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The background method is a widely used technique to bound mean properties of turbulent flows rigorously. This work reviews recent advances in the theoretical formulation and numerical implementation of the method. First, we describe how the…

Fluid Dynamics · Physics 2022-05-18 Giovanni Fantuzzi , Ali Arslan , Andrew Wynn

This paper presents the linear global stability analysis of the incompressible axisymmetric boundary layer on a circular cylinder. The base flow is parallel to the axis of the cylinder at inlet. The pressure gradient is zero in the…

Fluid Dynamics · Physics 2016-09-16 N. Vinod , Ramesh Bhoraniya

The present research is a theoretical study about the transient friction created in circular pipe mean flow, whenever an incompressible Newtonian fluid is accelerated through a monotonously-increased mean-pressure gradient. The resulting…

Fluid Dynamics · Physics 2025-10-23 F. Javier Garcia Garcia , Pablo Fariñas Alvariño

Phase effect on the modal interaction of flow instabilities is investigated for laminar-to-turbulent transition in a flat-plate boundary layer flow. Primary and secondary instabilities are numerically studied with 2D Tollmien-Schlichting…

Fluid Dynamics · Physics 2021-10-14 Minwoo Kim , Seungtae Kim , Jiseop Lim , Ray-Sing Lin , Solkeun Jee , Donghun Park

We present a hybrid lattice Boltzmann algorithm for the simulation of flow glass-forming fluids, characterized by slow structural relaxation, at the level of the Navier-Stokes equation. The fluid is described in terms of a nonlinear…

Soft Condensed Matter · Physics 2015-04-24 S. Papenkort , Th. Voigtmann

Compositional simulation is challenging, because of highly nonlinear couplings between multi-component flow in porous media with thermodynamic phase behavior. The coupled nonlinear system is commonly solved by the fully-implicit scheme.…

Computational Physics · Physics 2020-10-13 Jiamin Jiang , Xian-Huan Wen

Wall-bounded flows experience a transition to turbulence characterized by the coexistence of laminar and turbulent domains in some range of Reynolds number R, the natural control parameter. This transitional regime takes place between an…

Fluid Dynamics · Physics 2017-07-03 Paul Manneville

In this paper, the solutions of Navier-Stokes equations with Dirichlet boundary conditions governing 2-D incompressible fluid flows are considered. A condition for boundary layer separation, which is determined by initial values and…

Fluid Dynamics · Physics 2014-03-12 Hong Luo , Quan Wang , Tian Ma

High-order discontinuous Galerkin spectral element methods (DGSEM) have received growing attention and development, especially in the regime of computational fluid dynamics in recent years. The inherent flexibility of the discontinuous…

Numerical Analysis · Mathematics 2025-12-22 Boyang Xia , David Moxey

In this paper we present a mathematical analysis for a steady-state laminar boundary layer flow, governed by the Ostwald-de Wael power-law model of an incompressible non- Newtonian fluid past a semi-infinite power-law stretched flat plate…

Classical Physics · Physics 2009-04-03 Mohamed Guedda , Zakia Hammouch

We consider the stability of transonic contact discontinuity for the two-dimensional steady compressible Euler flows in a finitely long nozzle. This is the first work on the mixed-type problem of transonic flows across a contact…

Analysis of PDEs · Mathematics 2021-08-31 Feimin Huang , Jie Kuang , Dehua Wang , Wei Xiang

In this work we present a reduced basis Smagorinsky turbulence model for steady flows. We approximate the non-linear eddy diffusion term using the Empirical Interpolation Method, and the velocity-pressure unknowns by an independent…

In many plasma systems, introducing a small background shear flow is enough to stabilize the system linearly. The nonlinear dynamics are much less sensitive to sheared flows than the average linear growthrates, and very small amplitude…

Plasma Physics · Physics 2018-01-17 Chris C. T. Pringle , Ben F. McMillan , Bogdan Teaca

We examine the Markov properties of the three velocity components of a turbulent flow generated by a DNS simulation of the flow around an airfoil section. The spectral element code Nektar has been used to generate a well resolved flow field…

Fluid Dynamics · Physics 2010-12-01 Bernhard Stoevesandt , Andrei Shishkin , Robert Stresing , Claus Wagner , Joachim Peinke

We investigate the reconstruction of a turbulent flow field in the atmospheric boundary layer from a time series of lidar measurements, using Large-Eddy Simulations (LES) and a 4D-Var data assimilation algorithm. This leads to an…

Fluid Dynamics · Physics 2020-11-17 Pieter Bauweraerts , Johan Meyers

The recent discovery of polymer diffusive instability (PDI) by Beneitez et al. (Phys. Rev. Fluids, 2023, 8: L101901) poses challenges in implementing artificial conformation diffusion (ACD) in transition simulations of viscoelastic…

Fluid Dynamics · Physics 2025-10-01 Ming Dong , Dongdong Wan

Nonstationary and nonlinear signals are ubiquitous in real life. Their decomposition and analysis is an important topic of research in signal processing. Recently a new technique, called Iterative Filtering, has been developed with the goal…

Numerical Analysis · Mathematics 2019-02-14 Antonio Cicone , Pietro Dell'Acqua

Research on active control for the delay of laminar-turbulent transition in boundary layers has made a significant progress in the last two decades, but the employed strategies have been many and dispersed. Using one framework, we review…

Fluid Dynamics · Physics 2014-03-17 N. Fabbiane , O. Semeraro , S. Bagheri , D. S. Henningson

The accuracy of rate constants calculated using transition state theory depends crucially on the correct identification of a recrossing--free dividing surface. We show here that it is possible to define such optimal dividing surface in…

This work presents a robust and efficient sharp interface immersed boundary (IBM) framework, which is applicable for all-speed flow regimes and is capable of handling arbitrarily complex bodies (stationary or moving). The work deploys an…

Computational Physics · Physics 2021-01-22 Pradeep Kumar Seshadri , Ashoke De