Download - Mathematical Physics de...Mathematical Physics Arnold Heemink, TU Delft 11/17/08 2 Modelling physical phenomena using (stochastic) (partial) differential equations: Analysis of the

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Mathematical PhysicsArnold Heemink, TU Delft

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Modelling physical phenomena using (stochastic) (partial) differential equations: Analysis of the model (resonance) Numerical simulation Inverse modelling (parameter estimation) Data assimilation (for real-time forecasting)

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Related courses at TU Delft: Advanced modelling in Science Nonlinear differential equations Environmental simulation and data

assimilation Computational aspect of stochastic

differential equations

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Examples of projects

Modelling coastal sea pollution transport

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Why modelling Environmental Transport?

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Modelling coastal sea pollution transport Modelling transport of sand

(morphodynamics)

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Small sand dunes on the beach

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Large sand dunes along the North Sea coast

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(morphodynamics) Modelling atherosclerosis

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Atherosclerosis

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(morphodynamics) Modelling atherosclerosis Estimation permeability field in oil

reservoir models

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reservoir models Real-time forecasting of waterlevels and

tidal flows

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Why forecasting water levels?

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Grid of storm surge forecasting model

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Example of a flow pattern

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Example of a water level forecast

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Grid ofCoastalmodel

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Data locations

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HF radar data

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Measurementsof the vertical velocity profile

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reservoir models Real-time forecasting of waterlevels and

tidal flows Estimation of emissions in air pollution

models