MULTIDOMAIN IMPLICIT NUMERICAL SCHEME

A multidomain method for the solution of elliptic CFD problems with an ADI scheme is described. Two methods of treatment of internal boundar y conditions for ADI functions are discussed, namely an explicit and a semi-implicit method. Stability conditions for the proposed methods a re derived theoretically. The semi-implicit scheme is more stable than the explicit scheme, leading to improved numerical efficiency for mul tidomain computations. Numerical computations for a linear convection- diffusion equation, for buoyancy-driven recirculating flow in a square cavity and for turbulent flow in a square duct confirmed the theoreti cal results. Computer runs of the multidomain code in a distributed me mory multiprocessor system were successful and efficient and produced reliable results. (C) 1997 by John Wiley & Sons, Ltd.