Development of a computational method for prediction of external store carriage characteristics at transonic speeds is described. The geometric flexibility required for treatment of pylon-mounted stores is achieved by computing finite difference solutions on a five-level embedded grid arrangement. A completely automated grid generation procedure facilitates applications. Store modeling capability consists of bodies of revolution with multiple fore and aft fins. A body-conforming grid improves the accuracy of the computed store body flow field. A nonlinear relaxation scheme developed specifically for modified transonic small disturbance flow equations enhances the method's numerical stability and accuracy. As a result, treatment of lower aspect ratio, more highly swept and tapered wings is possible. A limited supersonic freestream capability is also provided. Pressure, load distribution, and force/moment correlations show good agreement with experimental data for several test cases. A detailed computer program description for the Transonic Store Carriage Loads Prediction (TSCLP) Code is included. Rosen, Bruce S. Unspecified Center COMPUTATIONAL FLUID DYNAMICS; EXTERNAL STORES; LOADS (FORCES); NUMERICAL STABILITY; PREDICTION ANALYSIS TECHNIQUES; SIMULATION; SWEPT WINGS; TRANSONIC FLOW; COMPUTATIONAL GRIDS; COMPUTER PROGRAMS; FINITE DIFFERENCE THEORY; GRID GENERATION (MATHEMATICS); RELAXATION METHOD (MATHEMATICS)...