A three-dimensional Euler solver is used to study the vortex core over slender conical bodies at high angles of attack and low speeds. A three-dimensional conical overset-grid is established to reduce the computational efforts while accurately resolve the vortex flow. The numerical results on the vortex core are verified by available experimental data and theoretical solutions. The line vortex model used in the theoretical stability analyses made by the present authors for the vortex flow is

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... ified to account for the effects of the vortex cores. The jetlike flow in the vortex core and inflow at its outer edge are modeled based on numerical experiments by the Euler methods on slender conical bodies incorporated with known theoretical and experimental results on vortex cores. Using the Euler solutions as a benchmark, the modified model yields a better predictions in the vortex positions than the original, and a favorable shifts of the transition point of stability in the Sychev similarity parameter.