NONITERATIVE SOLUTION FOR PRESSURE IN PARABOLIC FLOWS

Parabolic flows in which the pressure variation in the streamwise (or marching) direction is unknown a priori include internal thin shear la yers, shock-boundary layer interactions, and in verse boundary layers with specified displacement thickness or shear stress. The pressure is typically obtained through an additional iteration beyond that requir ed to determine the velocity components (and other dependent variables ). A generalized block-tridiagonal procedure is discussed in which pre ssure is determined within the iteration for velocity components to su bstantially reduce computation time. The increase in algebraic complex ity in the solution procedure is small; no increase in the size of the block matrices is required. The method applies to any marching soluti on in which a scalar dependent variable is constant across the flow, b ut varies in the streamwise or marching direction.