Second order blended multidimensional upwind residual distribution scheme for steady and unsteady computations

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• 作者：Jiř ; í ; Dobeš ; Herman Deconinck
• 关键词：Residual distribution scheme ; Fluctuation splitting scheme ; Steady problems ; Unsteady problems ; Finite volume method ; Finite element method ; Transonic flows ; Shock capturing ; Mass matrix ; Implicit method
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2008
• 出版时间：1 June 2008
• 年：2008
• 卷：215
• 期：2
• 页码：378-389
• 全文大小：1199 K

文摘

Multidimensional upwind residual distribution (RD) schemes have become an appealing alternative to more widespread finite volume and finite element methods (FEM) for solving compressible fluid flows. The RD approach allows to construct nonlinear second order and non-oscillatory methods at the same time. They are routinely used for steady state calculations of the complex flow problems, e.g., 3D turbulent transonic industrial-type simulations [H. Deconinck, K. Sermeus, R. Abgrall, Status of multidimensional upwind residual distribution schemes and applications in aeronautics, AAIA Paper 2000-2328, AIAA, 2000; K. Sermeus, H. Deconinck, Drag prediction validation of a multi-dimensional upwind solver, CFD-based aircraft drag prediction and reduction, VKI Lecture Series 2003-02, Von Karman Institute for Fluid Dynamics, Chausée do Waterloo 72, B-1640 Rhode Saint Genèse, Belgium, 2003].