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This work introduces a variant of resolvent analysis that identifies forcing and response modes that are sparse in both space and time. This is achieved through the use of a sparse principal component analysis (PCA) algorithm, which…

Fluid Dynamics · Physics 2022-12-07 Barbara Lopez-Doriga , Eric Ballouz , H. Jane Bae , Scott T. M. Dawson

This paper presents a robust, adaptive numerical scheme for simulating high density ratio and high shear multiphase flows on locally refined Cartesian grids that adapt to the evolving interfaces and track regions of high vorticity. The…

Computational Physics · Physics 2019-09-04 Nishant Nangia , Boyce E. Griffith , Neelesh A. Patankar , Amneet Pal Singh Bhalla

This investigation aims to assess the effect of different types of actuator forcing on the feedback loop of an under-expanded Mach 1.27 planar impinging jet using a resolvent framework. To this end, we employ a Large Eddy Simulation…

Fluid Dynamics · Physics 2022-04-18 Qiong Liu , Chitrarth Prasad , Datta V. Gaitonde

A modified HLLC-type contact preserving Riemann solver for incompressible two-phase flows using the artificial compressibility formulation is presented. Here, the density is omitted from the pressure evolution equation. Also, while…

Computational Physics · Physics 2022-07-14 Sourabh P. Bhat , J. C. Mandal

Hydrodynamic and acoustic scales separate as the Mach number decreases, making the modelling of aeroacoustic phenomena singular in this flow regime. The benchmark of the flow developing around an oscillating and vibrating cylinder is one of…

Fluid Dynamics · Physics 2024-08-09 Étienne Spieser , Siyang Zhong , Xin Zhang

Linearisation of the Navier-Stokes equations about the mean of a turbulent flow forms the foundation of popular models for energy amplification and coherent structures, including resolvent analysis. While the Navier-Stokes equations can be…

We establish the theoretical framework for adjoint-based phase reduction analysis for incompressible periodic flows. Through this adjoint-based method, we obtain spatiotemporal phase sensitivity fields through a single pair of forward and…

Fluid Dynamics · Physics 2022-10-11 Yoji Kawamura , Vedasri Godavarthi , Kunihiko Taira

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

A high-fidelity simulation of the shock/transitional boundary layer interaction caused by a 15-degrees axisymmetrical compression ramp is performed at a freestream Mach number of 5 and a transitional Reynolds number. The inlet of the…

Fluid Dynamics · Physics 2020-11-18 Mathieu Lugrin , Samir Beneddine , Colin Leclercq , Eric Garnier , Reynald Bur

The acoustic wave-propagation without mean flow and heat flux can be described in terms of velocity and pressure by the compressible nonlinear Navier-Stokes equations, where boundary layers appear at walls due to the viscosity and a…

Analysis of PDEs · Mathematics 2017-01-10 Anastasia Thoens-Zueva , Kersten Schmidt , Adrien Semin

With a view to identifying and understanding the linear receptivity and amplification mechanisms that underpin laminar-to-turbulent transition over blunt bodies in hypersonic flow, we use resolvent analysis to study the flow over a blunt…

Fluid Dynamics · Physics 2026-01-06 N. d'Eprémesnil , C. Caillaud , G. Lehnasch , M. Olazabal , P. Jordan

Coherent structures are found in many different turbulent flows and are known to drive self-sustaining processes in wall turbulence. Identifying the triadic interactions which generate coherent structures can provide insights beyond what is…

Fluid Dynamics · Physics 2024-05-20 Ugur Karban , Eduardo Martini , André V. G. Cavalieri , Peter Jordan

We present a polar coordinate lattice Boltzmann kinetic model for compressible flows. A method to recover the continuum distribution function from the discrete distribution function is indicated. Within the model, a hybrid scheme being…

Soft Condensed Matter · Physics 2018-03-09 Chuandong Lin , Aiguo Xu , Guangcai Zhang , Yingjun Li , Sauro Succi

Recent works have established the utility of sparsity-promoting norms for extracting spatially-localized instability mechanisms in fluid flows, with possible implications for flow control. However, these prior works have focused on linear…

Fluid Dynamics · Physics 2023-11-17 A. Leonid Heide , Maziar S. Hemati

In the present thesis, we are interested in the description of the dynamics of flows on large scales. In this context, the fluids are governed by rotational, weak compressibility and stratification effects, whose importance is measured by…

Analysis of PDEs · Mathematics 2022-05-25 Gabriele Sbaiz

The relationship between Koopman mode decomposition, resolvent mode decomposition and exact invariant solutions of the Navier-Stokes equations is clarified. The correspondence rests upon the invariance of the system operators under symmetry…

Fluid Dynamics · Physics 2016-07-27 Ati S. Sharma , Igor Mezić , Beverley J. McKeon

In high-speed rotating channels, significant compressive effects are observed, resulting in distinct flow characteristics compared to incompressible flows. In this study, we employed a finite volume method based on the simple algorithm to…

Fluid Dynamics · Physics 2023-09-27 Junxin Che , Ruquan You , Wenbin Chen , Haiwang Li

A resolvent-based methodology is employed to obtain spatio--temporal estimates of turbulent pipe flow from probe measurements of wall shear-stress fluctuations. Direct numerical simulations (DNS) and large-eddy simulations (LES) of…

Fluid Dynamics · Physics 2023-08-01 Filipe Ramos do Amaral , André Valdetaro Gomes Cavalieri

A modelling framework based on the resolvent analysis and machine learning is proposed to predict the turbulent energy in incompressible channel flows. In the framework, the optimal resolvent response modes are selected as the basis…

Fluid Dynamics · Physics 2024-03-11 Yitong Fan , Bo Chen , Weipeng Li

This paper is concerned with the incompressible limit problem for strong solutions of compressible two-phase flow models under periodic boundary conditions, where the Navier-Stokes equations are nonlinearly coupled with either Cahn-Hilliard…

Analysis of PDEs · Mathematics 2025-03-04 Yinghua Li , Manrou Xie