The present volume of this series on computational aspects of physical problems is concerned with current techniques for numerically solving problems primarily in nonviscous, compressible fluid motion. These techniques have been developed for solution on digital computers over a period of 15 years or so. Some of the methods described are more useful than others; the methods of limited use are included because we feel that in these early years of the development of the computer as a mathematical tool, even the less successful heuristic methods should be exposed to public view for consideration.