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- W2000507455 abstract "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." @default.
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- W2000507455 date "1992-01-01" @default.
- W2000507455 modified "2023-09-24" @default.
- W2000507455 title "Application of Three-Level One-Stage Runge-Kutta Scheme for Numerical Solution of Incompressible Flow." @default.
- W2000507455 doi "https://doi.org/10.1299/kikaib.58.167" @default.
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