ROSA:
MATHEMATICAL BACKGROUND AND APPLICATIONS

by

Sergei V Zhubrin

CHAM Limited, Wimbledon, London, UK

ABSTRACT

A compilation is provided of the complete set of the equations which are solved by the ROSA ( River Oil Spill Analyser ) add-on of PHOENICS computer code. Solution procedures are discussed in general terms.

Some new applications of ROSA, sub-model case studies and the validations against laboratory and full-scale field observations in natural rivers are presented.

The other relevant source of information is the earlier lecture on ROSA.

CONTENTS

1. Introduction
2. Basic modelling features
3. The river flow model
   1. Flows in large long rivers
   2. Shallow-water flows
   3. Algebraic surface drift
   4. Three-dimensional flow with surface wave emulations.
4. Oil spill model
   1. The surface oil slick equations
   2. The surface oil dispersion equations
   3. The suspended oil dispersion equations
5. Physical sub-models
   1. Surface advection
   2. Horizontal diffusion
   3. Mechanical Spreading
   4. Shoreline hold-up
   5. Shoreline re-entrainment
   6. Evaporation
   7. Dissolution
   8. Emulsification
   9. Sedimentation
   10. Vertical Mixing
   11. Surface ice cover allocation
6. Integration of the equation
   1. The overall solution algorithm
   2. Solution of the oil dispersion equations
7. Sub-models case studies.
   1. Wind drifting of oil slick
   2. Multi-fluid modelling of oil spills
   3. Water quality predictions
   4. Ice cover formation
   5. Oil slicks under ice cover
8. Hydraulic validations
   1. Free surface flows in open channel
   2. Flows and oil slicks in scaled river sections
   3. Water currents in natural rivers
9. Spill exercise case studies
   1. River Kiya spill exercise
   2. River Irtysh spill exercise
10. Hindcasting of the River Belaya spill
11. Transport and fates of toxic spills
12. Simulation of a pollution dispersion in Arctic
13. Concluding remarks
14. References
15. Appendix