An efficient conservative cut-cell method for rigid bodies interacting with viscous compressible flows

Schneiders, Lennart; Günther, Claudia; Meinke, Matthias; Schröder, Wolfgang

doi:10.1016/j.jcp.2016.01.026

Cited by 107 publications

(49 citation statements)

References 79 publications

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“…2.2. Numerical set-up Hierarchically refined Cartesian meshes are used to discretize the system of equations (2.1) and a second-order-accurate finite-volume solver is applied, which has been described and validated in a series of papers for compressible and nearly incompressible flows (Hartmann, Meinke & Schröder 2008, 2011Schneiders et al 2013Schneiders et al , 2016. The inviscid fluxes are computed by an upwind-biased scheme and the numerical dissipation is reduced by the reconstruction method of Thornber et al (2008).…”

Section: Mathematical Modelmentioning

confidence: 99%

Correlations for inclined prolates based on highly resolved simulations

2020

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Section: Mathematical Modelmentioning

confidence: 99%

Correlations for inclined prolates based on highly resolved simulations

2020

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“…Then the piston is given a sudden velocity with 2.0 Ma = . The same problem has also been simulated in previous studies [17,18,27], and it has an analytical solution. is the reference pressure.…”

Section: Solution Proceduresmentioning

confidence: 99%

“…On the other hand, the sharp-interface IBM can be regard as a discrete forcing approach, in which the boundary is precisely tracked. It includes cut-cell method [17,18], Cartesian IB method [11,19], and ghost-cell method [8,9]. Among these methods, the cut-cell method can obtain the clearest interface.…”

Section: Introductionmentioning

confidence: 99%

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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“…In addition, particle‐resolved DNS has been applied to compressible flow simulations. Schneiders et al developed an efficient cut‐cell method for rigid bodies interacting with the viscous compressible flow, and they computed particle‐laden isotropic turbulence. Das et al applied a Cartesian grid‐based sharp interface method for the compressible particle‐laden flow, and they demonstrated the interaction of a particle cloud and planar shock.…”

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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An efficient conservative cut-cell method for rigid bodies interacting with viscous compressible flows

Cited by 107 publications

References 79 publications

Correlations for inclined prolates based on highly resolved simulations

Correlations for inclined prolates based on highly resolved simulations

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

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

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