A FLOW-CONDITION-BASED INTERPOLATION MIXED FINITE ELEMENT PROCEDURE FOR HIGHER REYNOLDS NUMBER FLUID FLOWS
作者： KLAUS-JÜRGEN BATHE , JUAN P. PONTAZA
DOI: 10.1142/S0218202502001775
关键词: Compressible flow 、 Upwind scheme 、 Compressibility 、 Flow (mathematics) 、 Mathematics 、 Reynolds number 、 Hele-Shaw flow 、 Mathematical analysis 、 Hydrodynamic stability 、 Finite element method
摘要: We present a (somewhat) new finite element procedure for the analysis of higher Reynolds number fluid flows. While two-dimensional conditions and incompressible flows are considered, scheme can directly be used three-dimensional also has good potential compressible flow analysis. The is based on use nine-node element, optimal (the 9/3 or 9/4-c elements), Petrov–Galerkin formulation with exponential weight functions (test functions). These established from along edge- mid-lines element. An important feature that low flow, usual biquadratics as "automatically" skew so to provide necessary stability solution upwinding effect). Since test calculated by conditions, no artificial constant set analyst. simple implement. some experiences conclude while not "ideal" sought, it valuable attributes further improvements.
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