Higher-Order Semi-Implicit Projection Methods.

Minion, M. L.

Technical Information Center Oak Ridge Tennessee

关键词: Numerical solution;    Navier-Stokes equations;    Accuracy;    Incompressible flow;    Implementation;   

RP-ID  :  DE200415006303

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

A semi-implicit form of the method of spectral deferred corrections is applied to the solution of the incompressible Navier-Stokes equations. A methodology for constructing semi-implicit projection methods with arbitrarily high order of temporal accuracy in both the velocity and pressure is presented. Three variations of projection methods are discussed which differ in the manner in which the auxiliary velocity and the pressure are calculated. The presentation will make clear that project methods in general need not be viewed as fractional step methods as is often the practice. Two simple numerical examples re used to demonstrate fourth-order accuracy in time for an implementation of each variation of projection method.