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This paper presents a novel modeling approach for unsteady aircraft airflow, leveraging the Lorenz attractor framework. The proposed model is based on the force distribution exerted by a lift-generating wing on the surrounding fluid. It…

Fluid Dynamics · Physics 2026-03-09 Marcel Menner , Eugene Lavretsky

In this article, a thorough characterization of the configuration composed by two concentric jets at a low Reynolds number is presented. The analysis comprises a layout with a wide range for the velocity ratio between the inner and outer…

Effective airfoil geometry optimization requires exploring a diverse range of designs using as few design variables as possible. This study introduces AirDbM, a Design-by-Morphing (DbM) approach specialized for airfoil optimization that…

Machine Learning · Computer Science 2025-11-17 Sangjoon Lee , Haris Moazam Sheikh

This paper describes an investigation of the possible benefits from wing optimisation in improving the performance of Micro Air Vehicles (MAVs). As an example we study the Avion (3.64 kg mass, 1.60 m span), being designed at the CSIR…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Arjun Sharma , Roddam Narasimha

We develop hybrid RANS-LES strategies within the spectral element code Nek5000 based on the $k-\tau$ class of turbulence models. We chose airfoil sections at small flight configurations as our target problem to comprehensively test the…

Computational Engineering, Finance, and Science · Computer Science 2024-10-10 Vishal Kumar , Ananias Tomboulides , Paul Fischer , Misun Min

While flow optimization has been extensively studied in the continuum regime, its extension to rarefied gas flows remains less explored. Here, based on the Boltzmann model equation, an adjoint topology optimization method is employed to…

Fluid Dynamics · Physics 2025-10-17 Ruifeng Yuan , Lei Wu

In this work we consider the problem of finding the minimum-weight loop cover of an undirected graph. This combinatorial optimization problem is called 2-matching and can be seen as a relaxation of the traveling salesman problem since one…

Disordered Systems and Neural Networks · Physics 2018-08-28 Sergio Caracciolo , Andrea Di Gioacchino , Enrico M. Malatesta

Response surfaces are common surrogates for expensive computer simulations in engineering analysis. However, the cost of fitting an accurate response surface increases exponentially as the number of model inputs increases, which leaves…

Numerical Analysis · Mathematics 2017-11-22 Paul G. Constantine , Armin Eftekhari , Jeffrey Hokanson , Rachel Ward

We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder that exhibits chaotic behavior, to examine the behavior of various numerical methods. We choose a range of Reynolds numbers for which the flow is…

Numerical Analysis · Mathematics 2024-08-19 Henry von Wahl , L. Ridgway Scott

We study the immersed boundary problem in 2-D. It models a 1-D elastic closed string immersed and moving in a fluid that fills the entire plane, where the fluid motion is governed by the 2-D incompressible Navier-Stokes equation with a…

Analysis of PDEs · Mathematics 2025-12-17 Jiajun Tong , Dongyi Wei

We present a unified treatment of the abstract problem of finding the best approximation between a cone and spheres in the image of affine transformations. Prominent instances of this problem are phase retrieval and source localization. The…

Optimization and Control · Mathematics 2020-03-26 D. Russell Luke , Shoham Sabach , Marc Teboulle

Effect of airfoil thickness on onset of dynamic stall is investigated using large eddy simulations at chord-based Reynolds number of 200,000. Four symmetric NACA airfoils of thickness-to-chord ratios of 9%, 12%, 15%, and 18% are studied.…

Fluid Dynamics · Physics 2017-05-19 Anupam Sharma , Miguel Visbal

An efficient topology optimization method applicable to both continuum and rarefied gas flows is proposed in the framework of gas-kinetic theory. The areas of gas and solid are marked by the material density, based on which a fictitious…

Fluid Dynamics · Physics 2023-08-15 Ruifeng Yuan , Lei Wu

Aerodynamic design optimization is an important problem in aircraft design that depends on the interplay between a numerical optimizer and a high-fidelity flow physics solver. Derivative-based, first and (quasi) second order, optimization…

Optimization and Control · Mathematics 2026-04-17 Punya Plaban , Peter Bachman , Ashwin Renganathan

Bio-inspired oscillatory foil propulsion has the ability to traverse various propulsive modes by dynamically changing the foil's heave and pitch kinematics. This research characterizes the propulsion properties and wake dynamics of a…

Fluid Dynamics · Physics 2020-09-24 Mukul Dave , Arianne Spaulding , Jennifer A. Franck

In this paper, we study the ventilation airflow in a model classroom, where exhaust fans throw out the used air, to replace it with outdoor air through open door. Hybrid ventilation, or mechanically assisted natural ventilation, of this…

Fluid Dynamics · Physics 2025-12-30 Deep Narayan Singh , Lagoon Biswal , Girish Naik , Manaswita Bose , Krishnendu Sinha

We perform resolvent analysis to examine the perturbation dynamics over the laminar separation bubble (LSB) that forms near the leading edge of a NACA 0012 airfoil at a chord-based Reynolds number of 500,000 and an angle of attack of 8…

Fluid Dynamics · Physics 2020-08-03 Chi-An Yeh , Stuart I. Benton , Kunihiko Taira , Daniel J. Garmann

Flow control for turbulent skin-friction drag reduction is applied to a transonic airfoil to improve its aerodynamic performance. The study is based on direct numerical simulations (with up to 1.8 billions cells) of the compressible…

We propose, analyze, and investigate numerically a novel feedback control strategy for high Reynolds number flows. For both the continuous and the discrete (finite element) settings, we prove that the new strategy yields accurate results…

Numerical Analysis · Mathematics 2025-07-11 Maria Strazzullo , Francesco Ballarin , Traian Iliescu , Claudio Canuto

We consider the convected Helmholtz equation with a generalized Myers boundary condition (a boundary condition of the second-order) and characterize the set of physical parameters for which the problem is weakly well-posed. The model comes…

Analysis of PDEs · Mathematics 2025-06-26 Nabil Alami , Edward Lucyszyn , Raphaél Pain Dit Hermier , Anna Rozanova-Pierrat
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