A self-adaptive-grid method with application to airfoil flow

Mesh Strategies for Accurate Computation of Unsteady Spoiler and Aeroelastic Problems

“…They also require storage only for each of the six computationalboundaries.Linear spring stiffness allows the possibility of grid point crossings, but because this is a restricted case of the general problemof grid lines crossing,the better solution is the addition of nonlinear torsion stiffness. 8,9 This can be added to the present spring stiffness at a future time. Finally, note that the axial stiffness approach used here results in smoothing of the mesh and also allows adaptation based on the ow solution.…”

“…7 Recent mesh deformation algorithm development has emphasized the robustness and ef ciency necessary for coupled structure-uid time-marching computations. 8,9 However, in the discussion of uid-structure coupling, often the convergence of the uid domain, as a distinctly separate issue from the coupling, is not speci cally addressed.…”

Shock wave detection in two-dimensional flow based on the theory of characteristics from CFD data

“…Such a method can also be applied to CFD techniques that require the information about the shock position, such as a solution adaptive technique [1]. Thus, such a method is useful not only as a visualization technique but also as a flow analysis technique.…”

An r-Adaptive Technique for Unstructured Grids Based on the Segment Spring Analogy Method

“…In Gnoffo's work, structured grids are replaced by tension springs, and the spring stiffness is defined as a function of the gradient of certain flow property so that more nodes could be "pulled" to the regions with higher gradient. Subsequently, Nakahashi and Deiwert [1985;1987a;1987b] introduced torsion springs into Gnoffo's spring model to increase the orthogonality of the structured grids, and Ait-Ali-Yahia et al [1996] and Taghaddosi et al [1997] combined the vertex spring analogy method with an edge-based error estimator and developed a directionally adaptive finite element method for quadrilateral grids. From these work, it was found that the vertex spring analogy method is very effective for both 2D and 3D structured grids.…”

“…Hence, in the last few decades the adaptive-grid method has attracted great attention in the computational mechanics community and combined widely with the traditional methods such as the finite difference method [Nakahashi and Deiwert (1985, 1987a, 1987b; Luchini (1987)], finite element method ; Zhang et al (2008); Nguyen-Thoi et al (2011); Xu et al (2010); Li et al (2011);Nguyen-Xuan et al (2013)], finite volume method [Gnoffo (1983); Kallinderis (1996); Hu et al (2002); Lan et al (2002); Hajibeygi and Jenny (2011)] and meshfree method [Liu and Tu (2002); Liu et al (2006); Kee et al (2007Kee et al ( , 2008 ;Tang et al (2012)]. …”