AN APPROXIMATION OF LAGRANGIAN SURFACES WITH EULER IAN MESH IN SPACE

Yu. A. Dementiev, A. I. Kirillov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1987. Вып.1. С. 54-60.

      An approximation of Lagrangian boundaries in space is proposed which relies upon information about intersections of boundary surfaces with coordinate lines defining the Eulerian mesh. Each mesh cell is assumed to be a hexahedron. The description is in terms of Cartesian coordinates. The movement of closed continuous Lagrangian surfaces within a given velocity vector field is described.