An enhanced 3D data transfer method for fluid–structure interface by ISOMAP nonlinear space dimension reduction

Comparison of manifold learning algorithms used in FSI data interpolation of curved surfaces

“…There are no direct connection between the CFD mesh and the CSM mesh. The CFD mesh and the CSM mesh is not consistent at the interface (De Boer and Van Zuijlen, 2008;Li et al, 2007Li et al, , 2015Harder and Desmarais, 1972;Smith et al, 2000;Appa, 1989;Duchon, 2006;Hardy, 1971;Zong-Min, 2002;Jiao and Heath, 2004;Jaiman et al, 2006;Boer et al, 2007;Goura et al, 2001;Farrell et al, 2009). The thing known is that the nodes of the CFD mesh and the nodes of the CSM mesh are in the interface.…”

“…In this condition, to couple the meshes together, data (pressure, temperature, deflection, etc.) must be interpolated across the interface between the fluid nodes and the structure nodes (Li et al, 2015). In the literature, a lot of interpolation methods are proposed (De Boer and Van Zuijlen, 2008;Li et al, 2007Li et al, , 2015Harder and Desmarais, 1972;Smith et al, 2000;Appa, 1989;Duchon, 2006;Hardy, 1971;Zong-Min, 2002;Jiao and Heath, 2004;Jaiman et al, 2006;Boer et al, 2007;Goura et al, 2001;Farrell et al, 2009).…”

“…must be interpolated across the interface between the fluid nodes and the structure nodes (Li et al, 2015). In the literature, a lot of interpolation methods are proposed (De Boer and Van Zuijlen, 2008;Li et al, 2007Li et al, , 2015Harder and Desmarais, 1972;Smith et al, 2000;Appa, 1989;Duchon, 2006;Hardy, 1971;Zong-Min, 2002;Jiao and Heath, 2004;Jaiman et al, 2006;Boer et al, 2007;Goura et al, 2001;Farrell et al, 2009). The nearest-neighbor interpolation (NN) method directly uses the data of the point nearest to a target point as interpolation result (De Boer and Van Zuijlen, 2008;Li et al, 2015).…”

“…In the literature, a lot of interpolation methods are proposed (De Boer and Van Zuijlen, 2008;Li et al, 2007Li et al, , 2015Harder and Desmarais, 1972;Smith et al, 2000;Appa, 1989;Duchon, 2006;Hardy, 1971;Zong-Min, 2002;Jiao and Heath, 2004;Jaiman et al, 2006;Boer et al, 2007;Goura et al, 2001;Farrell et al, 2009). The nearest-neighbor interpolation (NN) method directly uses the data of the point nearest to a target point as interpolation result (De Boer and Van Zuijlen, 2008;Li et al, 2015). The polynomial least squares method (L2) fits the polynomial function from the data of several points nearest to a target point by least squares method.…”

“…Fitting methods and projection methods provide good interpolation results for fine meshes. However, for curved interface surfaces of coarse meshes, the accuracy is not always desirable (Li et al, 2007(Li et al, , 2015. The reason is shown below.…”