Application of three-level one-stage Runge-Kutta scheme for numerical solution of incompressible flow
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.
- Publication:
-
JSME Transactions
- Pub Date:
- January 1992
- Bibcode:
- 1992JSMET..58..167M
- Keywords:
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- Computational Fluid Dynamics;
- Incompressible Flow;
- Navier-Stokes Equation;
- Runge-Kutta Method;
- Cavity Flow;
- Laminar Flow;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer