Convection by means of least squares projection for ALE calculations

Research output: Contribution to conferencePaper

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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

Cite this

Geijselaers, H. J. M., & Huetink, H. (2001). Convection by means of least squares projection for ALE calculations. Paper presented at ESAFORM 2001, Liège, Belgium.
Geijselaers, Hubertus J.M. ; Huetink, Han. / Convection by means of least squares projection for ALE calculations. Paper presented at ESAFORM 2001, Liège, Belgium.4 p.
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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",
keywords = "IR-59382",
author = "Geijselaers, {Hubertus J.M.} and Han Huetink",
year = "2001",
language = "Undefined",
note = "null ; Conference date: 23-04-2001 Through 25-04-2001",

}

Geijselaers, HJM & Huetink, H 2001, 'Convection by means of least squares projection for ALE calculations' Paper presented at ESAFORM 2001, Liège, Belgium, 23/04/01 - 25/04/01, .

Convection by means of least squares projection for ALE calculations. / Geijselaers, Hubertus J.M.; Huetink, Han.

2001. Paper presented at ESAFORM 2001, Liège, Belgium.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Convection by means of least squares projection for ALE calculations

AU - Geijselaers, Hubertus J.M.

AU - Huetink, Han

PY - 2001

Y1 - 2001

N2 - 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

AB - 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

KW - IR-59382

M3 - Paper

ER -

Geijselaers HJM, Huetink H. Convection by means of least squares projection for ALE calculations. 2001. Paper presented at ESAFORM 2001, Liège, Belgium.