An implicit meshless method for application in computational fluid dynamics

Kennett, David; Timme, Sebastian; Angulo, J. C.; Badcock, K. J.

doi:10.1002/fld.3698

Cited by 34 publications

(32 citation statements)

References 32 publications

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“…Potential improvements to the current solution scheme should be also explored. As recent meshless implementations have shown [43][44][45], the application of some convergence acceleration concepts, such as implicit approaches and meshless multigrid, could bring about important benefits to the present FPM technique.…”

Section: Discussionmentioning

confidence: 99%

A meshless finite point method for three‐dimensional analysis of compressible flow problems involving moving boundaries and adaptivity

Ortega

Oñate

Idelsohn

et al. 2013

Numerical Methods in Fluids

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This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.A finite point method for solving compressible flow problems involving moving boundaries and adaptivity is presented. The numerical methodology is based on an upwind-biased discretization of the Euler equations, written in arbitrary Lagrangian–Eulerian form and integrated in time by means of a dual-time steeping technique. In order to exploit the meshless potential of the method, a domain deformation approach based on the spring network analogy is implemented, and h-adaptivity is also employed in the computations. Typical movable boundary problems in transonic flow regime are solved to assess the performance of the proposed technique. In addition, an application to a fluid–structure interaction problem involving static aeroelasticity illustrates the capability of the method to deal with practical engineering analyses. The computational cost and multi-core performance of the proposed technique is also discussed through the examples provided.Peer ReviewedPostprint (author's final draft

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Section: Discussionmentioning

confidence: 99%

A meshless finite point method for three‐dimensional analysis of compressible flow problems involving moving boundaries and adaptivity

Ortega

Oñate

Idelsohn

et al. 2013

Numerical Methods in Fluids

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“…The generation of snapshots to obtain the POD basis as well as the computation of the full-order reference solution is done with an in-house, semi-meshless Navier-Stokes flow solver [14,15] coupled with the Spalart-Allmaras turbulence model [16]. Convective fluxes are discretised using upwind schemes, specifically the Osher solver for the mean flow equations [17].…”

Section: Computational Fluid Dynamics Solvermentioning

confidence: 99%

Reduced Order Modelling of Gust Analysis Using Computational Fluid Dynamics

Thormann¹,

Bekemeyer²,

Timme³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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“…The solver is summarised in Ref. 15 The unknowns are stored at each (star) point, and a cloud of surrounding points is defined for the spatial discretisation. The definition of this stencil is a non-trivial problem which is solved using the method described in Ref., 16 which exploits information from point connectivity in underlying component meshes to guide the search ellipses for the stencil.…”

Section: Iia3 Computational Fluid Dynamicsmentioning

confidence: 99%

Assessing the Impact of Aerodynamic Modelling on Manoeuvring Aircraft

Ronch

McCracken

Tantaroudas

et al. 2014

AIAA Atmospheric Flight Mechanics Conference

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This paper investigates the impact of aerodynamic models on the dynamic response of a free-flying aircraft wing. Several options for the aerodynamics are evaluated, from two-dimensional thin aerofoil aerodynamics and unsteady vortex-lattice method up to computational fluid dynamics. A nonlinear formulation of the rigid body dynamics is used in all cases. Results are generated using a numerical framework that will allow in the near future multi-disciplinary fluid/structure/flight analysis. In this paper, flexibility effects are neglected. A validation for fluid/flight models is presented. The well-established approach based on stability derivatives is also used, and is found in good agreement with solutions obtained from linear aerodynamic models. The uncertainties in predicted trajectories of the free-flying wing are, in general, large and attributed to the aerodynamics only. This suggests that a careful control law synthesis should be done to account for uncertainties from modelling techniques.

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An implicit meshless method for application in computational fluid dynamics

Cited by 34 publications

References 32 publications

A meshless finite point method for three‐dimensional analysis of compressible flow problems involving moving boundaries and adaptivity

A meshless finite point method for three‐dimensional analysis of compressible flow problems involving moving boundaries and adaptivity

Reduced Order Modelling of Gust Analysis Using Computational Fluid Dynamics

Assessing the Impact of Aerodynamic Modelling on Manoeuvring Aircraft

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