Аннотация:Options for constructing a grid with an edge selection and setting the conditions for the conicity of the flow relative to the edge are offered to simulate the flow around conical bodies with a sharp supersonic edge. Methods for constructing a grid near a star-shaped body, a flat and V- or Λ-shaped wing, near a wing with a central body, and a V-shaped wing with a leading edge of negative sweep have been implemented. The boundary condition for the flow conicity relative to the edge is sufficient for constructing a solution. Calculations of the flow around several variants of geometries of bodies of various types with a fixed midsection area and wing span are carried out, their aerodynamic characteristics are compared.