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Environmental Modelling, Security Measures and Decision Making. Zahari Zlatev National Environmental Research Institute Frederiksborgvej 399, P. O. Box 358 DK-4000 Roskilde, Denmark zz@dmu.dk. CONTENTS. Two types environmental models Critical levels established in EU
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Environmental Modelling, Security Measures and Decision Making Zahari Zlatev National Environmental Research Institute Frederiksborgvej 399, P. O. Box 358 DK-4000 Roskilde, Denmark zz@dmu.dk
CONTENTS • Two types environmental models • Critical levels established in EU • Critical levels and decision making • Critical levels and climatic changes • UNI-DEM – Mathematical Description • Numerical Treatment • Parallel Computations • Designing a Set of Scenarios • Some Results • Major Conclusions
Generic Formulation of an Air Pollution Model Using splitting: advantages and drawbacks
Applying splitting techniques Coupling the sub-models
Numerical treatment of the horizontal transport 1. How to obtain the system of ODEs? 2. How to solve the system of ODEs? Explicit methods with a stability control Need for faster but still sufficiently accurate methods
Numerical treatment of the chemical reactions 1. No spatial derivatives 2. Non-linear and stiff system of ODEs 3. Extremely badly scaled 4. Implicit numerical methods Need for faster but still sufficiently accurate methods
Numerical treatment of the vertical exchange 1. P and H depend on the spatial discretization 2. Linear and stiff system of ODEs 3. Implicit numerical methods 4. This sub-model is cheaper than the other two Need for faster but still sufficiently accurate methods
UNI-DEM Initializing the model: NX: 96, 288, 480 NY: NY = NX (rectangular domains) NZ: 1 or 10 (easy to put more layers) N_SPECIES: 35, 56, 168 (RADM2, RACM) N_CHUNKS: chunks for parallel runs N_REFINED: related to emissions, 0 or 1 N_YEAR: year (any year from 1989 to 2004)
Size of the involved matrices Discretization Equations Time-steps 96x96x10 3 225 600 35 520 288x288x10 29 030 400 106 560 480x480x10 80 640 000 213 120 Assumption: 35 chemical species are used Why refined grids are needed?
Conclusions • Take the inter-annual variations into account: runs over long time periods (20-30 years) are necessary • It is not enough to use scenarios based only on variations of the anthropogenic emissions: the natural emissions are also important • Comparing only concentrations is not enough: quantities related to the concentrations and having damaging effects might vary very much even if the variations of the concentrations are small • Large sets of scenarios are to be used • The use of fine resolution discretization is highly desirable • A direct consequence of the above requirements: need for better and faster mathematical and computational tools (numerical methods, reordering the computations, parallel codes, efficient exploitation of computer grids) • Data assimilation might lead to some considerable improvements • Statistical and graphical representation of the results to make them easily understandable even for non-specialists
More details • Z. Zlatev and I. Dimov:”Computational and Numerical Challenges in Environmental Modelling”, Elsevier, Amsterdam - Boston - Heidelberg -New York - Oxford - Paris - San Diego - Singapore - Sydney - Tokyo, 2006. • Z. Zlatev et al.:“Impact of Climate Changes on Pollution Levels in Europe”, http://www.softasap.net/ips/climatic_scenarios_NATO.pdf http://www2.dmu.dk/atmosphericenvironment/Climate%20and%20Pollution