Fast dynamic grid deformation based on Delaunay graph mapping

Liu, Xueqiang; Qin, Ning; Xia, Hao

doi:10.1016/j.jcp.2005.05.025

Cited by 224 publications

(116 citation statements)

References 28 publications

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“…An alternative method to apply dynamic grid deformation, which is also implemented in this study, is based on a Delaunay graph mapping [21]. This is achieved in the following manner: First, using a Delaunay triangulation [43], the boundary discretization is generated.…”

Section: Dynamic Grid Deformationmentioning

confidence: 99%

“…Three further components are required to resolve the problem; firstly, a technique for transferring information at the interface, which guarantees the conservation of the system. Secondly, a non-expensive numerical strategy for the movement of the referential fluid mesh [19][20][21] and, finally, a robust and efficient solution procedure to ensure an accurate coupling of the system. Two main techniques have emerged within the ALE methods for FSI: monolithic methods and partitioned methods.…”

Section: Introductionmentioning

confidence: 99%

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A partitioned coupling approach for dynamic fluid–structure interaction with applications to biological membranes

Wood

Gil

Hassan

et al. 2008

Numerical Methods in Fluids

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SUMMARYThis paper presents a fully coupled three-dimensional solver for the analysis of time-dependent fluidstructure interaction. A partitioned time-marching algorithm is employed for the solution to the timedependent coupled discretized problem, thus enabling the use of highly developed, robust and well-tested solvers for each field. Coupling of the fields is achieved through a conservative transfer of information at the fluid-structure interface. An implicit coupling is achieved when the solutions to the fluid and structure subproblems are cycled at each time step until convergence is reached. The three-dimensional unsteady incompressible fluid is solved using a powerful implicit dual time-stepping technique with an explicit multistage Runga-Kutta time stepping in pseudo-time and arbitrary Lagrangian-Eulerian formulation for the moving boundaries. A finite element dynamic analysis of the highly deformable structure is carried out with a numerical strategy combining the implicit Newmark time integration algorithm with a NewtonRaphson second-order optimization method. Various test cases are presented for benchmarking and to demonstrate the potential applications of this method.

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Section: Dynamic Grid Deformationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A partitioned coupling approach for dynamic fluid–structure interaction with applications to biological membranes

Wood

Gil

Hassan

et al. 2008

Numerical Methods in Fluids

View full text Add to dashboard Cite

show abstract

“…For a point p, search the triangular which contain this point and calculate the surface or volume coordinates as equation (5), (6). The key step in Delaunay method is moving the Delaunay triangular base on boundary deformation.…”

Section: Delaunay Methodsmentioning

confidence: 99%

“…Delaunay method is a common rule in meshing which applied in computer graphics mostly. In 2006 LIU [6] introduced Delaunay method in mesh motion. By adding some auxiliary boundary points, XIAO Tian Hang [7] improved this method further.…”

Section: Introductionmentioning

confidence: 99%

A Comparison of Two Dynamic Mesh Methods in Fluid –Structure Interaction

Huan¹,

Sun²

2012

Proceedings of the 2nd International Conference on Electronic and Mechanical Engineering and Information Technology (2012)

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Abstract. Two dynamic mesh methods-Radial Basis Function (RBF) method and Delaunay method which have been used widely in fluid-structure interaction recently were compared. Primarily, the basic theory of these two methods and the dynamic mesh process were presented. Furthermore, using the variable bandwidth sparse matrix storage technique, the computational efficiency of the RBF method can be improved. Taking ONERA M6 wing as an example, the mesh quality and computation time of the mesh motion after the airfoil rotation and wing deformation were checked. The results show that RBF method generate a better quality mesh in both structure and unstructured mesh while Delaunay method performed high efficiency, especially when the node number of the wing surface is large.

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“…On the other hand, the algebraic methods compute the movement of grid nodes as a function of boundary nodes which has no actually attached physical meaning. Sample of algebraic methods that have been reported in the literature include: Inverse Distance Weighting Interpolation [4], Delaunay Mapping [5], and Radial Basis Function Interpolation [6]. Among these mesh deformation techniques, the physical spring analogy method is the most commonly used.…”

Section: Introductionmentioning

confidence: 99%

Comparison of various spring analogy related mesh deformation techniques in two-dimensional airfoil design optimization

Yang

Özgen

2017

Progress in Flight Physics

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During the last few decades, CFD (Computational Fluid Dynamics) has developed greatly and has become a more reliable tool for the conceptual phase of aircraft design. This tool is generally combined with an optimization algorithm. In the optimization phase, the need for regenerating the computational mesh might become cumbersome, especially when the number of design parameters is high. For this reason, several mesh generation and deformation techniques have been developed in the past decades. One of the most widely used techniques is the Spring Analogy. There are numerous spring analogy related techniques reported in the literature: linear spring analogy, torsional spring analogy, semitorsional spring analogy, and ball vertex spring analogy. This paper gives the explanation of linear spring analogy method and angle inclusion in the spring analogy method. In the latter case, two di¨erent solution methods are proposed. The best feasible method will later be used for two-dimensional (2D) Airfoil Design Optimization with objective function being to minimize sectional drag for a required lift coe©cient at di¨erent speeds. Design variables used in the optimization include camber and thickness distribution of the airfoil. SU2 CFD is chosen as the §ow solver during the optimization procedure. The optimization is done by using Phoenix ModelCenter Optimization Tool.

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Fast dynamic grid deformation based on Delaunay graph mapping

Cited by 224 publications

References 28 publications

A partitioned coupling approach for dynamic fluid–structure interaction with applications to biological membranes

A partitioned coupling approach for dynamic fluid–structure interaction with applications to biological membranes

A Comparison of Two Dynamic Mesh Methods in Fluid –Structure Interaction

Comparison of various spring analogy related mesh deformation techniques in two-dimensional airfoil design optimization

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