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
Conference  ESAFORM 2001 

Abbreviated title  ESAFORM 

Country  Belgium 

City  Liège 

Period  23/04/01 → 25/04/01 

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@conference{41aa531d115e4a4d923212173b9761c2,
title = "Convection by means of least squares projection for ALE calculations",
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 = "IR59382",
author = "Geijselaers, {Hubertus J.M.} and Han Huetink",
year = "2001",
language = "Undefined",
note = "null ; Conference date: 23042001 Through 25042001",
}
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  IR59382
M3  Paper
ER 