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## Essential Units for Masterclass Certificate in Volcanic Lava Flow Simulation
**• Introduction to Volcanic Systems**
* • What is volcanic systems?
* • Components of volcanic systems
* • Examples of volcanic systems
**• Numerical Modeling of Volcanic Flows**
* • Finite difference methods
* • Grid spacing and resolution
* • Computational domains
* • Numerical stability and error analysis
**• Volcanic Eruptions**
* • Types of volcanic eruptions
* • Pyroclastic flows and ash clouds
* • Fluid dynamics and gas dynamics during eruptions
* • Numerical modeling of eruption dynamics
**• Volcanic Products and Ash**
* • Pyroclastic deposits
* • Ash dispersal and deposition
* • Ash-cloud properties and radiative transfer
**• Numerical Techniques for Volcanic Flow**
* • Computational fluid dynamics (CFD)
* • Discrete particle simulation (DPS)
* • Lattice Boltzmann method
* • High-resolution numerical modeling
**• Applications of Numerical Modeling**
* • Forecasting volcanic hazards
* • Assessing volcanic risk
* • Studying volcanic evolution
* • Exploring volcanic history
**• Case Studies and Real-World Examples**
* • Recent volcanic activity in different regions
* • Historical volcanic records and data
* • Numerical simulations of specific eruptions
**• Advanced Topics in Numerical Modeling**
* • Fluid-gas interactions
* • Reactive and non-reactive volcanic systems
* • Numerical simulation of volcanic hazards
**• Conclusion**
* • Summary of key concepts
* • Importance of numerical modeling in volcanic science
* • Future directions in volcanic research