Computational mechanics is a scientific discipline that marries physics, computers, and mathematics to emulate natural physical phenomena. It is a technology that allows scientists to study and predict the performance of various products—important for research and development in the industrialized world.
This book describes current trends and future research directions in computational mechanics in areas where gaps exist in current knowledge and where major advances are crucial to continued technological developments in the United States.
- 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
- 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
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