CONVERGENCE CHARACTERISTICS OF MULTI-STAGE RUNGE-KUTTA METHODS IN INCOMPRESSIBLE VISCOUS FLOW COMPUTATIONS

비압축성 점성유동 해석에서의 Multi-Stage Runge-Kutta 기법의 수렴특성 연구

Objective of the present study is to examine the convergence characteristics of the various multi-stage Runge-Kutta methods in solving the incompressible Navier-Stokes equations of a time-marching from casted by the artificial compressibility method. Convergence characteristics are examined over 2-stage, 4-stage and hybrid type (using 4-, 3-, 2-stages sequentially) Runge-Kutta methods for a laminar lid-driven cavity flow, and also for a turbulent bump channel flow using Chien's low-Reynolds number turbulence model. Efforts are made to establish a stable and fast convergent multi-stage Runge-Kutta method with minimal artificial dissipations.