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This paper introduces a high order numerical framework for efficient and robust simulation of compressible flows. To address the inefficiencies of standard hybridized discontinuous Galerkin (HDG) methods in large scale settings, we develop…

计算工程、金融与科学 · 计算机科学 2025-07-31 Vahid Badrkhani , Marco F. P. ten Eikelder , Dominik Schillinger

We present a novel approach to the simulation of miscible displacement by employing adaptive enriched Galerkin finite element methods (EG) coupled with entropy residual stabilization for transport. In particular, numerical simulations of…

数值分析 · 数学 2017-01-04 Sanghyun Lee , Mary F. Wheeler

A new computational methodology, termed "PeleLM-FDF" is developed and utilized for high fidelity large eddy simulation (LES) of complex turbulent combustion systems. This methodology is constructed via a hybrid scheme combining the Eulerian…

流体动力学 · 物理学 2023-01-11 Aidyn Aitzhan , Shervin Sammak , Peyman Givi , Arash G. Nouri

We describe and compare two time-periodic flows embedded in Large Eddy Simulation (LES) of turbulence in a three-dimensional, periodic domain subject to constant external forcing. One of these flows models the regeneration of large-scale…

流体动力学 · 物理学 2019-02-20 Lennaert van Veen , Alberto Vela Martin , Genta Kawahara , Tatsuya Yasuda

Symmetries are fundamental to both turbulence and differential equations. The large-eddy simulation (LES) equations inherit these symmetries provided the LES closure respects them. Classical LES closures based on eddy viscosity or scale…

数值分析 · 数学 2026-03-06 Syver Døving Agdestein , Benjamin Sanderse

The roots of Discontinuous Galerkin (DG) methods is usually attributed to Reed and Hills in a paper published in 1973 on the numerical approximation of the neutron transport equation [18]. In fact, the adventure really started with a rather…

数值分析 · 数学 2016-02-16 Adam Larat

We present a novel discontinuous Galerkin finite element method for numerical simulations of the rotating thermal shallow water equations in complex geometries using curvilinear meshes, with arbitrary accuracy. We derive an entropy…

数值分析 · 数学 2024-01-19 Kieran Ricardo , Kenneth Duru , David Lee

We present a scalable, high-order implicit large-eddy simulation (ILES) approach for incompressible transitional flows. This method employs the mass-conserving mixed stress (MCS) method for discretizing the Navier-Stokes equations. The MCS…

计算工程、金融与科学 · 计算机科学 2024-08-14 Philip L. Lederer , Xaver Mooslechner , Joachim Schöberl

We extend the approach of wall modeling via function enrichment to detached-eddy simulation. The wall model aims at using coarse cells in the near-wall region by modeling the velocity profile in the viscous sublayer and log-layer. However,…

流体动力学 · 物理学 2018-08-28 Benjamin Krank , Martin Kronbichler , Wolfgang A. Wall

We propose a new arbitrary high order accurate semi-implicit space-time discontinuous Galerkin (DG) method for the solution of the two and three dimensional compressible Euler and Navier-Stokes equations on staggered unstructured curved…

数值分析 · 数学 2017-05-24 Maurizio Tavelli , Michael Dumbser

In the present work, large-eddy simulations of free supersonic jet flows are performed to investigate the influence of inflow conditions on the jet flow field and its turbulent properties. A high-order nodal discontinuous Galerkin method is…

流体动力学 · 物理学 2026-02-11 Diego F. Abreu , Joao Luiz F. Azevedo , Carlos Junqueira-Junior

Discontinuous Galerkin (DG) methods for hyperbolic partial differential equations (PDEs) with explicit time-stepping schemes, such as strong stability-preserving Runge-Kutta (SSP-RK), suffer from time-step restrictions that are…

数值分析 · 数学 2019-03-11 Pierson T. Guthrey , James A. Rossmanith

In large-eddy simulations (LES) a computational-domain translation velocity can be used to improve performance by allowing longer time-step intervals. The continuous equations are Galilean invariant, however, standard…

大气与海洋物理 · 物理学 2021-02-03 Oumaima Lamaakel , Georgios Matheou

High order methods based on diagonal-norm summation by parts operators can be shown to satisfy a discrete conservation or dissipation of entropy for nonlinear systems of hyperbolic PDEs. These methods can also be interpreted as nodal…

数值分析 · 数学 2020-06-24 Jesse Chan

The LES/PDF methodology is applied to the Cambridge/Sandia turbulent stratified flame series under swirling conditions. The methane/air chemistry is represented by a 16-species reduced ARM1 mechanism, and the in situ adaptive tabulation…

流体动力学 · 物理学 2020-12-04 Hasret Turkeri , Xinyu Zhao , Metin Muradgolu

We investigate a hierarchy of eddy-viscosity terms in POD Galerkin models to account for a large fraction of unresolved fluctuation energy. These Galerkin methods are applied to Large Eddy Simulation data for a flow around the vehicle-like…

流体动力学 · 物理学 2015-06-17 Jan Östh , Bernd R. Noack , Siniša Krajnović , Diogo Barros , Jacques Borée

Simulations play a key role for inference in collider physics. We explore various approaches for enhancing the precision of simulations using machine learning, including interventions at the end of the simulation chain (reweighting), at the…

高能物理 - 唯象学 · 物理学 2023-10-24 Benjamin Nachman , Ramon Winterhalder

The application of discontinuous Galerkin (DG) schemes to hyperbolic systems of conservation laws requires a careful interplay between space discretization, carried out with local polynomials and numerical fluxes at inter-cells, and…

数值分析 · 数学 2025-11-11 Maya Briani , Gabriella Puppo , Giuseppe Visconti

Large Eddy Simulation with a Perfectly Stirred Reactor model (LES-PSR) is developed to simulate supersonic combustion with high-enthalpy flow conditions. The PSR model considers the viscous heating and compressibility effects on the…

流体动力学 · 物理学 2021-03-29 Majie Zhao , Zhi X. Chen , Huangwei Zhang , Nedunchezhian Swaminathan

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…

流体动力学 · 物理学 2023-08-25 Marius Herr , Rolf Radespiel , Axel Probst