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The main objective of this work is to develop a unified framework that can be used as a lens to quantitatively assess and augment a wide range of coarse-grained models of turbulence, viz. large eddy simulations (LES), hybrid…

Fluid Dynamics · Physics 2023-01-25 Aniruddhe Pradhan , Karthik Duraisamy

By means of mesoscopic numerical simulations of a model soft-glassy material, we investigate the role of boundary roughness on the flow behaviour of the material, probing the bulk/wall and global/local rheologies. We show that the roughness…

Soft Condensed Matter · Physics 2016-08-24 Andrea Scagliarini , Matteo Lulli , Massimo Bernaschi , Mauro Sbragaglia

In this work, based on the moving-least-squares immersed boundary method, we proposed a new technique to improve the calculation of the volume force representing the body boundary. For boundary with simple geometry, we theoretically analyse…

Numerical Analysis · Mathematics 2021-10-27 Wenyuan Chen , Shufan Zou , Qingdong Cai , Yantao Yang

A formulation of the immersed boundary method for incompressible flow over bodies with surface slip described by the Navier boundary condition is presented. In the present method, the wall slip velocity and the boundary force are determined…

Fluid Dynamics · Physics 2025-09-19 Takehiro Fujii , Takeshi Omori

We apply a novel optimization scheme from the image processing and machine learning areas, a fast Primal-Dual method, to achieve controllable and realistic fluid simulations. While our method is generally applicable to many problems in…

Graphics · Computer Science 2017-04-10 Tiffany Inglis , Marie-Lena Eckert , James Gregson , Nils Thuerey

We develop numerical methods to simulate the fluid-mechanical erosion of many bodies in two-dimensional Stokes flow. The broad aim is to simulate the erosion of a porous medium (e.g. groundwater flow) with grain-scale resolution. Our fluid…

Numerical Analysis · Mathematics 2018-09-26 Bryan D. Quaife , M. Nicholas J. Moore

The simulation of long, nonlinear dispersive waves in bounded domains usually requires the use of slip-wall boundary conditions. Boussinesq systems appearing in the literature are generally not well-posed when such boundary conditions are…

Numerical Analysis · Mathematics 2022-01-05 Samer Israwi , Henrik Kalisch , Theodoros Katsaounis , Dimitrios Mitsotakis

In this article we reconsider high Reynolds number boundary layer flows of fluids with viscoelastic properties. We show that a number of previous studies that have attempted to address this problem are, in fact, incomplete. We correctly…

Fluid Dynamics · Physics 2023-02-17 L. J. Escott , P. T. Griffiths

The implementation of boundary conditions is among the most challenging parts of modeling fluid flow through channels and complex media. Here, we show that the existing methods to deal with liquid-wall interactions using multicomponent…

Computational Physics · Physics 2021-05-19 Rodrigo C. V. Coelho , Catarina B. Moura , Margarida M. Telo da Gama , Nuno A. M. Araújo

This paper proposes a simple new closure principle for turbulent shear flows. The turbulent flow field is divided into an outer and an inner region. The inner region is made up of a log-law region and a wall layer. The wall layer is viewed…

Fluid Dynamics · Physics 2010-01-15 Trinh Khanh Tuoc

This work presents a novel numerical investigation of the dynamics of free-boundary flows of viscoelastic liquid membranes. The governing equation describes the balance of linear momentum, in which the stresses include the viscoelastic…

Fluid Dynamics · Physics 2022-04-12 Valeria Barra , Shawn A. Chester , Shahriar Afkhami

Many numerical studies of blood flow impose a rigid wall assumption due to the simplicity of its implementation compared to a full coupling to a solid mechanics model. In this paper, we present a localised method for incorporating the…

Fluid Dynamics · Physics 2021-08-20 J. W. S. McCullough , P. V. Coveney

The proposed method aims to approximate a solution of a fluid-fluid interaction problem in case of low viscosities. The nonlinear interface condition on the joint boundary allows for this problem to be viewed as a simplified version of the…

Numerical Analysis · Mathematics 2020-04-22 Mustafa Aggul , Fatma G. Eroglu , Songül Kaya , Alexander E. Labovsky

We derive an effective boundary condition for granular flow taking into account the effect of the heterogeneity of the force network on sliding friction dynamics. This yields an intermediate boundary condition which lies in the limit…

Soft Condensed Matter · Physics 2009-11-13 Riccardo Artoni , Andrea Santomaso , Paolo Canu

This paper presents a new numerical model based on the highly nonlinear potential flow theory for simulating the propagation of water waves in variable depth. A new set of equations for estimating the surface vertical velocity is derived…

Fluid Dynamics · Physics 2024-12-02 Jinghua Wang

Many applications of computational fluid dynamics require multiple simulations of a flow under different input conditions. In this paper, a numerical algorithm is developed to efficiently determine a set of such simulations in which the…

Numerical Analysis · Mathematics 2017-05-29 Max Gunzburger , Nan Jiang , Zhu Wang

This paper presents a numerical method for the simulation of fluid-structure interaction specifically tailored to interactions between Newtonian fluids and a large number of slender viscoelastic Cosserat rods. Because of their high…

Soft Condensed Matter · Physics 2022-01-13 S. Tschisgale , J. Fröhlich

We study slip boundary conditions for simple fluids at surfaces with nanoscale chemical heterogeneities. Using a perturbative approach, we examine the flow of a Newtonian fluid far from a surface described by a heterogeneous Navier slip…

Fluid Dynamics · Physics 2007-12-21 S. C. Hendy , N. J. Lund

Wall turbulence consists of various sizes of vortical structures that induce flow circulation around a wide range of closed Eulerian loops. Here we investigate the multiscale properties of circulation around such loops in statistically…

Fluid Dynamics · Physics 2025-06-11 Peng-Yu Duan , Xi Chen , Katepalli R. Sreenivasan

Boundary shape, particularly roughness, strongly controls the amount of wall slip in dense granular flows. In this paper, we aim to quantify and understand which aspects of a dense granular flow are controlled by the boundary condition, and…

Soft Condensed Matter · Physics 2022-05-25 Farnaz Fazelpour , Karen E. Daniels