A pressure-corrected Immersed Boundary Method for the numerical simulation of compressible flows

Riahi, Hamza; Meldi, Marcello; Favier, Julien; Serre, Éric; Goncalves, Éric

doi:10.1016/j.jcp.2018.07.033

Cited by 33 publications

(45 citation statements)

References 40 publications

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“…More details about the algorithmic structure of rhoCentralFoam solver can be found in Ref. [13]. In our recent work [15], this solver has been combined with a diffused-interface IBM to simulate viscous compressible flows.…”

Section: Basic Solver In Openfoammentioning

confidence: 99%

“…The diffused-interface IBM can be regarded as a continuous forcing approach. The boundary is smeared by distributing a forcing term [10,12] and a source term [13] to the surrounding Cartesian grid points via a delta function [14]. After that, these two terms are added to the momentum equation and energy equation, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Our previous work [15] developed an implicit diffused-interface IBM based on variable correction for simulating compressible viscous flows over stationary and moving bodies. The significant advantage of diffused-interface IBM is that it is formulated independent of the spatial discretization, and it simplifies the implementation into an existing fluid solver, just like [12,13].…”

Section: Introductionmentioning

confidence: 99%

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A Sharp-Interface Immersed Boundary Method for Simulating High-Speed Compressible Inviscid Flows

Wang

2020

Preprint

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This paper presents a robust sharp-interface immersed boundary method for simulating inviscid compressible flows over stationary and moving bodies. The flow field is governed by Euler equations, which are solved by using the open source library OpenFOAM. Discontinuities such as those introduced by shock waves are captured by using Kurganov and Tadmor divergence scheme. Wall-slip boundary conditions are enforced at the boundary of body through reconstructing flow variables at some ghost points. Their values are obtained indirectly by interpolating from their mirror points. A bilinear interpolation is employed to determine the variables at the mirror points from boundary conditions and flow conditions around the boundary. To validate the efficiency and accuracy of this method for simulation of high-speed inviscid compressible flows, four cases have been simulated as follows: supersonic flow over a 15\(^\circ\) angle wedge, transonic flow past a stationary airfoil, a piston moving with supersonic velocity in a shock tube and a rigid circular cylinder lift-off from a flat surface triggered by a shock wave. Compared to the exact analytical solutions or the results in literature, good agreement can be achieved.

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Section: Basic Solver In Openfoammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Sharp-Interface Immersed Boundary Method for Simulating High-Speed Compressible Inviscid Flows

Wang

2020

Preprint

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“…In case of fluid flow around the thin object, the solution may present a situation in which simulated vibrations occur within the calculated pressure (Bailoor, Annangi, Seo, & Bhardwaj, 2017;Boukharfane, Eugênio Ribeiro, Bouali, & Mura, 2018;Horng, Hsieh, Yang, & You, 2018). These vibrations are occasionally considered IBM features; however, such effects can be eliminated or drastically reduced by applying a second-stage correction to the calculated pressure (Frantzis & Grigoriadis, 2019;Griffith & Luo, 2017;Lee & LeVeque, 2003;Riahi, Meldi, Favier, Serre, & Goncalves, 2018;Sotiropoulos & Yang, 2014;Ya, Takeuchi, & Kajishima, 2007). This technique is a relevant improvement, particularly for the FSI numerical simulations of thick structures (such as shells) and other thin interfaces that pose a major challenge to generating FSI solutions with IBM (Wang, Yan, & Tian, 2017).…”

Section: Introductionmentioning

confidence: 99%

Thin and sharp edges bodies-fluid interaction simulation using cut-cell immersed boundary method

Salih

Aldlemy

Rasani

et al. 2019

Engineering Applications of Computational Fluid Mechanics

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This study aims to develop an adaptive mesh refinement (AMR) algorithm combined with Cut-Cell IBM using two-stage pressure-velocity corrections for thin-object FSI problems. To achieve the objective of this study, the AMR-immersed boundary method (AMR-IBM) algorithm discretizes and solves the equations of motion for the flow that involves rigid thin structures boundary layer at the interface between the structure and the fluid. The body forces are computed in proportion to the fraction of the solid volume in the IBM fluid cells to incorporate fluid and solid motions into the boundary. The corrections of the velocity and pressure is determined by using a novel simplified marker and cell scheme. The new developed AMR-IBM algorithm is validated using a benchmark data of fluid past a cylinder and the results show that there is good agreement under laminar flow. Simulations are conducted for three test cases with the purpose of demonstration the accuracy of the AMR-IBM algorithm. The validation confirms the robustness of the new algorithms in simulating flow characteristics in the boundary layers of thin structures. The algorithm is performed on a staggered grid to simulate the fluid flow around thin object and determine the computational cost.

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“…In addition, the IBM was extended into compressible flow simulations by Ghias et al In addition, Takahashi et al and Luo et al proposed the simplified IBM for compressible viscous flow based on the IBM by Mittal et al Furthermore, the immersed boundary‐lattice Boltzmann method (IB‐LBM) was proposed by Feng and Michaelides . Recent works related to the IBM are mostly confirmed in the applications, such as fluid‐motion coupled simulation of a falling plate by Lau et al and fluid‐structure coupled analysis of an elastic object in a compressible flow by Kim et al Furthermore, progressive achievements related to the IBM are confirmed in studies of turbulent simulation with LBM by Xu et al, application to aeroacoustics problem by Schlanderer et al, and implementation to OpenFOAM by Riahi et al…”

Section: Introductionmentioning

confidence: 99%

A simple collision algorithm for arbitrarily shaped objects in particle‐resolved flow simulation using an immersed boundary method

Nagata

Hosaka

Takahashi

et al. 2020

Numerical Methods in Fluids

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Summary In the present study, we proposed a simple collision algorithm, which can be handled arbitrarily shaped objects, for flow solvers using the immersed boundary method (IBM) based on the level set and ghost cell methods. The proposed algorithm can handle the collision of the arbitrarily shaped object with little additional computational costs for the collision calculation because collision detection and calculation are performed using the level set function and image point, which are incorporated into the original IBM solver. The proposed algorithm was implemented on the solid‐liquid IBM flow solver and validated by simulations of the flow over an isolated cylinder and sphere. Also, grid and time step size sensitivity on the total energy conservation of objects were investigated in cylinder‐cylinder, cylinder‐red‐blood‐cells‐shaped (RBC‐shaped) objects, sphere‐sphere, and sphere‐flat plate interaction problems. Through validation, good agreement with previous studies, grid and time step size convergence, and sufficient total energy conservation were confirmed. As a demonstration, the drafting, kissing, and tumbling processes were computed, and it was confirmed that the present result by the proposed method is similar to the previous computations. In addition, particle‐laden flow in a channel including obstacles with collision and adhesion phenomena and the interaction of cylinders and wavy‐wall were computed. The results of these simulations reveal the capability of solving a flow containing arbitrarily shaped moving objects with collision phenomena by a simple proposed method.

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A pressure-corrected Immersed Boundary Method for the numerical simulation of compressible flows

Abstract: The development of an improved new IBM method is proposed in the present article. This method roots in efficient proposals developed for the simulation of

Cited by 33 publications

References 40 publications

A Sharp-Interface Immersed Boundary Method for Simulating High-Speed Compressible Inviscid Flows

A Sharp-Interface Immersed Boundary Method for Simulating High-Speed Compressible Inviscid Flows

Thin and sharp edges bodies-fluid interaction simulation using cut-cell immersed boundary method

A simple collision algorithm for arbitrarily shaped objects in particle‐resolved flow simulation using an immersed boundary method

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