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Immersed boundary methods allow describing complex objects on simple Cartesian grids in time-domain simulations. The penalization technique employed here is a physically motivated Brinkman method that models objects as porous material by…

流体动力学 · 物理学 2023-03-22 Mathias Lemke , Julius Reiss

Immersed boundary methods for computing confined fluid and plasma flows in complex geometries are reviewed. The mathematical principle of the volume penalization technique is described and simple examples for imposing Dirichlet and Neumann…

等离子体物理 · 物理学 2015-10-07 Kai Schneider

The volume penalization (VP) or the Brinkman penalization (BP) method is a diffuse interface method for simulating multiphase fluid-structure interaction (FSI) problems in ocean engineering and/or phase change problems in thermal sciences.…

Despite the significant role of turbomachinery in fluid-based energy transfer, precise simulation of rotating solid objects with complex geometry is a challenging task. In the present study, the volume penalization method (VPM) is combined…

流体动力学 · 物理学 2026-01-16 Ming Liu , Yosuke Hasegawa

We analyse and improve the volume-penalty method, a simple and versatile way to model objects in fluid flows. The volume-penalty method is a kind of fictitious-domain method that approximates no-slip boundary conditions with rapid linear…

数值分析 · 数学 2020-12-09 Eric W. Hester , Geoffrey M. Vasil , Keaton J. Burns

Immersed boundary methods are extensively used for simulations of dynamic solid objects interacting with fluids due to their computational efficiency and modelling flexibility compared to body-fitted grid methods. However, thin geometries,…

流体动力学 · 物理学 2022-03-14 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

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…

流体动力学 · 物理学 2022-04-12 Valeria Barra , Shawn A. Chester , Shahriar Afkhami

From the steady Stokes and Navier-Stokes models, a penalization method has been considered by several authors for approximating those fluid equations around obstacles. In this work, we present a justification for using fictitious domains to…

偏微分方程分析 · 数学 2021-08-30 Jorge Aguayo , Hugo Carrillo

This work extends, to moving geometries, the immersed boundary method based on volume penalization and selective frequency damping approach [J. Kou, E. Ferrer, A combined volume penalization/selective frequency damping approach for immersed…

流体动力学 · 物理学 2024-01-10 Jiaqing Kou , Esteban Ferrer

Flows in porous media in the low Reynolds number regime are often modeled by the Brinkman equations. Analytical solutions to these equations are limited to standard geometries. Finite volume or element schemes can be used in more…

流体动力学 · 物理学 2021-10-13 Suraj Kumar Kamarapu , Mehdi Jabbarzadeh , Henry Chien Fu

Simulating the interaction of fluids with immersed moving solids is playing an important role for gaining a better quantitative understanding of how fluid dynamics is altered by the presence of obstacles and which forces are exerted on the…

This paper presents eigensolution and non-modal analyses for immersed boundary methods (IBMs) based on volume penalization for the linear advection equation. This approach is used to analyze the behavior of flux reconstruction (FR)…

We present a volume penalization technique for simulating acoustically-actuated flows in geometrically complex microchannels. Using a perturbation approach, the nonlinear response of an acoustically-actuated compressible Newtonian fluid…

流体动力学 · 物理学 2026-02-10 Khemraj Gautam Kshetri , Amneet Pal Singh Bhalla , Nitesh Nama

We present a methodology for simulating three-dimensional flow of incompressible viscoplastic fluids modelled by generalised Newtonian rheological equations. It is implemented in a highly efficient framework for massively parallelisable…

流体动力学 · 物理学 2019-09-17 Knut Sverdrup , Ann Almgren , Nikolaos Nikiforakis

In topology optimization of fluid-dependent problems, there is a need to interpolate within the design domain between fluid and solid in a continuous fashion. In density-based methods, the concept of inverse permeability in the form of a…

数值分析 · 数学 2023-03-01 Mohamed Abdelhamid , Aleksander Czekanski

We develop a volume penalization method for inhomogeneous Neumann boundary conditions, generalizing the flux-based volume penalization method for homogeneous Neumann boundary condition proposed by Kadoch et al. [J. Comput. Phys. 231 (2012)…

数值分析 · 数学 2019-05-13 Teluo Sakurai , Katsunori Yoshimatsu , Naoya Okamoto , Kai Schneider

A conservative finite-volume framework, based on a collocated variable arrangement, for the simulation of flows at all speeds, applicable to incompressible, ideal-gas and real-gas fluids is proposed in conjunction with a fully-coupled…

计算物理 · 物理学 2020-03-03 Fabian Denner , Fabien Evrard , Berend van Wachem

We present projection-based mixed finite element methods for the solution of the unsteady Brinkman equations for incompressible single-phase flow with fixed in space porous solid inclusions. At each time step the method requires the…

数值分析 · 数学 2025-09-24 Costanza Aricò , Rainer Helmig , Ivan Yotov

We present and analyze a penalization method wich extends the the method of [1] to the case of a rigid body moving freely in an incompressible fluid. The fluid-solid system is viewed as a single variable density flow with an interface…

偏微分方程分析 · 数学 2009-01-15 Claire Bost , Georges-Henri Cottet , Emmanuel Maitre

The distribution of forces on the surface of complex, deforming geometries is an invaluable output of flow simulations. One particular example of such geometries involves self-propelled swimmers. Surface forces can provide significant…

流体动力学 · 物理学 2017-04-25 Siddhartha Verma , Gabriele Abbati , Guido Novati , Petros Koumoutsakos
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