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Direct numerical simulations have proven of inestimable help to our understanding of the transition to turbulence in wall-bounded flows. While the dynamics of the transition from laminar flow to turbulence via localised spots can be…

Pattern Formation and Solitons · Physics 2014-12-17 Paul Manneville , Joran Rolland

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

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

Linear stability analysis has proven to be a useful tool in the analysis of dominant coherent structures, such as the von K\'{a}rm\'{a}n vortex street and the global spiral mode associated with the vortex breakdown of swirling jets. In…

Fluid Dynamics · Physics 2016-08-24 Lothar Rukes , Christian Oliver Paschereit , Kilian Oberleithner

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 report on recent work on adaptive timestep control for weakly instationary gas flows [16, 18, 17] carried out within SFB 401, TPA3. The method which we implement and extend is a space-time splitting of adjoint error representations for…

Numerical Analysis · Mathematics 2014-05-22 Sebastian Noelle , Christina Steiner

The computational cost of fluid simulations increases rapidly with grid resolution. This has given a hard limit on the ability of simulations to accurately resolve small scale features of complex flows. Here we use a machine learning…

Computational Physics · Physics 2021-06-23 Jiawei Zhuang , Dmitrii Kochkov , Yohai Bar-Sinai , Michael P. Brenner , Stephan Hoyer

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

Nonlinear convection, the source of turbulence in fluid flows, may hold the key to stabilizing turbulence by solving a specific cubic polynomial equation. We consider the incompressible Navier-Stokes equations in a two-dimensional channel.…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Mohamed Camil Belhadjoudja , Miroslav Krstic , Emmanuel Witrant

The paper is concerned with a node-based, gradient-driven, continuous adjoint two-phase flow procedure to optimize the shapes of free-floating vessels and discusses three topics. First, we aim to convey that elements of a Cahn-Hilliard…

Fluid Dynamics · Physics 2022-02-10 Niklas Kühl , Thanh Tung Nguyen , Michael Palm , Dirk Jürgens , Thomas Rung

We consider the incompressible Navier--Stokes equations with periodic boundary conditions and time-independent forcing. For this type of flow, we derive adjoint equations whose trajectories converge asymptotically to the equilibrium and…

Fluid Dynamics · Physics 2016-04-15 Mohammad Farazmand

Invariant solutions of the Navier-Stokes equations play an important role in the spatiotemporally chaotic dynamics of turbulent shear flows. Despite the significance of these solutions, their identification remains a computational…

Fluid Dynamics · Physics 2023-10-11 Omid Ashtari , Tobias M. Schneider

Floods, tides and tsunamis are turbulent, yet conventional models are based upon depth averaging inviscid irrotational flow equations. We propose to change the base of such modelling to the Smagorinksi large eddy closure for turbulence in…

Chaotic Dynamics · Physics 2008-05-22 A. J. Roberts , D. J. Georgiev , D. V. Strunin

In this paper, we first propose a filter-based continuous Ensemble Eddy Viscosity (EEV) model for stochastic turbulent flow problems. We then propose a generic algorithm for a family of fully discrete, grad-div regularized, efficient…

Numerical Analysis · Mathematics 2025-08-15 Brandiece N. Berry , Md Mahmudul Islam , Muhammad Mohebujjaman , Neethu Suma Raveendran

A novel robust nonlinear model predictive control strategy is proposed for systems with nonlinear dynamics and convex state and control constraints. Using a sequential convex approximation approach and a difference of convex functions…

Optimization and Control · Mathematics 2025-01-28 Yana Lishkova , Mark Cannon

Verification, validation and uncertainty quantification (VVUQ) have become a common practice in thermal-hydraulics analysis. An important step in the uncertainty analysis is the sensitivity analysis of various uncertain input parameters.…

Computational Physics · Physics 2018-05-04 Guojun Hu , Tomasz Kozlowski

This work deals with a number of questions relative to the discrete and continuous adjoint fields associated with the compressible Euler equations and classical aerodynamic functions. The consistency of the discrete adjoint equations with…

Computational Physics · Physics 2021-11-17 Jacques Peter , Florent Renac , Clément Labbé

Currently, Eulerian flow solvers are very efficient in accurately resolving flow structures near solid boundaries. On the other hand, they tend to be diffusive and to dampen high-intensity vortical structures after a short distance away…

Numerical Analysis · Mathematics 2015-06-05 Artur Palha , Lento Manickathan , Carlos Simao Ferreira , Gerard van Bussel

Adjoints are used in optimization to speed-up computations, simplify optimality conditions or compute sensitivities. Because time is reversed in adjoint equations with first order time derivatives, boundary conditions and transmission…

Computational Engineering, Finance, and Science · Computer Science 2011-04-12 Frederic Alauzet , Olivier Pironneau

Direct methods for the simulation of optimal control problems apply a specific discretization to the dynamics of the problem, and the discrete adjoint method is suitable to calculate corresponding conditions to approximate an optimal…