RESEARCH DIRECTIONS IN COMPUTATIONAL MECHANICS -- Copyright -- ACKNOWLEDGMENTS -- FOREWORD -- Contents -- EXECUTIVE SUMMARY -- COMPUTATIONAL MECHANICS: THE SUBJECT -- MAJOR INDUSTRIES AND TECHNOLOGICAL AREAS AFFECTED BY COMPUTATIONAL MECHANICS -- Manufacturing: Computer Simulation of Materials, Processes, and Products -- Space Exploration and Military Defense -- Environmental Phenomena -- Fundamental Scientific Research -- SIGNIFICANCE OF COMPUTATIONAL MECHANICS TO NATIONAL INTERESTS -- The High-Performance Computing and Communications Initiative -- CONCLUDING REMARKS -- 1 ADAPTIVE METHODS AND ERROR ESTIMATION -- A POSTERIORI ERROR ESTIMATION -- Adaptive Methods -- 2 PROTOTYPE TEST SIMULATION -- FINITE ELEMENT METHODOLOGY -- NEW TECHNOLOGIES -- 3 PARALLEL COMPUTATION -- COMPUTATION AND SUPERCOMPUTERS -- THE FEDERAL HIGH-PERFORMANCE COMPUTING PROGRAM -- Research Opportunities -- Education, Experimentation, and Access -- 4 ARTIFICIAL INTELLIGENCE IN MATHEMATICAL MODELING -- ARTIFICIAL INTELLIGENCE AND KNOWLEDGE-BASED SYSTEMS -- Knowledge-Based Expert Systems -- Problem Solving -- APPLICATIONS IN MATHEMATICAL MODELING -- Model Generation -- MODEL INTERPRETATION -- MODEL VALIDATION -- ABSTRACTION OF NUMERICAL RESULTS -- CONFORMANCE EVALUATION -- INTEGRATION IN DESIGN -- NUMERICAL MODEL FORMULATION -- SYMBOLIC PROCESSING -- REUSABLE SUBROUTINES -- PROGRAMMING WITH DATA ABSTRACTIONS -- MODEL SYNTHESIS ASSISTANCE -- MONITORING NUMERICAL SOLUTIONS -- COMPREHENSIVE MODELING ENVIRONMENTS -- Research Issues -- FLEXIBLE KNOWLEDGE-BASED SYSTEMS -- COMPILATION OF MODELING KNOWLEDGE -- SUMMARY -- 5 ENVIRONMENTAL CONTAMINATION AND GEOMECHANICAL SIMULATION -- STATUS OF GEOMECHANICAL SIMULATION -- PAST COMPUTATIONAL ADVANCES -- NEEDED ADVANCES -- 6 MATERIALS RESEARCH: NUMERICAL MODELING OF NEW MATERIALS -- THE LOCALIZATION OF DEFORMATION.

PROGRESSIVE CREATION OF NEW FREE SURFACE -- SURFACES, INTERFACES, AND MATERIAL-DEPENDENT LENGTH SCALES -- COUPLED FIELD PROBLEMS -- PHYSICALLY BASED INELASTIC CONSTITUTIVE LAWS -- 7 STRUCTURES AND STRUCTURAL DYNAMICS -- RECENT ADVANCES -- FUTURE DEVELOPMENTS -- Primary and Secondary Pacing Items -- Detailed Modeling of Complex Structures -- Predictions of Failure of Structural Components -- Solution of Large-Scale Structural Problems -- Computational Methods for Articulated Dynamical Systems -- 8 NONLINEAR EQUATIONS AND BIFURCATION -- ITERATIVE TECHNIQUES -- PARAMETERIZED PROBLEMS -- BIFURCATION WITH OR WITHOUT SYMMETRY -- Calculation of the Bifurcated Branches -- Calculation of Paths of Singular Points -- DIFFERENTIAL ALGEBRAIC EQUATIONS -- SINGULAR DIFFERENTIAL EQUATIONS -- 9 UNCERTAINTY AND STOCHASTIC PROCESSES IN MECHANICS -- PROBABILISTIC FRACTURE MECHANICS -- UNCERTAINTY AND RANDOMNESS IN LOADS -- SYSTEM STOCHASTICITY -- BOUNDING TECHNIQUES -- 10 CHEMICALLY REACTING FLOW AND COMBUSTION -- BASIC MODELING DIFFICULTIES -- RECENT ADVANCES -- OPEN PROBLEMS AND RESEARCH NEEDS -- POTENTIAL PAYOFF -- 11 NUMERICAL MODELING OF TURBULENCE -- RECENT HISTORY OF TURBULENCE COMPUTATIONS -- TAYLOR-GREEN VORTEX, VORTEX RECONNECTION, AND 3-DIMENSIONAL INERTIAL-RANGE DYNAMICS -- TWO-DIMENSIONAL AND QUASI-GEOSTROPHIC FLOWS -- TURBULENT MAGNETOHYDRODYNAMICS -- LARGE-EDDY SIMULATIONS -- CONVECTIVE FLOWS -- 12 GENERAL COMPUTATIONAL FLUID DYNAMICS -- HISTORICAL COMMENTS AND CURRENT STATUS -- COMPUTATIONAL AERODYNAMICS -- ROTORCRAFT FLOWS -- FULL-SCALE AIRCRAFT SIMULATION -- MONTE CARLO AND BOLTZMANN EQUATIONS METHOD -- UNSTEADY FLOWS -- ACOUSTICS AND FLUID-STRUCTURE INTERACTION -- WEATHER PREDICTION -- 13 NONLINEAR DYNAMICS OF MULTIPARTICLE SYSTEMS -- DISCRETE PARTICLE SIMULATION OF GRANULAR MATERIALS -- The Particle Dynamics Method.

Lattice-Gas (Cellular-Automata) Models -- NUMERICAL MODELING OF PARTICULATE SUSPENSIONS -- Stokesian Dynamics -- Lattice-Gas Suspension Models -- 14 MANUFACTURING PROCESS, DESIGN, AND DEVELOPMENT -- MATHEMATICAL ASPECTS.