STABILIZED FINITE-ELEMENT METHODS .2. THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
STABILIZED FINITE-ELEMENT METHODS .2. THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
复制标题
DOI：
10.1016/0045-7825(92)90041-h
复制
发表时间：
1992-09-01
影响因子：
7.2
通讯作者：
FREY, SL
中科院分区：
文献类型：
--
作者：
FRANCA, LP;FREY, SL
提出并分析了不可压缩Navier-Stokes方程线性化形式的稳定方法。对该方法进行了推广，并对非线性模型进行了验证。该方法结合了已提出的Stokes流稳定方法和平流扩散流稳定方法的优点。这些方法还推广了以前仅限于低阶插值的工作，从而允许任何速度和连续压力插值的组合。建议仔细设计稳定性参数，这大大简化了这些概括。
Stabilized methods are proposed and analyzed for a linearized form of the incompressible Navier-Stokes equations. The methods are extended and tested for the nonlinear model. The methods combine the good features of stabilized methods already proposed for the Stokes flow and for advective-diffusive flows. These methods also generalize previous works restricted to low-order interpolations, thus allowing any combination of velocity and continuous pressure interpolations. A careful design of the stability parameters is suggested which considerably simplifies these generalizations.