This volume contains new trends of Computational Fluid Dynamics (CFD) for the 21st Century. It consists of 24 papers presented at a symposium honoring Prof. Nobuyuki Satofuka on the occasion of his 60th birthday, Kyoto, July 15-17, 2000. The contributing authors are from Japan as well as from the international community in Asia, Europe and North America. The topics covered in this volume are Cartesian scheme, gridless scheme, high order and new schemes, optimization techniques, parallel computation, incompressible and compressible flows, multi-phase flows and solid/fluid interactions, magneto-hydrodynamics, and flow visualization techniques. They are especially useful to the younger generation of scientists and engineers in the field.