Modelling and Simulation
Model: A system of postulates, data and interfaces presented as a mathematical description of an entity or proceedings or state of affair. (Development of equations, constraints and logic rules)
Simulation: Exercising the model and obtaining results. (Implementation of the model)
Simulation has emerged as the Third methodology of exploring the truth. It would complement the theory and experimental methodology. Simulation will never replace them.
Simulations are applicable in the following situations:
1. When operating conditions change e.g. temperature, pressure, etc
2. When non-controllable factors change e.g. weather, earthquake
3. Dependence of variation of critical factors e.g. fatigue, resonance may be destructive.
4. How sensitive is one factor to the changes in another?
5. Other benefits: a) Useful in design b) Study effects of constraints c) Increase understanding
6. Pitfalls: An assumption, which the owner can’t model or verbalise; so when two independent models clash, contradictory results arise
Advantages of simulation
Saves manpower, material
Useful even if not possible by other means
Saves money with fast, consistent answers
Could be used for education after establishing
Increased flexibility, accuracy, range of operation
New results not available before
Improved results due to standardization
Increased understanding
Explicitly stated assumptions and constraint
Requirements/ skill required
Computer
Skill/Expertise
Time for implementation
Drawbacks:
Modelling errors at different levels – Scientific model of reality – Mathematical model – Discrete numerical model – Application program model – Computational model
Input errors: Out of range inputs can give spurious results
Precision errors: Limits in the precision
Phases of development of simulation model
Real system to mathematical model
Algorithm to solve mathematical model
Implementation on a computer
Validation – User with I/O – Model – Evaluations
Simulation
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