On the theory of semi‐implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory
作者： Philip M. Gresho
关键词: Incompressible flow 、 Mathematics 、 Projection method 、 Continuity equation 、 Navier–Stokes equations 、 Mass matrix 、 Fluid mechanics 、 Mathematical analysis 、 Projection (linear algebra) 、 Finite element method
摘要: Ever since the expansion of finite element method (FEM) into unsteady fluid mechanics, «consistent mass matrix» has been a relevant issue. Applied to time-dependent incompressible Navier-Stokes equations, it virtually demands use implicit time integration methods in which full «velocity-pressure coupling» is also inherent. We re-introduce consistent matrix some semi-implicit projection such way that cost advantage lumped and accuracy are simultaneously realized
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