Fluid computations using infinitesimal functionals
Abstract
The paper describes a method for computing fluid flows which is suitable in the presence of a large range of scales and which demands less computation time than grid methods. It is based on the assumption that there is information available on the expected type of motion such that it is possible to describe the relevant fluid states by means of a small number of parameters. Equations of motion for these parameters are obtained through the use of a positive functional. The time derivatives of the parameters are chosen in such a way as to minimize the functional. The variational method is nonEulerian.
 Publication:

Computers and Fluids
 Pub Date:
 December 1978
 Bibcode:
 1978CF......6..241S
 Keywords:

 Equations Of Motion;
 Flow Equations;
 Fluid Flow;
 Functionals;
 Variational Principles;
 Approximation;
 Atmospheric Models;
 Benard Cells;
 Convective Heat Transfer;
 Flow Distribution;
 Laminar Flow;
 Rayleigh Number;
 Time Functions;
 Wall Flow;
 Fluid Mechanics and Heat Transfer