Deep neural networks for data-driven LES closure models

A Beck, D Flad, CD Munz - Journal of Computational Physics, 2019 - Elsevier
In this work, we present a novel data-based approach to turbulence modeling for Large
Eddy Simulation (LES) by artificial neural networks. We define the perfect LES formulation …

[HTML][HTML] 航空航天CFD 物理模型和计算方法的述评与挑战

阎超, 屈峰, 赵雅甜, 于剑, 武从海, 张树海 - 空气动力学学报, 2020 - html.rhhz.net
CFD (computational fluid dynamics) 在航空航天中的应用发展迅速, 成效斐然,
成为飞行器研制和空气动力学研究的重要手段. 但另一方面, CFD 在物理模型和计算方法等核心 …

A novel robust strategy for discontinuous Galerkin methods in computational fluid mechanics: Why? When? What? Where?

GJ Gassner, AR Winters - Frontiers in Physics, 2021 - frontiersin.org
In this paper we will review a recent emerging paradigm shift in the construction and
analysis of high order Discontinuous Galerkin methods applied to approximate solutions of …

Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

GJ Gassner, AR Winters, DA Kopriva - Journal of Computational Physics, 2016 - Elsevier
Abstract Fisher and Carpenter (2013)[12] found a remarkable equivalence of general
diagonal norm high-order summation-by-parts operators to a subcell based high-order finite …

Discontinuous Galerkin methods for hypersonic flows

DS Hoskin, RL Van Heyningen, NC Nguyen… - Progress in Aerospace …, 2024 - Elsevier
In recent years, high-order discontinuous Galerkin (DG) methods have emerged as an
attractive approach for numerical simulations of compressible flows. This paper presents an …

A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods

GJ Gassner - SIAM Journal on Scientific Computing, 2013 - SIAM
This paper shows that the discontinuous Galerkin collocation spectral element method with
Gauss--Lobatto points (DGSEM-GL) satisfies the discrete summation-by-parts (SBP) …

FLEXI: A high order discontinuous Galerkin framework for hyperbolic–parabolic conservation laws

N Krais, A Beck, T Bolemann, H Frank, D Flad… - … & Mathematics with …, 2021 - Elsevier
High order (HO) schemes are attractive candidates for the numerical solution of multiscale
problems occurring in fluid dynamics and related disciplines. Among the HO discretization …

High‐order discontinuous Galerkin spectral element methods for transitional and turbulent flow simulations

AD Beck, T Bolemann, D Flad, H Frank… - … Methods in Fluids, 2014 - Wiley Online Library
In this paper, we investigate the accuracy and efficiency of discontinuous Galerkin spectral
method simulations of under‐resolved transitional and turbulent flows at moderate Reynolds …

A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations

S Hennemann, AM Rueda-Ramírez… - Journal of …, 2021 - Elsevier
The main result in this paper is a provably entropy stable shock capturing approach for the
high order entropy stable Discontinuous Galerkin Spectral Element Method (DGSEM) based …

Linear dispersion–diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/hp methods

RC Moura, SJ Sherwin, J Peiró - Journal of Computational Physics, 2015 - Elsevier
We investigate the potential of linear dispersion–diffusion analysis in providing direct
guidelines for turbulence simulations through the under-resolved DNS (sometimes called …