INTRODUCTION TO SOLIDIFICATION: PHYSICAL PHENOMENA AND MODELLING PRINCIPLES Boidar arler Laboratory for Multiphase Processes Nova Gorica Polytechnic, Nova Gorica, Slovenia Institut Podstawowych Problemov Techniki Polska Akademia Nauk Centrum Doskonalosci Nowoczesne Materialy i Konstrukcje Warszawa, Polska, kwiecien 9, 2003
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INTRODUCTION TO SOLIDIFICATION:PHYSICAL PHENOMENA AND MODELLING
PRINCIPLESBo�idar �arler
Laboratory for Multiphase ProcessesNova Gorica Polytechnic, Nova Gorica, Slovenia
Institut Podstawowych Problemov TechnikiPolska Akademia NaukCentrum Doskonalosci
�Nowoczesne Materialy i Konstrukcje�Warszawa, Polska, kwiecien 9, 2003
SCOPE
Introduction to Solid-Liquid Phase Change Phenomena
Introduction to Modeling of Solid-Liquid Systems
Introduction & Overview
Enthusiasm, Further Study, Identification of Interest
GOALS
TECHNOLOGIESFreezing of foodFreeze-dryingPurification of waterCriosurgery, preservation of transplants
Crystal growthCasting (20% of mass, 40% of money) WeldingSintering
Vitrification of radioactive waste
6th Framework: solidification engineering network of excellence
Advisory Board
Program CoordinationI-1
Personnel ExchangeI-2
Joint Research InfrastructureI-3
Integration
Multi-Phase AlloysR-1
Recycled Al-AlloysR-2
Multi-Scale ModellingR-3
Complex Shaped CastingsR-4
Joint Research
InternetS-1
WorkshopsS-2
TrainingS-3
PublicationsS-4
Spreading of Excellence
IntegrationM-1
ResearchM-2
KnowledgeM-3
ReportingM-4
AccountingM-5
Society and GenderM-6
Management
SOLE
ORGANISATION SCHEME OF THE SOLE NETWORK
Proposal Submission FormsEUROPEAN COMMISSION
6th Framework Programme forResearch, TechnologicalDevelopment and Demonstration
Network ofExcellence A2
Nanometer scale: nucleation
Micron scale: microstructure, stresses, strains
Millimeter scale: shape, properties of semi-products and products
COMPLEXITY OF THE SCALES
Jmatpro (2003), U.K.
COMPLEXITY OF THE COMPOSITIONS
COMPLEXITY OF THE SHAPES
PHYSICAL PHENOMENA (1)
one-phase system two-phase system
PHYSICAL PHENOMENA (2)
Free Boundary
Moving Boundary
solid phase 20 orders of magnitude higher viscosity as liquid phase
large jumps of other physical properties (thermal conductivity)
SIMPLIFICATIONS OF GENERAL AND CONSTITUTIVE AXIOMS
EVALUATION
ANALYTICAL SOLUTIONS
CORRELATIONS
DISCRETE APPROXIMATE SOLUTIONS
VALIDATION
Are the equations we are solving correct ?
VALIDATION
BASIC LOGIC:
COMPARISON WITH OTHER METHODS
COMPARISON WITH EXPERIMENTS
SENSITIVITY STUDIES
VERIFICATION
Are we solving properly the equations ?
VERIFICATION
FINITE DIFFERENCE METHODS
FINITE VOLUME METHODS
FINITE ELEMENT METHODS
SPECTRAL METHODS
BOUNDARY ELEMENT METHODS
MESHLESS METHODS
VERIFICATION
CONSISTENCYsolving the proper equationSTABILITYsmall changes in input - small changes in outputCONVERGENCEmesh refinement - solution accuracy refinementCONSERVATIONlocal, global - conservation of physical propertiesBOUNDSlocal, global - bounds of physical propertiesREALIZATIONreasonable computer time, reasonable computer storageERRORdiscretisation error, round-off error