational Multiscale Large Eddy Simulation (VMS LES) method proposed by Hughes et al. [Comp. Visual. Sci., vol. 3, pp. 47-59, 2000]. This method avoids several…

Computational Physics · Physics 2007-05-23 Thor Gjesdal , Carl Erik Wasberg , Bjorn Anders Pettersson Reif , Oyvind Andreassen

This work presents GALAEXI as a novel, energy-efficient flow solver for the simulation of compressible flows on unstructured meshes leveraging the parallel computing power of modern Graphics Processing Units (GPUs). GALAEXI implements the…

Mathematical Software · Computer Science 2024-10-14 Daniel Kempf , Marius Kurz , Marcel Blind , Patrick Kopper , Philipp Offenhäuser , Anna Schwarz , Spencer Starr , Jens Keim , Andrea Beck
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