A novel mesh regeneration algorithm for 2D FEM simulations of flows with moving boundary

Yang, F. L.; Chen, C. H.; Young, D. L.

doi:10.1016/j.jcp.2011.01.008

Cited by 10 publications

(7 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These parameters are henceforth adopted as default values unless otherwise stated. In Table 6, we summarise our results and compare them with the existing data (Wei, Sekine, and Shimura 1995;Schulz and Kallinderis 1998;Li, Sherwin, and Bearman 2002;Abdullah et al 2005;Dettmer and Perić 2006;Yang, Preidikman, and Balaras 2008;Yang, Chen, and Young 2011). A good agreement between the present and previous data is realised from Table 6, making no difference to both coupling schemes.…”

Section: Boxsupporting

confidence: 65%

“…Owing to the complexity of VIV and various approaches people used, there exists some scatter between the obtained results (Anagnostopoulos and Bearman 1992;Anagnostopoulos 1994;Nomura 1994;Wei, Sekine, and Shimura 1995;Schulz and Kallinderis 1998;Dettmer and Perić 2006;Yang, Preidikman, and Balaras 2008;Bahmani and Akbari 2010;Yang, Chen, and Young 2011;Nagaoka et al 2011;He, Zhou, and Bao 2012), as shown in Figure 3. Different frequency ratios have been found in the published papers, for example, f v f n (Dettmer and Perić 2006), f o f n (Yang, Preidikman, and Balaras 2008) and (Yang, Chen, and Young 2011), where f o is the oscillation frequency of the cylinder. The readers can consult the review presented by Sarpkaya (2004) for the elaborate definition and clarification of several crucial nomenclature and concepts in VIV.…”

Section: Boxmentioning

confidence: 99%

See 1 more Smart Citation

Partitioned subiterative coupling schemes for aeroelasticity using combined interface boundary condition method

Zhou

Han

et al. 2014

International Journal of Computational Fluid Dynamics

View full text Add to dashboard Cite

The combined interface boundary condition (CIBC) method has been recently proposed for fluid-structure interaction. The CIBC method employs a Gauss-Seidel-like procedure to transform traditional interface conditions into velocity and traction corrections whose effect is controlled by a dimensional parameter. However, the original CIBC method has to invoke the uncorrected traction when forming the traction correction. This process limits its application to fluid-rigid body interaction. To repair this drawback, a new formulation of the CIBC method has been developed by using a new coupling parameter. The reconstruction is simple and the structural traction is removed completely. Two partitioned subiterative coupling versions of the CIBC method are developed. The first scheme is an implicit strategy while the second one is a semi-implicit strategy. Iterative loops are actualised by the fixed-point algorithm with Aitken accelerator. The obtained results agree with the well-documented data, and some famous flow phenomena have been successfully detected.Keywords: fluid-structure interaction; aeroelasticity; partitioned subiterative coupling scheme; finite element method; combined interface boundary condition method IntroductionIn real life, fluid-structure interaction (FSI) contains the sophisticated principles of mathematics and the abundant essences of physics. Today, FSI has become one of the most challenging topics in computational fluid dynamics and has received a great deal of attention. It is a frequent issue in a rich variety of engineering realms such as civil engineering, ocean engineering, aerospace engineering, mechanical engineering and biomedical engineering. A major paradigm of FSI concerns the aeroelasticity, of which a typical application is the interplay of natural wind with a high-rise building or a suspension bridge in civil engineering. In this case, a catastrophe is likely to occur if failing to consider the FSI effect. The old Tacoma Narrows Bridge in the 1940s is the most well-known example. As a consequence, FSI is a significant consideration for the design of some practical structures.Except for the most simplified cases, FSI is too complicated (i.e. high nonlinearity and uncertainty) to be solved analytically. Instead, it has to be analysed by means of physical or numerical experiments. For numerical researches, FSI comprises three ingredients: computational fluid dynamics, computational structural dynamics and computational mesh dynamics (Wall and Ramm 1998); or, in other words, it is dominated by a three-field nonlinear formulation (Farhat, Lesoinne, and Maman 1995). Of these fields, the scientific

show abstract

Section: Boxsupporting

confidence: 65%

Section: Boxmentioning

confidence: 99%

Partitioned subiterative coupling schemes for aeroelasticity using combined interface boundary condition method

Zhou

Han

et al. 2014

International Journal of Computational Fluid Dynamics

View full text Add to dashboard Cite

show abstract

“…(C) FIGURE 19 An example demonstrating the application of um to meshing evolving domains immersed in the same background mesh. The family of domains shown is defined implicitly with SSD functions to point clouds that are mapped according to the wave-like motion defined in (12). The time instants chosen are indicated in (C).…”

Section: Meshing a Deforming Domain: Bird Flight In A Universal Meshmentioning

confidence: 99%

“…In Equation (12), the displacement along the y coordinate is composed of two parts-the first term proportional to (cos x − 1) sin t mimics a flapping motion of the wings, while the second term proportional to sin z cos t represents a yaw motion of the body. The specific constants appearing in Equation (12) are chosen to realize a reasonable motion of  0 . The family of domains {Ω t } t to be meshed is now defined implicitly using the SSD functions to the point clouds { t } t .…”

Section: Meshing a Deforming Domain: Bird Flight In A Universal Meshmentioning

confidence: 99%

“…Transforming the task of meshing a domain (Ω) into one of constructing a bijective mapping (M h ) over a subset of elements ( h ) in a background mesh ( ) provides an appealing perspective to the meshing problem. Although not new, 11,12 designing robust methods for constructing such mappings remains challenging. In particular, injectivity of M h is essential to avoid degenerate, inverted and overlapping elements but is difficult to establish a priori.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An algorithm for triangulating smooth three‐dimensional domains immersed in universal meshes

Rangarajan

Kabaria

Lew

2018

Numerical Meth Engineering

View full text Add to dashboard Cite

We describe an algorithm to recover a boundary-fitting triangulation for a bounded C 2 -regular domain Ω ⊂ R 3 immersed in a nonconforming background mesh of tetrahedra. The algorithm consists in identifying a polyhedral domain h bounded by facets in the background mesh and morphing h into a boundary-fitting polyhedral approximation Ω h of Ω. We discuss assumptions on the regularity of the domain, on element sizes and on specific angles in the background mesh that appear to render the algorithm robust. With the distinctive feature of involving just small perturbations of a few elements of the background mesh that are in the vicinity of the immersed boundary, the algorithm is designed to benefit numerical schemes for simulating free and moving boundary problems. In such problems, it is now possible to immerse an evolving geometry in the same background mesh, called a universal mesh, and recover conforming discretizations for it. In particular, the algorithm entirely avoids remeshing-type operations and its complexity scales approximately linearly with the number of elements in the vicinity of the immersed boundary. We include detailed examples examining its performance. KEYWORDSbackground meshes, evolving boundary, immersed boundary, mesh relaxation, moving mesh, 3D meshing 84

show abstract

An Overview of the Combined Interface Boundary Condition Method for Fluid–Structure Interaction

Zhang

2016

Arch Computat Methods Eng

View full text Add to dashboard Cite

A novel mesh regeneration algorithm for 2D FEM simulations of flows with moving boundary

Cited by 10 publications

References 34 publications

Partitioned subiterative coupling schemes for aeroelasticity using combined interface boundary condition method

Partitioned subiterative coupling schemes for aeroelasticity using combined interface boundary condition method

An algorithm for triangulating smooth three‐dimensional domains immersed in universal meshes

An Overview of the Combined Interface Boundary Condition Method for Fluid–Structure Interaction

Contact Info

Product

Resources

About