Multiresolution visualization of higher order adaptive finite element simulations

Authors:
B. Haasdonk;M. Ohlberger;M. Rumpf;A. Schmidt;K. G. Siebert
Affiliations:
Institut für Informatik, Universität Freiburg, Georges-Köhler-Allee Geb. 52, D-79110 Freiburg;Institut für Angewandte Mathematik, Universität Freiburg, Hermann-Herder-Str. 10, D-79104 Freiburg;Fachbereich Mathematik, Universität Duisburg, Lotharstrasse 65, D-47048 Duisburg;Zentrum für Technomathematik, FB 3, Universität Bremen, Postfach 33 04 40, D-28334 Bremen;Institut für Mathematik, Universität Augsburg, Universitätsstr 14, D-86159 Augsburg
Venue:
Computing
Year:
2003

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Abstract

We propose an appropriate and efficient multiresolution visualization method for piecewise higher order polynomial data on locally refined computational grids. Given some suitable error indicators, we efficiently extract a continuous h-p-adaptive projection with respect to any prescribed threshold value for the visual error. This projection can then be processed by various local rendering methods, e.g. color coding of data or isosurface extraction. Especially for color coding purposes modern texture capabilities are used to directly render higher polynomial data by superposition of polynomial basis function textures and final color look-up tables. Numerical experiments from CFD clearly demonstrate the applicability and efficiency of our approach.