### Project Title:

01.01-0333C
Project Title:Solution Adaptive Mesh
Company:Scientific Research Associates, Inc.
Glastonbury, CT 06033
Principal Investigator:Ralph Levy

### Abstract:

Solution of fluid dynamics problems by numerical finite difference techniques currently
produce cost effective design and analysis for the aerospace community for a variety
of problems. For any given problem, the objective of the finite difference numerical
simulation is an accurate representation of the actual flow field. Although choice
of the numerical technique as well as choice of difference operators play a major
role in solution accuracy, the grid upon which the governing equations are solved
also plays a major role. As flow problems of interest become increasingly complex,
increasing demands are made upon the computational grid. The innovation of this
proposed study is to utilize information from an analysis of the error terms in fluid
dynamic equations to generate solution adaptive meshes that produce the most error
free solution possible with given number of mesh points. Since error terms differ
for different forms of the equations, several common fluid dynamic equations would
be investigated. Solutions of a desired accuracy could be achieved with fewer grid
points than is currently possible. Solution adaptive mesh will permit computational
fluid dynamics to address even more complex and realistic problems than can be addressed
on a practical basis with current techniques.