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Error estimation and space-time adaptivity for the isogeometric analysis of transient structural dynamics

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Academic year: 2021

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Error estimation and space-time adaptivity for the

isogeometric analysis of transient structural dynamics

Peng Yu1, Susanne Claus1, St/’ephane Pierre Alain Bordas1,1, Pierre Kerfriden1,

aInstitute of Mechanics and Advanced Materials, School of Engineering, Cardiff University bFacult/’e des Sciences, de la Technologie et de la Communication, University of

Luxembourg

Abstract

This paper presents a new adaptive scheme for the error-controlled simulation of transient dynamics problem. We rely on spline bases for the higher-order spatial description of our kinematic fields. Local adaptivity is performed by employing a hierarchical T-mesh technology, in combination with geometry-independent field approximation. The Newmark algorithm is chosen to solve the semidiscrete equation of motion. We will present some simple local error estimates to drive the adaptivity, and show how we can ensure that the mechanical energy of conservative systems is preserved during the refinement process.

Keywords: isogeometric analysis, PHT splines, spacetime, error estimation, dynamics

∗Corresponding author

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