Tools for simulating non‐stationary incompressible flow via discretely divergence‐free finite element models
作者:
Stefan Turek,
期刊:
International Journal for Numerical Methods in Fluids
(WILEY Available online 1994)
卷期:
Volume 18,
issue 1
页码: 71-105
ISSN:0271-2091
年代: 1994
DOI:10.1002/fld.1650180105
出版商: John Wiley&Sons, Ltd
关键词: Non‐stationary;Navier‐Stokes equations;Upwind;Divergence‐free finite elements;Multigrid;Visualization
数据来源: WILEY
摘要:
AbstractWe develop simulation tools for the non‐stationary incompressible 2D Navier‐‐Stokes equations. The most important components of the finite element code are: the fractional step ϑ‐scheme, which is of second‐order accuracy and strongly A‐stable, for the time discretization; a fixed point defect correction method with adaptive step length control for the non‐linear problems (stationary Navier‐Stokes equations); a modified upwind discretization of higher‐order accuracy for the convective terms. Finally, the resulting nonsymmetric linear subproblems are treated by a special multigrid algorithm which is adapted to the quadrilateral non‐conforming discretely divergence‐free finite elements. For the graphical postprocess we use a fully non‐stationary and interactive particle‐tracing method. With extensive test calculations we show that our method is a candidat
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