6533b7d6fe1ef96bd1265c18

RESEARCH PRODUCT

A parallel splitting up method and its application to Navier-Stokes equations

Xue-cheng TaiPekka NeittaanmäkiPekka NeittaanmäkiT. Lu

subject

Nonlinear systemAlternating direction implicit methodSteady stateSeries (mathematics)business.industryApplied MathematicsMathematical analysisParabolic problemComputational fluid dynamicsNavier–Stokes equationsbusinessFinite element methodMathematics

description

A parallel splitting-up method (or the so called alternating-direction method) is proposed in this paper. The method not only reduces the original linear and nonlinear problems into a series of one dimensional linear problems, but also enables us to compute all these one dimensional linear problems by parallel processors. Applications of the method to linear parabolic problem, steady state and nonsteady state Navier-Stokes problems are given. peerReviewed

https://doi.org/10.1016/0893-9659(91)90161-n