Adaptive computational methods for SSME internal flow analysis
Abstract
Adaptive finite element methods for the analysis of classes of problems in compressible and incompressible flow of interest in SSME (space shuttle main engine) analysis and design are described. The general objective of the adaptive methods is to improve and to quantify the quality of numerical solutions to the governing partial differential equations of fluid dynamics in twodimensional cases. There are several different families of adaptive schemes that can be used to improve the quality of solutions in complex flow simulations. Among these are: (1) rmethods (noderedistribution or moving mesh methods) in which a fixed number of nodal points is allowed to migrate to points in the mesh where high error is detected; (2) hmethods, in which the mesh size h is automatically refined to reduce local error; and (3) pmethods, in which the local degree p of the finite element approximation is increased to reduce local error. Two of the three basic techniques have been studied in this project: an rmethod for steady Euler equations in two dimensions and a pmethod for transient, laminar, viscous incompressible flow. Numerical results are presented. A brief introduction to residual methods of aposterior error estimation is also given and some pertinent conclusions of the study are listed.
 Publication:

Final Report Computational Mechanics Co
 Pub Date:
 1986
 Bibcode:
 1986cmc..rept.....O
 Keywords:

 Compressible Flow;
 Computation;
 Computational Fluid Dynamics;
 Euler Equations Of Motion;
 Finite Element Method;
 Flow Equations;
 Incompressible Flow;
 NavierStokes Equation;
 Partial Differential Equations;
 Space Shuttle Main Engine;
 Computational Grids;
 Error Analysis;
 Inviscid Flow;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer