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

Ortega, Enrique; Oñate, Eugenio; Idelsohn, Sergio; Flores, Roberto

doi:10.1002/fld.3799

Cited by 18 publications

(10 citation statements)

References 33 publications

(61 reference statements)

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“…good quality and automated mesh generation for complex geometries with sharp edges [33], replace the traditionally used grid by a dense cloud of points based on which conservation laws can be discretized [34]. Whilst connectivity information is inherently lost, more programming effort is needed compared to traditional meshbased methods since there is still the need for finding the neighbours which lie within the domain of influence of each node [35], which can be a very time consuming task.…”

Section: Background a Existing Unsteady Cfd Meshing Methodsmentioning

confidence: 99%

Conservative Unsteady Simulation of Arbitrary Motion in Two-dimensional Spacetime Using Central Difference, Upwind and Hybrid Formulations

Ederra

Rendall

Gaitonde

et al. 2017

23rd AIAA Computational Fluid Dynamics Conference

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General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms A spacetime framework is presented to solve unsteady aerodynamics problems as an alternative to conventional approaches for complex problems involving large deformation or topological change such as store separation, slat and flap deployment or spoiler deflection. It avoids complex CFD meshing methods, such as Chimera, by the use of a finite-volume approach both in space and time. The use of a central-difference scheme in the time direction yields non-physical transient solutions as a consequence of pressure waves travelling backwards in time. Therefore, an upwind formulation is provided and validated against one-dimensional test cases: a semi-infinite piston and a finite piston with a sharp change in direction. Also a hybrid formulation is given and several two-dimensional unsteady aerodynamics cases are computed with all three formulations and compared, demonstrating that the use of an upwind time stencil yields more representative physical solutions and improves the rate of convergence. In particular, the following problems are presented: a pitching NACA-0012 (periodic); a simple flap deflection; a spoiler deployment; a full landing case with a combination of slat, flap and spoiler deployments along with ground effect; and a case where aerofoils fly in opposite directions at subsonic and supersonic speeds.

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Section: Background a Existing Unsteady Cfd Meshing Methodsmentioning

confidence: 99%

Conservative Unsteady Simulation of Arbitrary Motion in Two-dimensional Spacetime Using Central Difference, Upwind and Hybrid Formulations

Ederra

Rendall

Gaitonde

et al. 2017

23rd AIAA Computational Fluid Dynamics Conference

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“…The reason is that replacing and moving points are much simpler than changing or replacing the edges and volumes. Another attractive property of meshless methods is the ability of adding and subtracting nodes from the pre-existing nodes [16]. There are di erent grid adaptation methods that normally fall in three categories of grid movement, grid re nement/coarsening, and re-gridding strategies.…”

Section: Introductionmentioning

confidence: 99%

A comparative study of various adaptive meshless methods for steady and unsteady flow calculations

Sattarzadeh

Jahangirian

2016

Scientia Iranica

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Three di erent adaptive methods are presented for meshless calculation of steady and unsteady ows. Two approaches of point re nement/coarsening and point movement have their ground in the mesh-based methods that, in the present work, are extended for meshless calculations. However, the third approach is a new concept, socalled adaptive neighboring scheme, that concerns the optimum selection of the neighbors for each point in the meshless framework. This means that the selection of the neighboring region for each particular point is a ected by the ow features in the domain. In this paper, an explicit meshless method based on the least square scheme is used. The results are presented for di erent steady and unsteady ows and the e ciency of the methods in terms of computational cost and accuracy is investigated. It is observed that using these adaptive approaches decrease the computational cost of the method by about 60% as compared with the un-adapted results while improving the accuracy of results at the same time.

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“…Until now, these aforementioned research works of meshless methods for steady and unsteady flows past fixed solid bodies have mostly been carried out with serial computing on a single core of the CPU. On the other hand, Ortega et al [10,11] paid attention to the parallelisation of the finite point method on multi-core CPUs with the OpenMP programming model. They observed unsatisfactory scalability problems and pointed out that attainable speedups on multi-core CPUs will drop once the number of processor cores is over 4 due to the high cache miss rate and 2 limited memory bandwidth of CPU.…”

Section: Introductionmentioning

confidence: 99%

A parallel meshless dynamic cloud method on graphic processing units for unsteady compressible flows past moving boundaries

Wang

2015

Computer Methods in Applied Mechanics and Engineering

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This paper presents an effort to implement a recently proposed meshless dynamic cloud method [Hong Wang et al. A study of gridless method with dynamic clouds of points for solving unsteady CFD problems in aerodynamics, Int. J. Numer. Meth. Fluids 2010; 64: 98-118] on modern high-performance graphic processing units (GPUs) with the compute unified device architecture (CUDA) programming model. Within the framework of the meshless method, clouds of points used as basic computational stencils are distributed in the whole flow domain. The spatial derivatives of the governing equations are discretised by the moving-least square scheme on every cloud of points. Roe's approximate Riemann solver is adopted to compute the convective flux. A dual-time stepping approach, which iterates in physical and pseudo temporal spaces, is employed to obtain the time-accurate solution. Simulation of steady compressible flows over a fixed aerofoil is firstly carried out to verify the GPU implementation of the method. Then it is extended to compute unsteady flows past oscillatory aerofoils. Numerical outcomes are compared with experimental and/or other reference results to validate the method. Significant performance speedup of more than an order of magnitude is verified by the numerical results. Systematic analysis shows that GPU is more energy efficient than CPU for solving aerodynamic problems. This demonstrates the potential of the proposed method to solve fluid-structure interaction problems.

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

Cited by 18 publications

References 33 publications

Conservative Unsteady Simulation of Arbitrary Motion in Two-dimensional Spacetime Using Central Difference, Upwind and Hybrid Formulations

Conservative Unsteady Simulation of Arbitrary Motion in Two-dimensional Spacetime Using Central Difference, Upwind and Hybrid Formulations

A comparative study of various adaptive meshless methods for steady and unsteady flow calculations

A parallel meshless dynamic cloud method on graphic processing units for unsteady compressible flows past moving boundaries

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