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 perspective on high-order methods in computational fluid dynamics

ZJ Wang - Science China Physics, Mechanics & Astronomy, 2016 - Springer
There has been an intensive international effort to develop high-order Computational Fluid
Dynamics (CFD) methods into design tools in aerospace engineering during the last one …

High-order computational fluid dynamics tools for aircraft design

ZJ Wang - … Transactions of the Royal Society A …, 2014 - royalsocietypublishing.org
Most forecasts predict an annual airline traffic growth rate between 4.5 and 5% in the
foreseeable future. To sustain that growth, the environmental impact of aircraft cannot be …

Output-based space–time mesh optimization for unsteady flows using continuous-in-time adjoints

KJ Fidkowski - Journal of Computational Physics, 2017 - Elsevier
We present a method for estimating spatial and temporal numerical errors in scalar outputs
of unsteady fluid dynamics simulations using continuous-in-time adjoint solutions and …

Adaptive high-order fluid-structure interaction simulations with reduced mesh-motion errors

V Ojha, KJ Fidkowski, CES Cesnik - AIAA Journal, 2021 - arc.aiaa.org
This paper demonstrates an adaptive approach for solving fluid–structure interaction
problems using high-fidelity numerical methods along with a detailed analysis of mesh …

Gradient-based shape optimization for unsteady turbulent simulations using field inversion and machine learning

KJ Fidkowski - Aerospace Science and Technology, 2022 - Elsevier
This paper presents a method for gradient-based shape optimization using unsteady models
of turbulent flowfields, for which forward simulations are already expensive and adjoint …

Output-based error estimation and mesh adaptation for unsteady turbulent flow simulations

KJ Fidkowski - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
This paper presents a method for estimating output errors and adapting computational
meshes in simulations of unsteady turbulent flows. The chaotic nature of such problems …

[HTML][HTML] 间断伽辽金方法在可压缩流数值模拟中的应用研究综述

吕宏强, 张涛, 孙强, 陈建伟, 秦望龙 - 空气动力学学报, 2017 - html.rhhz.net
本文对近三十年来, 国内外对于高精度数值方法研究中的热点——间断伽辽金方法在可压缩流
数值模拟方面的应用研究进行了综述. 首先对间断伽辽金方法的基本概念和特点作了简单介绍 …

Adjoint methods for guiding adaptive mesh refinement in tsunami modeling

BN Davis, RJ LeVeque - Global tsunami science: Past and future, volume I, 2017 - Springer
One difficulty in developing numerical methods for tsunami modeling is the fact that solutions
contain time-varying regions where much higher resolution is required than elsewhere in the …

A hybridized discontinuous Galerkin method on mapped deforming domains

KJ Fidkowski - Computers & Fluids, 2016 - Elsevier
In this paper we present a hybridized discontinuous Galerkin (HDG) discretization for
unsteady simulations of convection-dominated flows on mapped deforming domains. Mesh …