The foundation and development of the finite element method to solve partial differential equations of fluid mechanics
Abstract
The mathematical theory is given beginning with the variational formulation of a problem. The three basic steps in the finite element method are discussed: (1) the subdivision of the domain; (2) the definition of the elements to approximate the unknown functions; and, (3) the forming of the algebraic system for the unknown coefficients. Application of the finite element method to two problems in fluid mechanics is also given. The first of these problems is boundary layer flow, and the other is transonic flow.
 Publication:

In AGARD Computational Fluid Dyn. 25 p (SEE N7722442 1334
 Pub Date:
 April 1977
 Bibcode:
 1977cfd..agar.....A
 Keywords:

 Finite Element Method;
 Fluid Mechanics;
 Partial Differential Equations;
 Boundary Layers;
 Transonic Flow;
 Fluid Mechanics and Heat Transfer