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We use resolvent analysis to determine an unsteady active control setup to attenuate pressure fluctuations in turbulent supersonic flow over a rectangular cavity with a length-to-depth ratio of 6 at a Mach number of 1.4 and a Reynolds…

Fluid Dynamics · Physics 2021-09-01 Qiong Liu , Yiyang Sun , Chi-An Yeh , Lawrence S. Ukeiley , Louis N. Cattafesta , Kunihiko Taira

Response modes computed via linear resolvent analysis of a turbulent mean-flow field have been shown to qualitatively capture characteristics of the observed turbulent coherent structures in both wall-bounded and free shear flows. To make…

Fluid Dynamics · Physics 2021-05-12 Ethan Pickering , Georgios Rigas , Oliver T. Schmidt , Denis Sipp , Tim Colonius

This study presents an efficient and accurate discrete adjoint gas-kinetic scheme (GKS) for sensitivity analysis and aerodynamic shape optimization in continuum flow regimes. Developed using the backward mode of algorithmic differentiation…

Fluid Dynamics · Physics 2026-04-17 Hangkong Wu , Yuze Zhu , Yajun Zhu , Kun Xu

Plane Couette flow at Re=1200 (based on the channel half-height and half the velocity difference between the top and bottom plates) is investigated with a spatial domain designed to retain only two spanwise integral length scales. In this…

Fluid Dynamics · Physics 2024-11-20 Matthew McCormack , André V. G. Cavalieri , Yongyun Hwang

Informed by LES data and resolvent analysis of the mean flow, we examine the structure of turbulence in jets in the subsonic, transonic, and supersonic regimes. Spectral (frequency-space) proper orthogonal decomposition is used to extract…

Fluid Dynamics · Physics 2018-11-28 Oliver T. Schmidt , Aaron Towne , Georgios Rigas , Tim Colonius , Guillaume A. Brès

Simulation of turbulent flows at high Reynolds number is a computationally challenging task relevant to a large number of engineering and scientific applications in diverse fields such as climate science, aerodynamics, and combustion.…

Computational Physics · Physics 2020-10-06 Jaideep Pathak , Mustafa Mustafa , Karthik Kashinath , Emmanuel Motheau , Thorsten Kurth , Marcus Day

Recently, H(div)-conforming DG type methods coupled with Runge-Kutta (RK) time stepping have been widely employed for simulating high Reynolds number flows, with the convective terms treated explicitly. Although the analysis techniques of…

Numerical Analysis · Mathematics 2026-01-29 Yongbin Han , Yanren Hou , Xuehua Zhao

The future of high-performance computing, specifically on future Exascale computers, will presumably see memory capacity and bandwidth fail to keep pace with data generated, for instance, from massively parallel partial differential…

Computational Physics · Physics 2020-01-29 Alec M. Dunton , Lluís Jofre , Gianluca Iaccarino , Alireza Doostan

In this paper, we present a fast implementation of the Singular Value Thresholding (SVT) algorithm for matrix completion. A rank-revealing randomized singular value decomposition (R3SVD) algorithm is used to adaptively carry out partial…

Numerical Analysis · Computer Science 2017-04-20 Yaohang Li , Wenjian Yu

High-dimensional Kronecker-structured estimation faces a conflict between non-convex scaling ambiguities and statistical robustness. The arbitrary factor scaling distorts gradient magnitudes, rendering standard fixed-threshold robust…

Methodology · Statistics 2025-12-23 Xiaoyu Zhang , Zhiyun Fan , Wenyang Zhang , Di Wang

Acoustics loads are rocket design constraints which push researches and engineers to invest efforts in the aeroacoustics phenomena which is present on launch vehicles. Therefore, an in-house computational fluid dynamics tool is developed in…

Computational Engineering, Finance, and Science · Computer Science 2020-03-23 Carlos Junqueira-Junior , João Luiz F. Azevedo , Jairo Panetta , William R. Wolf , Sami Yamouni

Current bundle adjustment solvers such as the Levenberg-Marquardt (LM) algorithm are limited by the bottleneck in solving the Reduced Camera System (RCS) whose dimension is proportional to the camera number. When the problem is scaled up,…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Lei Zhou , Zixin Luo , Mingmin Zhen , Tianwei Shen , Shiwei Li , Zhuofei Huang , Tian Fang , Long Quan

Transient growth and resolvent analyses are routinely used to assess non-asymptotic properties of fluid flows. In particular, resolvent analysis can be interpreted as a special case of viewing flow dynamics as an open system in which…

Fluid Dynamics · Physics 2020-10-28 Mihailo R. Jovanović

Modeling of turbulent flows is still challenging. One way to deal with the large scale separation due to turbulence is to simulate only the large scales and model the unresolved contributions as done in large-eddy simulation (LES). This…

Computational Physics · Physics 2019-10-03 Mathis Bode , Michael Gauding , Konstantin Kleinheinz , Heinz Pitsch

In this work, important two-phase flow scalings are derived, which enable the quantification of grid-point and time-step requirements as functions of Re, We, and Ca numbers. The adequate grid resolution is determined in the…

Fluid Dynamics · Physics 2025-10-10 Luis H. Hatashita , Pranav Nathan , Suhas S. Jain

A key part of planning CO2 storage sites is to devise a monitoring strategy. The aim of this strategy is to fulfill the requirements of legislations and lower cost of the operation by avoiding operational problems. If CCS is going to be a…

This paper addresses the problem of obtaining low-order models of fluid flows for the purpose of designing robust feedback controllers. This is challenging since whilst many flows are governed by a set of nonlinear, partial…

The singular value decomposition (SVD) is a powerful tool in modern numerical linear algebra, which underpins computational methods such as principal component analysis (PCA), low-rank approximations, and randomized algorithms. Many…

Mathematical Software · Computer Science 2026-04-10 Ahmad Abdelfattah , Massimiliano Fasi

As the number of processor cores on supercomputers becomes larger and larger, algorithms with high degree of parallelism attract more attention. In this work, we propose a novel space-time coupled algorithm for solving an inverse problem…

Numerical Analysis · Computer Science 2015-08-26 Xiaomao Deng , Xiao-chuan Cai , Jun Zou

We present a novel, practical, and provable approach for solving diagonally constrained semi-definite programming (SDP) problems at scale using accelerated non-convex programming. Our algorithm non-trivially combines acceleration motions…

Optimization and Control · Mathematics 2023-02-07 Junhyung Lyle Kim , JA Lara Benitez , Mohammad Taha Toghani , Cameron Wolfe , Zhiwei Zhang , Anastasios Kyrillidis