3準位1段階ルンゲクッタ法の非圧縮性流体計算への応用

概要

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A three-level one-stage Runge-Kutta scheme has been proposed for time integration of the incompressible Navier-Stokes equations. This scheme contains three free parameters and includes the conventional one-stage schemes, forward Euler scheme and Adams-Bashforth scheme, as special cases. The novel feature of the scheme is that the stability region can be extended further than that of the conventional one-stage scheme, and time accuracy can be controlled up to second order by tuning parameters. Numerical solutions for the transient Poiseuille flow and the two-dimensional lid-driven cavity flow are presented and compared with the analytical solution and those of the one-stage schemes. It is shown that the present scheme allows a larger time step and requires less computing cost than does the conventional one-stage scheme.
社団法人日本機械学会の論文
1992-01-25