A Multiple-Block Multigrid Method for the Solution of the Three-Dimensional Euler and Navier-Stokes Equations.

Abstract

A multiple multigrid method for the solution of the 3-D Euler and Navier-Stokes equations is presented. The basic flow solver is a cell-vertex method which employs central difference spatial approximations and Runge-Kutta time stepping. The use of local time stepping, implicit residual smoothing, multigrid techniques and variable-coefficient numerical dissipation results in an efficient and robust scheme. The multi-block calculations in which the two-block grid is generated by splitting the one-block grid. Results are presented for both Euler and Navier-Stokes computations of wings and wing/fuselage combinations.