# Accession Number:

## ADA190897

# Title:

## Fast Algorithms for Euler and Navier-Stokes Simulations.

# Descriptive Note:

## Final rept. 1 Jan-30 Sep 87,

# Corporate Author:

## INSTITUTE FOR SCIENTIFIC COMPUTING FORT COLLINS CO

# Personal Author(s):

# Report Date:

## 1987-11-30

# Pagination or Media Count:

## 15.0

# Abstract:

An explicit flow solver, applicable to the hierarchy of model equations ranging from Euler to full Navier-Stokes, was combined with several techniques designed to reduce computational expense. The computational domain consisted of local grid refinements embedded in a global coarse mesh, where the locations of these refinements are defined by the physics of the flow. Flow characteristics were also used to determine which set of model equations is appropriate for solution in each region, thereby reducing not only the number of grid points at which the solution must be obtained, but also the computational effort required to get that solution. Acceleration to steady-state was achieved by applying multigrid on each of the subgrids, regardless of the particular model equations being solved. Since each of these components is explicit, advantage could readily be taken of the vector-and parallel-processing capabilities of machines such as the Cray X-MP and Cray 2.

# Descriptors:

# Subject Categories:

- Fluid Mechanics
- Computer Programming and Software