A NON-OSCILLATORY NO-FREE-PARAMETER FINITE ELEMENT AND ITS APPLICATIONS IN CDF
| Autor: | Bing-Gang Tong, Yan Wang, Xiao-Min Wang, Gui-Qing Jiang |
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| Rok vydání: | 1997 |
| Předmět: |
Shock wave
Wave propagation business.industry Applied Mathematics Mechanical Engineering Mathematical analysis Computational Mechanics Computational fluid dynamics Finite element method Computer Science Applications Euler equations Physics::Fluid Dynamics symbols.namesake Classical mechanics Mechanics of Materials Euler's formula symbols Oblique shock business Navier–Stokes equations Mathematics |
| Zdroj: | International Journal for Numerical Methods in Fluids. 24:141-153 |
| ISSN: | 1097-0363 0271-2091 |
| DOI: | 10.1002/(sici)1097-0363(19970130)24:2<141::aid-fld483>3.0.co;2-h |
| Popis: | SUMMARY 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—inviscid 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. |
| Databáze: | OpenAIRE |
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