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

The impact of self-parallel interfaces on the accuracy of the data transfer methods is investigated.A method is proposed to transfer data through the planar projection spaces.A new technique is set up to project 3D interfaces into the planar space by an ISOMAP nonlinear dimensionality reduction.The proposed method is compared with some methods in a pressure transfer of a turbine blade. With the accuracy limitation of some transfer methods in the self-parallel fluid-structure interfaces, a data transfer method is proposed by an ISOMAP (Isometric Mapping) nonlinear dimensionality reduction. Through this new method, the data transfer problem of the self-parallel interfaces is solved. Example of a 3D turbine blade shows that the proposed method can improve the transfer accuracy in the non-matching meshes.

[1]  Charbel Farhat,et al.  Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations , 1996 .

[2]  Folco Casadei,et al.  Permanent Fluid-Structure Interaction with Non-Conforming Interfaces in Fast Transient Dynamics. , 2004 .

[3]  Hester Bijl,et al.  Review of coupling methods for non-matching meshes , 2007 .

[4]  Rajeev K. Jaiman,et al.  Transient fluid–structure interaction with non-matching spatial and temporal discretizations , 2011 .

[5]  Chris Newman,et al.  The role of data transfer on the selection of a single vs. multiple mesh architecture for tightly coupled multiphysics applications , 2011, Appl. Math. Comput..

[6]  Patrick E. Farrell,et al.  Conservative interpolation between volume meshes by local Galerkin projection , 2011 .

[7]  Rajeev K. Jaiman,et al.  Combined interface boundary condition method for unsteady fluid–structure interaction , 2011 .

[8]  H. Wendland,et al.  Multivariate interpolation for fluid-structure-interaction problems using radial basis functions , 2001 .

[9]  Stephan Bock Approach for Coupled Heat Transfer/Heat Flux Calculations , 2003 .

[10]  Michael T. Heath,et al.  Common‐refinement‐based data transfer between non‐matching meshes in multiphysics simulations , 2004 .

[11]  Jingchao Wang,et al.  Turbine blade temperature transfer using the load surface method , 2007, Comput. Aided Des..

[12]  Rajeev K. Jaiman,et al.  Conservative load transfer along curved fluid-solid interface with non-matching meshes , 2006, J. Comput. Phys..

[13]  M. Sniedovich Dijkstra's algorithm revisited: the dynamic programming connexion , 2006 .

[14]  Kari Appa,et al.  Finite-surface spline , 1989 .

[15]  A Samareh Jamshid,et al.  A Unified Approach to Modeling Multidisciplinary Interactions , 2000 .

[16]  David P. Schmidt,et al.  Conservative interpolation on unstructured polyhedral meshes: An extension of the supermesh approach to cell-centered finite-volume variables , 2011 .

[17]  X. Huo,et al.  A Survey of Manifold-Based Learning Methods , 2007 .

[18]  G. Hou,et al.  Numerical Methods for Fluid-Structure Interaction — A Review , 2012 .

[19]  J. Tenenbaum,et al.  A global geometric framework for nonlinear dimensionality reduction. , 2000, Science.

[20]  Guru P. Guruswamy,et al.  A review of numerical fluids/structures interface methods for computations using high-fidelity equations , 2002 .

[21]  Hujun Yin An Adaptive Multidimensional Scaling and Principled Nonlinear Manifold , 2007 .

[22]  Matthew D. Piggott,et al.  Conservative interpolation between unstructured meshes via supermesh construction , 2009 .

[23]  Hester Bijl,et al.  Comparison of the conservative and a consistent approach for the coupling of non-matching meshes , 2006 .

[24]  P. Tallec,et al.  Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity , 1998 .