Project Title:

Solution of the Navier-Stokes Equations on Unstructured Grids Based on Adaptive Methods

02.08-0618
Solution of the Navier-Stokes Equations on Unstructured Grids Based on Adaptive Methods
and Operator Splitting
Computational Mechanics Company, Inc.
3701 North Lamar, Suite 201
Austin
TX
78705
Jon M.
Bass
(512-467-0618)
ARC

Abstract:

  Today, the majority of CFD calculations apply standard fixed-grid, finite-difference
methods which cannot exploit current computing power nor deliver highly accurate
simulations of fine-scale, complex flows. To solve complex flow problems that are
not now treated satisfactorily, innovative computational procedures representing
a significant departure from conventional, finite-difference flow solvers must be
developed.  This project addresses two basic ideas for developing a new family of
CFD codes: operator-splitting techniques that provide special, high-order schemes
for the convection and diffusion steps in an unsteady, Navier-Stokes calculation
and special h-p adaptive schemes on unstructured grids.
Phase I focusses on operator-splitting methods for Euler equations on unstructured
grids giving particular attention to explicit methods that are second-order accurate
in time. Reliable a-posteriori error estimators will provide a basis for h-p adaptivity.

Potential Commercial Application:

Potential Commercial Applications:  A new family of commercial CFD codes that are
crucial for the design of aerospace systems and other external flows could result.