Efficient computation of volume in flow predictions

Vinokur, Marcel; Kordulla, W.

doi:10.2514/3.8174

Cited by 49 publications

(5 citation statements)

References 2 publications

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“…In the three-dimensional case special care is required for the determination of the swept volumes since edges of CV surfaces can turn. Thus a segmentation into six tetrahedra possessing the same diagonal (Kordulla and Vinokur, 1983) is absolutely necessary in order to guarantee the correct prediction of the swept volumes.…”

Section: Numerical Methodology For Each Specific Fieldmentioning

confidence: 99%

Fluid–structure interaction using a partitioned semi-implicit predictor–corrector coupling scheme for the application of large-eddy simulation

Breuer¹,

Nayer²,

Münsch³

et al. 2012

Journal of Fluids and Structures

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The paper is concerned with an efficient partitioned coupling scheme developed for dynamic fluid-structure interaction problems in turbulent flows predicted by eddy-resolving schemes such as large-eddy simulation (LES). To account for the added-mass effect for high density ratios of the fluid to the structure, the semi-implicit scheme guarantees strong coupling among flow and structure, but also maintains the advantageous properties of explicit time-marching schemes often used for turbulence simulations. Thus by coupling an advanced LES code for the turbulent fluid flow with a code especially suited for the prediction of shells and membranes, an appropriate tool for the time-resolved prediction of instantaneous turbulent flows around light, thin-walled structures results. Based on an established benchmark case in laminar flow, i.e., the flow around a cylinder with an attached flexible structure at the backside, the entire methodology is analyzed thoroughly including a grid independence study. After this validation, the benchmark case is finally extended to the turbulent flow regime and predicted as a coupled FSI problem applying the newly developed scheme based on a predictor-corrector method. The entire methodology is found to be stable and robust. The turbulent flow field around the flexible structure and the deflection of the structure itself are analyzed in detail.

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Section: Numerical Methodology For Each Specific Fieldmentioning

confidence: 99%

Fluid–structure interaction using a partitioned semi-implicit predictor–corrector coupling scheme for the application of large-eddy simulation

Breuer¹,

Nayer²,

Münsch³

et al. 2012

Journal of Fluids and Structures

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“…The volume is the dependent on which diagonal is based on each face, since the diagonal of four non-planar points do not intersect. Kordulla and Vinokur method [18] had been used here to calculate cell volume. A system of ordinary differential equations can be obtained by applying Eq.…”

Section: Finite Volume Methodsmentioning

confidence: 99%

Comparative Studies of Aerodynamic Drag Using Inviscid Flow Computation and Newtonian Method at High Speed

R. C. Mehta,

S.B. Tiwari

2023

joast

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The flow field analysis over various reentry configurations is studied numerically by solving time-dependent compressible Euler equations. The governing fluid flow equations are discretized in spatial coordinates employing a finite volume approach, which reduces the equations to semi-discretized ordinary differential equations. Temporal integration is performed using multi-stage Runge-Kutta time stepping scheme. A local time step is used to achieve steady state solution. The numerical computation is carried out for freestream Mach number of 10.0 and angle of attack of 10.0 degree. The flow features around the blunt body are characterized by a bow shock wave, expansion wave and base flow region. The numerical scheme captures all the flow field features well. Comparisons of the flow field and surface pressure distribution results are made between different configurations of the blunt body capsules such as ARD (ESA’ s Atmospheric Reentry Demonstrator), Apollo II, MUSES-C, OREX (Orbital Reentry Experiments) with and without shoulder curvature and spherically blunted cone with flare angle of 30 and 35 degree. The inviscid analysis takes into consideration centrifugal force and expansion fan at the shoulder of the reentry capsules. The effects of the capsule geometry on the flow field may be useful for optimization of the reentry capsule. The Newtonian flow assumptions are used to calculate forebody aerodynamic drag for various blunt- bodies in conjunction with the NISA software. A comparison between CFD and the Newtonian flow assumptions for various reentry modules are made, and comparison shows an agreement between them.

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“…The error is thus a function of the chosen method for evaluating the volume of a computational cells because the volume of a cell with non‐planar faces is a non‐unique quantity (see e.g. ). In O pen FOAM , the volume error depicted in Figure leads to an equal change in the total volume of the computational domain.…”

Section: Test Casesmentioning

confidence: 99%

Mass conservation in computational morphodynamics: uniform sediment and infinite availability

Jacobsen

2015

Numerical Methods in Fluids

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SUMMARYComputational morphodynamics in finite volume methods are based on the evaluation of the rate of bed level change in the vertices on the deforming bed. With the use of finite volume methods on collocated (unstructured) grids, the rate of bed level change needs to be interpolated from the mesh faces to the vertices. First, this work reviews two methods based on a vectorial shape of the bed evolution equation (no scalar contributions from storage, erosion and deposition) in terms of their mass conserving properties. Second, a method that allows for scalar contributions in the bed evolution equation (the Exner equation) is proposed for general, unstructured meshes, and an analytical derivation for the simple one-dimensional problem on a non-equidistantly discretised grid is considered. The solution is compared with the general two-dimensional formulation. The two-dimensional formulation leads to the formulation of a geometric sand sliding routine on unstructured grids. The newly proposed interpolation method and the sand sliding routine are tested, and mass conservation of the sediment is considered with special emphasis on the effect of the solution accuracy for the suspended sediment transport. Discussions on other interpolation methods and their mass conserving properties are given with a special focus of the distance weighted interpolation method directly available and easily applied in OpenFOAM. Furthermore, effects from horizontal displacements of the vertices, explicit filtering of the evolving bed and morphological acceleration on global mass conservation, are discussed.

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Efficient computation of volume in flow predictions

Cited by 49 publications

References 2 publications

Fluid–structure interaction using a partitioned semi-implicit predictor–corrector coupling scheme for the application of large-eddy simulation

Fluid–structure interaction using a partitioned semi-implicit predictor–corrector coupling scheme for the application of large-eddy simulation

Comparative Studies of Aerodynamic Drag Using Inviscid Flow Computation and Newtonian Method at High Speed

Mass conservation in computational morphodynamics: uniform sediment and infinite availability

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