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Related papers: Adjoint-based Optimal Flow Control for Compressibl…

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Adjoint-based sensitivity analysis is of interest in computational science due to its ability to compute sensitivities at a lower cost with respect to several design parameters. However, conventional sensitivity analysis methods fail in the…

Numerical Analysis · Mathematics 2025-07-15 Pranshul Thakur , Siva Nadarajah

This paper concerns compressible subsonic jet flows for a given surrounding pressure from a two-dimensional finitely long convergent nozzle with straight solid wall, which are governed by a free boundary problem for a quasilinear elliptic…

Analysis of PDEs · Mathematics 2019-02-08 Chunpeng Wang , Zhouping Xin

A study of the the main features of low- and high amplitude steady streamwise wall transpiration applied to pipe flow is presented. The effect of the two transpiration parameters, amplitude and wavenumber, on the flow have been investigated…

Fluid Dynamics · Physics 2016-06-16 F Gómez , HM Blackburn , M Rudman , AS Sharma , BJ McKeon

We introduce Coupled Flow Matching (CPFM), a framework that integrates controllable dimensionality reduction and high-fidelity reconstruction. CPFM learns coupled continuous flows for both the high-dimensional data x and the low-dimensional…

Machine Learning · Statistics 2025-10-28 Wenxi Cai , Yuheng Wang , Naichen Shi

Designing active-flow-control (AFC) strategies for three-dimensional (3D) bluff bodies is a challenging task with critical industrial implications. In this study we explore the potential of discovering novel control strategies for drag…

Fluid Dynamics · Physics 2025-03-04 P. Suárez , F. Alcántara-Ávila , J. Rabault , A. Miró , B. Font , O. Lehmkuhl , R. Vinuesa

We present an efficient solver for massively-parallel direct numerical simulations of incompressible turbulent flows. The method uses a second-order, finite-volume pressure-correction scheme, where the pressure Poisson equation is solved…

Fluid Dynamics · Physics 2019-09-13 Pedro Costa

High-fidelity simulations are performed to study active flow control techniques for alleviating deep dynamic stall of a SD7003 airfoil in plunging motion. The flow Reynolds number is $Re=60{,}000$ and the freestream Mach number is $M=0.1$.…

Direct numerical simulations (DNS) and modal analysis techniques are applied to investigate the flow over a NACA-0012 airfoil at a Reynolds number of 50,000. Three different sweep angles are considered, namely 0, 20 and 40 degrees, for two…

Fluid Dynamics · Physics 2019-01-16 Nicola De Tullio , Neil D Sandham

In our earlier work, we proposed a data-driven filtered reduced order model (DDF-ROM) framework for the numerical simulation of fluid flows, which can be formally written as \begin{equation*} \boxed{ \text{ DDF-ROM = Galerkin-ROM +…

Numerical Analysis · Mathematics 2018-12-26 M. Mohebujjaman , L. G. Rebholz , T. Iliescu

The shape of the trailing edge of a gas turbine nozzle guide vane has a significant effect on the downstream stagnation pressure loss and heat transfer over the surface of the vane. Traditionally, adjoint-based design optimization methods…

Fluid Dynamics · Physics 2020-11-30 Chaitanya Talnikar , Qiqi Wang

We combine resolvent-mode decomposition with techniques from convex optimization to optimally approximate velocity spectra in a turbulent channel. The velocity is expressed as a weighted sum of resolvent modes that are dynamically…

Fluid Dynamics · Physics 2014-05-22 R. Moarref , M. R. Jovanovic , J. A. Tropp , A. S. Sharma , B. J. McKeon

Two dimensional active fluids display a transition from turbulent to coherent flow upon decreasing the size of the confining geometry. A recent experiment suggests that the behavior in three dimensions is remarkably different; emergent…

Soft Condensed Matter · Physics 2021-08-17 Minu Varghese , Arvind Baskaran , Michael Hagan , Aparna Baskaran

We introduce a second-order numerical scheme for compressible atmospheric motions at small to planetary scales. The collocated finite volume method treats the advection of mass, momentum, and mass-weighted potential temperature in…

Numerical Analysis · Mathematics 2020-01-08 Tommaso Benacchio , Rupert Klein

Numerical simulation of compressible fluid flows is performed using the Euler equations. They include the scalar advection equation for the density, the vector advection equation for the velocity and a given pressure dependence on the…

Computational Engineering, Finance, and Science · Computer Science 2018-01-22 Petr N. Vabishchevich

Compressible flows around blunt objects have diverse applications, but current analytic treatments are inaccurate and limited to narrow parameter regimes. We show that the gas-dynamic flow in front of an axisymmetric blunt body is…

Earth and Planetary Astrophysics · Physics 2016-11-30 Uri Keshet , Yossi Naor

We present an adjoint-based optimization method to invert for stress and frictional parameters used in earthquake modeling. The forward problem is linear elastodynamics with nonlinear rate-and-state frictional faults. The misfit functional…

Numerical Analysis · Mathematics 2024-09-10 Vidar Stiernström , Martin Almquist , Eric M. Dunham

The paper is devoted to an adjoint complement to the universal Law of the Wall (LoW) for fluid dynamic momentum boundary layers. The latter typically follows from a strongly simplified, unidirectional shear flow under a constant stress…

Fluid Dynamics · Physics 2020-12-18 Niklas Kühl , Peter M. Müller , Thomas Rung

We address the problem of sampling from terminally constrained distributions with pre-trained flow-based generative models through an optimal control formulation. Theoretically, we characterize the value function by a…

Machine Learning · Computer Science 2026-01-15 Weiguo Gao , Ming Li , Qianxiao Li

Well-resolved direct numerical simulations (DNSs) have been performed of the flow in a smooth circular pipe of radius $R$ and axial length $10\pi R$ at friction Reynolds numbers up to $Re_\tau=5200$. Various turbulence statistics are…

Fluid Dynamics · Physics 2023-02-15 Jie Yao , Saleh Rezaeiravesh , Philipp Schlatter , Fazle Hussain

In this article we consider an optimization problem where the objective function is evaluated at the fixed-point of a contraction mapping parameterized by a control variable, and optimization takes place over this control variable. Since…

Optimization and Control · Mathematics 2020-05-04 Thomas Flynn