Variational Formulation of 1—D Unsteady Compressible Flow in a Deforming Tube
The variational principles for 1-D unsteady compressible flow in a deforming tube derived in a previous paper^[1] are improved essentially by reconstructing the initial/final-integral terms according to a new method suggested in a recent paper[2],As a result,the inherent shortcoming of variational p...
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Veröffentlicht in: | Journal of thermal science 2003-05, Vol.12 (2), p.114-117 |
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creator | Liu, Gaolian Tao, Yi Liu, Yingxue |
description | The variational principles for 1-D unsteady compressible flow in a deforming tube derived in a previous paper^[1] are improved essentially by reconstructing the initial/final-integral terms according to a new method suggested in a recent paper[2],As a result,the inherent shortcoming of variational principles of being unable to admit physically rational initial/final-value conditions in initial/boundary-value problems is successfully eliminated.Thus,a new theoretical basis for the time-space finite-element analysis is provided. |
doi_str_mv | 10.1007/s11630-003-0051-7 |
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subjects | Boundary value problems Compressible flow Deformation Finite element method Mathematical analysis Variational principles 一维不定常可压缩流体 变化规律 时间边界条件 气体动力学 流体力学 |
title | Variational Formulation of 1—D Unsteady Compressible Flow in a Deforming Tube |
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