Computational engineering analysis with the new-generation space–time methods

This is an overview of the new directions we have taken the space–time (ST) methods in bringing solution and analysis to different classes of computationally challenging engineering problems. The classes of problems we have focused on include bio-inspired flapping-wing aerodynamics, wind-turbine aerodynamics, and cardiovascular fluid mechanics. The new directions for the ST methods include the variational multiscale version of the Deforming-Spatial-Domain/Stabilized ST method, using NURBS basis functions in temporal representation of the unknown variables and motion of the solid surfaces and fluid meshes, ST techniques with continuous representation in time, and ST interface-tracking with topology change. We describe the new directions and present examples of the challenging problems solved.

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[159]  Yuri Bazilevs,et al.  Finite element simulation of wind turbine aerodynamics: validation study using NREL Phase VI experiment , 2014 .

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[166]  Tayfun E. Tezduyar,et al.  Computation of Inviscid Supersonic Flows Around Cylinders and Spheres with the SUPG Formulation and YZβ Shock-Capturing , 2006 .

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[168]  Tayfun E. Tezduyar,et al.  SUPG finite element computation of inviscid supersonic flows with YZβ shock-Capturing , 2007 .

[169]  Toshio Kobayashi,et al.  Computer modeling of cardiovascular fluid-structure interactions with the deforming-spatial-domain/stabilized space-time formulation , 2006 .

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[171]  Yuri Bazilevs,et al.  Blood vessel tissue prestress modeling for vascular fluid-structure interaction simulation , 2011 .

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