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A NON‐OSCILLATORY NO‐FREE‐PARAMETER FINITE ELEMENT AND ITS APPLICATIONS IN CDF
Author(s) -
Wang Yan,
Tong BingGang,
Jiang GuiQing,
Wang XiaoMin
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19970130)24:2<141::aid-fld483>3.0.co;2-h
Subject(s) - euler equations , rotational symmetry , finite element method , shock wave , euler's formula , physics , discontinuity (linguistics) , supersonic speed , mechanics , mathematics , classical mechanics , mathematical analysis , thermodynamics
A non‐oscillatory no‐free‐parameter finite element method (NNFEM) is presented based on the consideration of wave propagation characteristic in different characteristic directions across a strong discontinuity through flux vector splitting in order to satisfy the increasing entropy condition. The algorithm is analysed in detail for the one‐dimensional (1D) Euler equation and then extended to the 2D, axisymmetric and 3D Euler and Navier–Stokes equations. Its applications in various cases—in viscid oblique shock wave reflection, flow over a forward step, axisymmetric free jet flow, supersonic flows over 2D and 3D rectangular cavities—are given. These computational results show that the present NNFEM is efficient in practice and stable in operations and is especially capable of giving good resolution in simulating complicated separated and vortical flows interacting with shock waves. © 1997 by John Wiley & Sons, Ltd.