Applications of variational principles in computing rotational flows
Abstract
Ecer and Akay (1983) have developed a variational formulation of rotational flow for Euler equations. The present paper provides a summary of these developments. The considered variational formulation provides a transformation of a type considered by Clebsch (1859). In this transformation, a new set of variables replaces the more commonly used primitive variables u(i), rho and p. Here, u(i) denotes the velocity components, while rho is the density, and p the pressure. The employed transformation produces a natural uncoupling of the equations when written in a quasilinear form. After obtaining the governing equations in terms of the 'Clebsch variables', a solution scheme developed for calculating steady flows is discussed. Attention is given to numerical solutions of Euler equations based on the derived variational principles, and a study of inviscid, separated flows is conducted.
 Publication:

IN: Advances in computational transonics (A8620926 0802). Swansea
 Pub Date:
 1985
 Bibcode:
 1985act..book..777E
 Keywords:

 Flow Characteristics;
 Inviscid Flow;
 Rotating Fluids;
 Separated Flow;
 Transonic Flow;
 Variational Principles;
 Channel Flow;
 Corner Flow;
 Differential Equations;
 Euler Equations Of Motion;
 Lagrange Multipliers;
 Steady Flow;
 Unsteady Flow;
 Fluid Mechanics and Heat Transfer