A multigrid method for the transonic full potential equation discretized with finite elements on an arbitrary body fitted mesh

A multigrid method for the transonic full potential equation discretized with finite elements on an arbitrary body fitted mesh
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任意体拟合网格上有限元离散跨音速全势方程的多重网格方法

DOI:
10.1016/0021-9991(82)90056-0
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发表时间:
1982
影响因子:
4.1
通讯作者:
C. Hirsch
C. Hirsch
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
H. Deconinck;C. Hirsch

文献摘要

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A multigrid method for the acceleration of transonic potential flow calculations based on a Galerkin finite element approach is described. In order to allow the use of arbitrary body fitted meshes, it is necessary to introduce nonuniform interpolation and residual weighting. Emphasis is put on the construction of these operators consistent with the finite element approximation, while standard successive line overrelaxation is used as a smoothing step. Substantial convergence acceleration is obtained and results are presented for different transonic flow configurations including shocks.