Cascade flow calculations by a multigrid Euler method

Computation of Aircraft Flow Fields by a Multigrid Euler Method

An algorithm for computing transonic flow fields about fighter-type aircraft is described in the paper. The compressible Euler equations are solved numerically using a vertex-based, finite volume multigrid scheme. The space around the aircraft is discretized with a single-block H-0 mesh which is generated by the union of separate Omeshes around successive cross sections of the aircraft. The dis...

Solution of the Euler Equations for Two Dimensional Transonic Flow by a Multigrid Method

A crucial input to the design of a long range aircraft is the prediction of the aerodynamic flow in cruising flight. In contrast to the flow past a blunt object, such as a golf ball, or ski racer, the flow past an aircraft generally does not separate. Consequently, the important viscous effects are mainly confined to boundary layers over the surface of the aircraft, and useful predictions can b...

Multigrid Algorithms for Compressible Flow Calculations

Multigrid method for electronic structure calculations

A general real-space multigrid algorithm for the self-consistent solution of the Kohn-Sham equations appearing in the state-of-the-art electronic-structure calculations is described. The most important part of the method is the multigrid solver for the Schrödinger equation. Our choice is the Rayleigh quotient multigrid method ~RQMG!, which applies directly to the minimization of the Rayleigh qu...

A New Multigrid Euler Method for Fighter-type Configurations

Transonic and supersonic flows over isolated wings and fighter-type aircraft configurations are computed through the numerical solution of the compressible Euler equations. Appropriate singlemesh topologies are used in combination with a new multigrid time-stepping scheme for solving the Euler equations. C-H or C-0 meshes are used for the isolated wing. A novel H-0 type mesh is introduced to di...