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

Research output: Contribution to journalReview article

72 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)193-211
Number of pages19
JournalComputational Mechanics
Volume54
Issue number2
DOIs
Publication statusPublished - 2014 Aug

Keywords

  • Bio-inspired flapping-wing aerodynamics
  • Cardiovascular fluid mechanics
  • DSD/SST method
  • MAV
  • NURBS in time
  • ST with continuous temporal representation
  • ST with topology change
  • ST-C
  • ST-SUPS method
  • ST-TC
  • ST-VMS method
  • STNMUM
  • Space-time methods
  • Wind-turbine aerodynamics

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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