A block LU-SGS implicit dual time-stepping algorithm for hybrid dynamic meshes

Hybrid grid generation for viscous flow analysis

“…Zhang et al [5] Quad/Tri/Cartesian Advancing front method 2D Wang et al [6] Hexa/Tetra Advancing front method 3D Khawaja et al [10,11] Prism/Tetra Automatic receding 3D C advancing front method Dawes et al [8,9] Hexa/Cartesian Level set method 3D Gloth et al [12] Quad/Tri/Cartesian Level set method 2D Pattinson et al [13] Cartesian Cut-cell, dual-mesh 2D Ebeida et al [3] Quad/Tri Spatial decomposition We assume that the input object is given as a piecewise linear representation, such as the point sequence curves in 2D and triangular meshes in 3D. Let B = { 1 .…”

“…The pros and cons of each type are well discussed in the literatures such as Baker [2]. For this reason, a hybrid mesh consisting of a body-fitted structured mesh layer and an unstructured background mesh has gained the attention of CFD researchers for viscous flow analysis in recent years [3][4][5][6][7][8][9][10][11][12][13] including its use in several commercially available software programs such as VisCART, Harpoon, and GDT. However, a structured grid makes unnecessarily dense elements in areas far from focal objects to achieve the resolution required in the critical part of the domain.…”

“…In [5][6][7], Wang and his colleagues reported their work on solving the moving body problem using a hybrid grid with quadrangle/triangle/Cartesian elements, as is the target of this paper. In [5][6][7], Wang and his colleagues reported their work on solving the moving body problem using a hybrid grid with quadrangle/triangle/Cartesian elements, as is the target of this paper.…”

Developing a unified FVE‐ALE approach to solve unsteady fluid flow with moving boundaries

“…Moreover, the ALE rezoning and remapping steps are computationally expensive and additional treatments in removing or limiting them can effectively enhance the efficiency of a standard ALE approach. For example, Zhang et al [8,9] developed a dynamic hybrid grid approach to improve their mesh with minimal local rezoning and remapping requirements. They used the spring-analogy method to deform their triangular meshes.…”

“…Both of these shapes can simultaneously appear in a hybrid mesh [18]. In the flow fields with moving boundary or deformable mesh, the use of a hybrid mesh is very advantageous [8,9]. First, it uses the flexibility of unstructured triangular…”