Fluctuation splitting for multidimensional convection problems: An alternative to finite volume and finite element methods
Abstract
Twodimensional conservation laws are considered. The fluctuation splitting is described in one space dimension and in two dimensions. The mathematical structures encountered is richer and subtler than in one dimension. The effect of the inclusion of the twodimensional wave model is shown. Nonlinear equations and the relationship with classical finite volume and streamline upwind finite element methods are discussed. Conclusions for systems of equations like the Euler equations are drawn.
 Publication:

In its Computational Fluid Dynamics
 Pub Date:
 1990
 Bibcode:
 1990cfld....2.....D
 Keywords:

 Conservation Laws;
 Convection;
 Finite Element Method;
 Finite Volume Method;
 Flow Equations;
 Multigrid Methods;
 Wave Equations;
 Computational Fluid Dynamics;
 Computational Grids;
 Euler Equations Of Motion;
 Mixing Layers (Fluids);
 Two Dimensional Models;
 Fluid Mechanics and Heat Transfer