Numerical methods for singularly perturbed differential equations with applications. Final report, 1 April 1990-31 March 1993

Technical Report · Wed Mar 31 00:00:00 EST 1993

OSTI ID:5549399

Flaherty, J

During the three-year period of this project, the authors conducted research on the development, analysis, and application of serial and parallel adaptive computational strategies for solving transient and steady partial differential systems. Concentrating on high-order methods and adaptive approaches that combine mesh refinement and coarsening (h-refinement), order variation (p-refinement), and occasionally, mesh motion (r-refinement), they addressed problems in combustion, materials science and compressible fluid mechanics. Special spatially-discrete finite element Galerkin methods were considered for the parallel and adaptive solution of hyperbolic conservation laws. Improved solution-limiting and error-estimation strategies increased the accuracy and efficiency of these methods which are being applied to two - and three-dimensional compressible flow problems. Adaptive techniques for dissipative systems are being applied to problems in the manufacture of ceramic composite media.

• Research Organization: Rensselaer Polytechnic Inst., Troy, NY (United States). Dept. of Computer Science
• OSTI ID: 5549399
• Report Number(s): AD-A-272112/4/XAB; CNN: AFOSR-90-0194
• Resource Relation: Other Information: Original contains color plates: All DTIC/NTIS reproductions will be in black and white
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
37 INORGANIC
ORGANIC
PHYSICAL AND ANALYTICAL CHEMISTRY
COMBUSTION
NUMERICAL SOLUTION
FLUID MECHANICS
COMPRESSIBLE FLOW
PARALLEL PROCESSING
PROGRESS REPORT
CHEMICAL REACTIONS
DOCUMENT TYPES
FLUID FLOW
MECHANICS
OXIDATION
PROGRAMMING
THERMOCHEMICAL PROCESSES
420400* - Engineering- Heat Transfer & Fluid Flow
400800 - Combustion
Pyrolysis
& High-Temperature Chemistry