Introduction to the session on: Numerical methods for twophase flow
Abstract
The six equation model without artificial correction terms is the simplest one which models the physics as correctly as we can, given that the averaging process is imprecise. Once that idea is accepted the next step is to try to evaluate the limitations of standard difference schemes applied to an illposed problem of this type. Analysis of simple cases shows that there are schemes which are quasistable (qstable), by which I mean that errors are not amplified if the mesh size is not too small. Of course, even wellposed problems have limits on mesh size; too fine a mesh will take too much computer time or have unacceptable growth of roundoff error. Here we have an additional mesh constraint, but whether or not it is more restrictive than the others is a function of the particular situation being modeled. For example, if the lowest order effects such as phase changes and friction are dominant then the qstability condition on the mesh will still allow a mesh small enough to obtain accuracy consistent with the accuracy of the data.
 Publication:

Presented at the 11th Intern. Assoc. of Math. and Computers Simulation World Congr
 Pub Date:
 1985
 Bibcode:
 1985iamc.cong.....W
 Keywords:

 Computer Programs;
 Data Processing;
 Mesh;
 Numerical Analysis;
 Stability;
 Two Phase Flow;
 Computerized Simulation;
 Constraints;
 Models;
 Fluid Mechanics and Heat Transfer