UIB Universitat de les Illes Balears Masters in Physics SUBJECT DESCRIPTION Details Subject Name of subject: Spatial Analysis, Diagnostics and Simulation in Geophysical Fluids Code: 10108 Type: Optional Level: Postgraduate Year: 1, 2 Semester: 2 Language: Catalan / Spanish. English for reading. The subject may be taught in English, depending on the students. Teaching staff Subject leader Name: Romualdo Romero March Other staff Name: Damià Gomis Bosch Contact: romu.romero@uib.es Contact: damia.gomis@uib.es Pre-requisites: Bachelor’s degree in Science Number of ECTS credits: 5 Contact hours: 30 Independent study hours: 95 Key terms: Objective spatial analysis methods: 2D vs. 3D, univariates and multivariates. Optimal interpolation. Error assessment. Calculation of derived variables. Dynamic and thermodynamic diagnosis of meteorological situations. Quasi-geostrophic filtered numerical models. Primitive equation models and parameterisation of physical processes. Sensitivity and factor separation techniques: Application to the inversion of potential vorticity. Subject aims Subject skills and objectives Specific: 1. Learn basic spatial and temporal discretisation concepts. Learn statistical concepts. 2. Learn various models of spatial analysis: theoretical basis and practical applications 3. Apply knowledge to concrete problems: design a sampling and analysis strategy for real data. 4. Be ware of dynamic and thermodynamic diagnosis tools for meteorological situations and their formulation from objective analysis arranged in a 3D network. 5. Historical view of the problem of numerical weather forecasting. Programming strategies for filtered models. Compression of formulation of the dynamics and physical processes in present mesoscale forecasting models. Non-hydrostatic model MM5. 6. Practically apply knowledge: programming filtered models and application to ideal situations; design of control and sensitivity simulations with MM5 for forecast and diagnose real situations. 7. Adopt strategies to process large volumes of data. General: 1. Understand and express meanings in physical, mathematical and programming language. 2. Apply theoretical and practical knowledge to problem solving. 3. Apply information technology. 4. Begin research in field. Content Diagrams of spatial and temporal discretisation in physical space and frequency space Objective spatial analysis methods: 2D vs. 3D methods. Univariate vs. multivariate methods Empirical methods: weight functions depending on distance. Concept of frequential response of analysis Optimal interpolation method: theoretical basis and mathematical development. Method potential and limitations Interpolation method based on orthogonal empirical functions Calculation of errors associated with interpolation: separation of observational and sampling errors Calculation of derived variables: geostrophic speed, geostrophic vorticity, vertical speed and geopotential / dynamic height tendency Practical application: analysis of real meteorological / oceanographic data Dynamic and thermodynamic meteorological diagnosis. Formulation of dynamic quasigeostrophic forcing and characterisation of convective environments. Practical application to situation of heavy rain and cyclogenesis Objective and history of numerical weather forecasting. Comparison with numerical simulation of case studies Introduction to numerical resolution methods (finite and spectral differences and finite elements). Linear and nonlinear numerical instabilities Filtered methods: quasi-geostrophic barotropic, equivalent barotropic and multi-level baroclinic models; linear and nonlinear outcome models. Programming filtered models and application to ideal situations Primitive equation models: basic equations, simplifications by scale, Reynolds average, parameterisation of physical processes and some examples. Application of mesoscale MM5 to the simulation of real situations. Predictability. Strategies for forecasting by groups Techniques for the separation and inversion of potential vorticity. Practical application to intense Mediterranean cyclone with MM5 to study influence of contour factors (orography), physics (evaporation of the sea) and initial conditions (characteristics of watercourses at altitude) Methodology Subject-specific Learning skills method Spec. 1, 2, 4, 5, 6, Class Gen. 1, 2, 3 Spec. 3, Gen. 3 Practical class Spec. 7, 8, Gen. 3 Computer laboratory Gen. 3, 4 Presentation group work Spec. 1, 2, 3, 4, 5, Tutorial 6, 7, 8 Gen. 1, 2, 3 Spec. 1, 2, 4, 5, 6, Study of theory 8 Gen. 1, 2, 3 Spec. 3, 7, 8, Study of practice Gen. 3 Spec. 3, 7, Practical work Gen. 3, 4, 4 Type of group Student hours Intermediate 18 Intermediate Intermediate 4 4 Intermediate 2 Small 2 40 20 35 For this subject, 10% of attendance-based activities will be carried out via e-learning. Learning agreement and assessment criteria and instruments Assessment criteria: 1. Gaining and/or fulfilling the subject-specific skills 2. Interest shown throughout course Assessment instruments: 1. Presentation of a piece of practical work Marking criteria: 1. 100%: Practical work Is assessment organised by means of a learning agreement? No Bibliography, resources and appendices 1. Gomis, D.; Análisis Espacial en Fluidos Geofísicos. Notas editadas del curso. 2. Daley, R., 1991: Atmospheric data analysis. Cambridge Univ. Press, 457 pp. 3. Thiébaux, H. J., Pedder, M. A., 1987: Spatial objective analysis. Academic Press, London, 299 pp. 4. Gomis, D., M. A. Pedder, 2005: Errors in dynamical fields inferred from synoptic oceanographic cruise data. Part I: the impact of observation errors and the sampling distribution. J. Mar. Sys., 56/3-4, 317-333. 5. Gomis, D., M. A. Pedder, A. Pascual, 2005: Errors in dynamical fields inferred from synoptic oceanographic cruise data. Part II: the impact of the lack of synopticity. J. Mar. Sys., 56/3-4, 334-351 6. Gomis, D, S. Ruiz: DATOBJETIVO: Una herramienta para el análisis espacial objetivo y diagnóstico de variables oceanográficas. http://www.imedea.uib.es/oceanography/html/frames/ frame_facilities.htm 7. Davis, C. A. and K. Emanuel, 1991: Potential vorticity diagnostics of cyclogenesis. Mon. Wea. Rev., 119, 1929-1953. 8. Haltiner, G. J. y R. T. Willians, 1980: Numerical prediction and dynamic meteorology, John Wiley & Sons. 9. Holton, J. R., 1992: An introduction to dynamic meteorology, 3rd Edition, Academic Press. 10. Romero, R., 2003: MM5v3 Modeling System. Notes from course. 11. Pielke, R. A., 1984: Mesoscale meteorological modeling, Academic Press. 12. Romero, R., 2001: Sensitivity of a heavy rain producing Western Mediterranean cyclone to embedded potential vorticity anomalies. Quart. J. R. Meteorol. Soc., 127, 2559-2597. 13. Stein, U. and P. Alpert, 1993: Factor separation in numerical simulations. J. Atmos. Sci., 50, 2107-2115. 14. Material available on the web and photocopies provided by tutor