An Implicit Method for Three-Dimensional Viscous Flow with Application to Cones at Angle of Attack

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Abstract
An iteration method for solving the implicit difference equations associated with three-dimensional nonlinear parabolic differential equations is derived and analyzed. The method is applied to the high Reynolds number laminar viscous flow around a cone at high angle of attack. The requirements which must be met to ensure convergence of the iterations are obtained. In addition, an analysis of the stability of the difference equations is presented and discussed. The numerical results are compared with experimental data for a 10- deg cone at 12-deg angle of attack, and a 5.6-deg cone at 8-deg angle of attack. The agreement is good.

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