PEGASE: A NAVIER-STOKES SOLVER FOR DIRECT NUMERICAL SIMULATION OF INCOMPRESSIBLE FLOWS
| Autor: | Loc Ta Phuoc, Bruno Troff, Pierre Sagaut, Thien Hiep Lê, Khoa Dang-Tran |
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| Rok vydání: | 1997 |
| Předmět: |
Applied Mathematics
Mechanical Engineering Computational Mechanics Finite difference method Geometry Mixed finite element method Finite element method Computer Science Applications Mechanics of Materials Pressure-correction method Mesh generation Projection method Applied mathematics Galerkin method Mathematics Extended finite element method |
| Zdroj: | International Journal for Numerical Methods in Fluids. 24:833-861 |
| ISSN: | 1097-0363 0271-2091 |
| DOI: | 10.1002/(sici)1097-0363(19970515)24:9<833::aid-fld522>3.0.co;2-a |
| Popis: | SUMMARY A hybrid conservative finite difference/finite element scheme is proposed for the solution of the unsteady incompressible Navier‐Stokes equations. Using velocity‐pressure variables on a non-staggered grid system, the solution is obtained with a projection method based on the resolution of a pressure Poisson equation. The new proposed scheme is derived from the finite element spatial discretization using the Galerkin method with piecewise bilinear polynomial basis functions defined on quadrilateral elements. It is applied to the pressure gradient term and to the non-linear convection term as in the so-called group finite element method. It ensures strong coupling between spatial directions, inhibiting the development of oscillations during long-term computations, as demonstrated by the validation studies. Two- and three-dimensional unsteady separated flows with open boundaries have been simulated with the proposed method using Cartesian uniform mesh grids. Several examples of calculations on the backward-facing step configuration are reported and the results obtained are compared with those given by other methods. 1997 by John Wiley & Sons, Ltd. Int. j. numer. methods fluids 24: 833‐861, 1997. |
| Databáze: | OpenAIRE |
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