Model-Based Visualization of Instationary Geo-Data with Application to Volcano Ash Data

Martin Baumann (), Jochen Förstner (), Vincent Heuveline (), Jonas Kratzke (), Sebastian Ritterbusch (), Bernhard Vogel () and Heike Vogel ()
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Martin Baumann: Karlsruhe Institute of Technology, Engineering Mathematics and Computing Lab (EMCL)
Jochen Förstner: Karlsruhe Institute of Technology, Engineering Mathematics and Computing Lab (EMCL)
Vincent Heuveline: Karlsruhe Institute of Technology, Engineering Mathematics and Computing Lab (EMCL)
Jonas Kratzke: Karlsruhe Institute of Technology, Engineering Mathematics and Computing Lab (EMCL)
Sebastian Ritterbusch: German Weather Service (DWD)
Bernhard Vogel: Karlsruhe Institute of Technology (KIT), Institute for Applied and Numerical Mathematics
Heike Vogel: Engineering Mathematics and Computing Lab, University of Heidelberg, Interdisciplinary Center for Scientific Computing

A chapter in Handbook of Geomathematics, 2015, pp 1417-1441 from Springer

Abstract: Abstract Driven by today’s supercomputers, larger and larger sets of data are created during numerical simulations of geoscientific applications. Such data often describes instationary processes in three-dimensional domains in terms of multi-dimensional data. Due to limited computer resources, it might be impossible or unpractical to store all data created during one simulation, which is why several data reduction techniques are often applied (e.g., only every nth time-step is stored). Intuitive scientific visualization techniques can help to better understand the structures described by transient data. Adequate reconstruction techniques for the time-dimension are needed since standard techniques (e.g., linear interpolation) are insufficient for many applications. We describe a general formalism for a wide class of reconstruction techniques and address aspects of quality characteristics. We propose an approach that is able to take arbitrary physical processes into account to enhance the quality of the reconstruction. For the eruption of the volcano Eyjafjallajökull in Iceland in the spring of 2010, we describe a suitable reduced model and use it for model-based visualization. The original data was created during a COSMO-ART simulation. We discuss the reconstruction errors, related computational costs, and possible extensions. A comparison with linear interpolation clearly motivates the proposed model-based reconstruction approach.

Keywords: Linear Interpolation; Vertical Wind; Reconstruction Approach; Volcano Eruption; Proper Orthogonal Decomposition Method (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-642-54551-1_87

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