Convection by means of least squares projection for ALE calculations

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Abstract

Element result data are in general discontinuous across element boundaries. In the ALE method convection of these data with respect to the element grid is required. In this paper we present a convection method, which is based on a least squares projection. For moderate convective displacements it is reformulated in terms of a field integral and boundary flux terms. For one dimensional problems the method can be shown to be third order in space. For two dimensional problems the method is stable for Courant numbers upto 1.05. Based on this method a simplification is suggested where the calculation of gradients of fields in upwind elements is not needed. This simplification is paid for by a slight decrease in stability. A maximum Courant number of 0.72 is still attainable. The methods are outlined in one dimension, results are shown of two dimensional calculations
Original languageUndefined
Number of pages4
Publication statusPublished - 2001
EventESAFORM 2001: 4th International ESAFORM Conference on Material Forming - Liège, Belgium
Duration: 23 Apr 200125 Apr 2001
Conference number: 4

Conference

ConferenceESAFORM 2001
Abbreviated titleESAFORM
CountryBelgium
CityLiège
Period23/04/0125/04/01

Keywords

  • IR-59382

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