Isogeometric simulation based on NURBS collocation and unified Space-Time formulation

Research output: Conference Papers (RGC: 31A, 31B, 32, 33)Abstract

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Original languageEnglish
Publication statusPresented - Oct 2018


TitleIGA 2018: Integrating Design and Analysis
LocationAT&T Hotel & University of Texas at Austin
PlaceUnited States
CityAustin, Texas
Period10 - 12 October 2018


Isogeometric Analysis (IGA) was first introduced in 2005 as an alternative method for finite element analysis (FEA) by integrating Computer Aided Design (CAD) and downstream analysis without the use of an intermediate mesh model [1]. Most researches on isogeometric analysis are based on either the Galerkin (IGA-G) or collocation (IGA-C) formulations. Isogeometric collocation methods provide the potential to increase the computational efficiency of IGA with a specified level of accuracy [2]. Space-time isogeometric analysis (ST-IGA) is also an important area in IGA for producing time-dependent solutions with given boundary and initial conditions. Commonly used formulation in space-time isogeometric analysis is mostly based on time-stepping methods [3, 4, 5]. In this study, we present a method for ST-IGA based on NURBS collocation and unified space-time formulation. Both spatial and time spaces are integrated as the single extended computation space. The computation and the solution spaces are further represented using the same NURBS formulation. Collocation methods are finally applied for producing the IGA solutions. We have applied the proposed method for the simulation of temperature distribution in thermal analysis. For simplicity, we restrict ourselves to fixed spatial computational domains in the present study, but the method can also be extended to solutions over a variable spatial domain. Numerical examples show that the resulting solutions are stable with standard convergence rates as that of collocation methods in both the spatial and temporal dimensions.

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Isogeometric simulation based on NURBS collocation and unified Space-Time formulation. / Ma, Weiyin; Ali, Zulfiqar.

2018. Abstract from IGA 2018: Integrating Design and Analysis, Austin, Texas, United States.

Research output: Conference Papers (RGC: 31A, 31B, 32, 33)Abstract